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<!-- Generated by Doxygen 1.5.9 -->
  <div class="navpath"><a class="el" href="namespaceitk.html">itk</a>::<a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a>
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<h1>itk::AffineTransform&lt; TScalarType, NDimensions &gt; Class Template Reference<br>
<small>
[<a class="el" href="group__Transforms.html">Transforms</a>]</small>
</h1><!-- doxytag: class="itk::AffineTransform" --><!-- doxytag: inherits="MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;" --><code>#include &lt;<a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>&gt;</code>
<p>
<div class="dynheader">
Inheritance diagram for itk::AffineTransform&lt; TScalarType, NDimensions &gt;:</div>
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<p><center><img src="classitk_1_1AffineTransform__inherit__graph.png" border="0" usemap="#itk_1_1AffineTransform_3_01TScalarType_00_01NDimensions_01_4__inherit__map" alt="Inheritance graph"></center>
<map name="itk_1_1AffineTransform_3_01TScalarType_00_01NDimensions_01_4__inherit__map">
<area shape="rect" id="node17" href="classitk_1_1AzimuthElevationToCartesianTransform.html" title="Transforms from an azimuth, elevation, radius coordinate system to a Cartesian coordinate..." alt="" coords="3039,5,3553,35"><area shape="rect" id="node19" href="classitk_1_1CenteredAffineTransform.html" title="Affine transformation with a specified center of rotation." alt="" coords="3085,59,3507,88"><area shape="rect" id="node21" href="classitk_1_1ScalableAffineTransform.html" title="Affine transformation with a specified center of rotation." alt="" coords="3091,112,3501,141"><area shape="rect" id="node2" href="classitk_1_1MatrixOffsetTransformBase.html" title="itk::MatrixOffsetTransformBase\&lt; TScalarType, NDimensions, NDimensions \&gt;" alt="" coords="2045,59,2579,88"><area shape="rect" id="node4" href="classitk_1_1Transform.html" title="itk::Transform\&lt; TScalarType, NInputDimensions, NOutputDimensions \&gt;" alt="" coords="533,53,1029,83"><area shape="rect" id="node13" href="classitk_1_1MatrixOffsetTransformBase.html" title="itk::MatrixOffsetTransformBase\&lt; TScalarType, NInputDimensions, NOutputDimensions \&gt;" alt="" coords="1081,88,1697,117"><area shape="rect" id="node6" href="classitk_1_1TransformBase.html" title="itk::TransformBase" alt="" coords="335,53,481,83"><area shape="rect" id="node8" href="classitk_1_1Object.html" title="Base class for most itk classes." alt="" coords="187,53,283,83"><area shape="rect" id="node10" href="classitk_1_1LightObject.html" title="Light weight base class for most itk classes." alt="" coords="7,53,135,83"><area shape="rect" id="node23" href="classitk_1_1FixedCenterOfRotationAffineTransform.html" title="Affine transformation with a specified center of rotation." alt="" coords="3607,112,4119,141"></map>
<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
<div class="dynheader">
Collaboration diagram for itk::AffineTransform&lt; TScalarType, NDimensions &gt;:</div>
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<p><center><img src="classitk_1_1AffineTransform__coll__graph.png" border="0" usemap="#itk_1_1AffineTransform_3_01TScalarType_00_01NDimensions_01_4__coll__map" alt="Collaboration graph"></center>
<map name="itk_1_1AffineTransform_3_01TScalarType_00_01NDimensions_01_4__coll__map">
<area shape="rect" id="node2" href="classitk_1_1MatrixOffsetTransformBase.html" title="itk::MatrixOffsetTransformBase\&lt; TScalarType, NDimensions, NDimensions \&gt;" alt="" coords="5067,324,5600,353"><area shape="rect" id="node4" href="classitk_1_1Transform.html" title="itk::Transform\&lt; TScalarType, NInputDimensions, NOutputDimensions \&gt;" alt="" coords="3256,421,3752,451"><area shape="rect" id="node62" href="classitk_1_1MatrixOffsetTransformBase.html" title="itk::MatrixOffsetTransformBase\&lt; TScalarType, NInputDimensions, NOutputDimensions \&gt;" alt="" coords="4103,324,4719,353"><area shape="rect" id="node6" href="classitk_1_1TransformBase.html" title="itk::TransformBase" alt="" coords="2015,423,2161,452"><area shape="rect" id="node8" href="classitk_1_1Object.html" title="Base class for most itk classes." alt="" coords="1308,423,1404,452"><area shape="rect" id="node10" href="classitk_1_1LightObject.html" title="Light weight base class for most itk classes." alt="" coords="691,436,819,465"><area shape="rect" id="node12" href="classitk_1_1SimpleFastMutexLock.html" title="Critical section locking class that can be allocated on the stack." alt="" coords="105,436,300,465"><area shape="rect" id="node14" href="classitk_1_1MetaDataDictionary.html" title="itk::MetaDataDictionary" alt="" coords="661,383,848,412"><area shape="rect" id="node16" href="classitk_1_1MetaDataDictionary_1_1MetaDataDictionaryMapType.html" title="itk::MetaDataDictionary::MetaDataDictionaryMapType" alt="" coords="5,383,400,412"><area shape="rect" id="node18" href="classitk_1_1TimeStamp.html" title="Generate a unique, increasing time value." alt="" coords="692,307,817,336"><area shape="rect" id="node20" href="classitk_1_1Array2D.html" title="itk::Array2D\&lt; double \&gt;" alt="" coords="2000,483,2176,512"><area shape="rect" id="node22" href="classvnl__matrix.html" title="vnl_matrix\&lt; double &#160;\&gt;" alt="" coords="1273,536,1439,565"><area shape="rect" id="node24" href="classitk_1_1Array2D.html" title="Array2D class representing a 2D array with size defined at construction time." alt="" coords="1252,483,1460,512"><area shape="rect" id="node26" href="classvnl__matrix.html" title="vnl_matrix\&lt; TValueType \&gt;" alt="" coords="657,489,852,519"><area shape="rect" id="node28" href="classitk_1_1Array.html" title="Array class with size defined at construction time." alt="" coords="1995,369,2181,399"><area shape="rect" id="node30" href="classvnl__vector.html" title="vnl_vector\&lt; TValueType \&gt;" alt="" coords="1257,369,1455,399"><area shape="rect" id="node33" href="classitk_1_1Point.html" title="itk::Point\&lt; TScalarType, itkGetStaticConstMacro(InputSpaceDimension)\&gt;" alt="" coords="3245,148,3763,177"><area shape="rect" id="node35" href="classitk_1_1FixedArray.html" title="itk::FixedArray\&lt; TScalarType, NPointDimension \&gt;" alt="" coords="1556,169,1905,199"><area shape="rect" id="node37" href="classitk_1_1FixedArray.html" title="Simulate a standard C array with copy semnatics." alt="" coords="611,91,899,120"><area shape="rect" id="node41" href="classitk_1_1FixedArray.html" title="itk::FixedArray\&lt; TCoordRep, NPointDimension \&gt;" alt="" coords="1184,117,1528,147"><area shape="rect" id="node46" href="classitk_1_1FixedArray.html" title="itk::FixedArray\&lt; TScalarType,NVectorDimension \&gt;" alt="" coords="1553,65,1908,95"><area shape="rect" id="node51" href="classitk_1_1FixedArray.html" title="itk::FixedArray\&lt; T, NVectorDimension \&gt;" alt="" coords="1212,13,1500,43"><area shape="rect" id="node39" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n&#45;Dimensional space." alt="" coords="1935,117,2241,147"><area shape="rect" id="node44" href="classitk_1_1Vector.html" title="itk::Vector\&lt; TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)\&gt;" alt="" coords="3233,64,3775,93"><area shape="rect" id="node49" href="classitk_1_1Vector.html" title="A templated class holding a n&#45;Dimensional vector." alt="" coords="1956,13,2220,43"><area shape="rect" id="node54" href="classitk_1_1Matrix.html" title="itk::Matrix\&lt; TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)\&gt;" alt="" coords="3071,503,3937,532"><area shape="rect" id="node56" href="classitk_1_1Matrix.html" title="A templated class holding a M x N size Matrix This class contains a vnl_matrix_fixed..." alt="" coords="1960,547,2216,576"><area shape="rect" id="node59" href="classitk_1_1Matrix.html" title="itk::Matrix\&lt; TScalarType, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)\&gt;" alt="" coords="3071,556,3937,585"></map>
<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>

<p>
<a href="classitk_1_1AffineTransform-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Types</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Point.html">Superclass::CenterType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#4d914ac7f6668b988bba2dd1b6201163">CenterType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1SmartPointer.html">SmartPointer</a>&lt; const <a class="el" href="classitk_1_1AffineTransform.html">Self</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#9eeef8c9c33d60883c97932c133e2ca2">ConstPointer</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1CovariantVector.html">Superclass::InputCovariantVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#b0c316d2b578651be0d883cbb05403e3">InputCovariantVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Point.html">Superclass::InputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#378d3f44813d2d3a591a564bbacb5697">InputPointType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::InputVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#8edb409d76a9abce279eda2bec498539">InputVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#b702d697470ff52439290fa74340df57">Superclass::InputVnlVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1Matrix.html">Superclass::InverseMatrixType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#2038510d1e843f7643a35ffe79aaf3f1">InverseMatrixType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9fb2ca287b41ee9535727cef4a591359">Superclass::JacobianType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Matrix.html">Superclass::MatrixType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#7543c5eece332e1dad63383d3c4fbb4f">MatrixType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::OffsetType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#3e7b98307ae10441a548e68d4753a3a0">OffsetType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1CovariantVector.html">Superclass::OutputCovariantVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#71a411da439eb6d05651a163ad31c8b2">OutputCovariantVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Point.html">Superclass::OutputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#774668199574642f36b6101c8a95e738">OutputPointType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1Vector.html">Superclass::OutputVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#33cad0d368c406d850f5f16869697860">OutputVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3834e12b5eba107f009c1b9dd9b183dd">Superclass::OutputVnlVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Array.html">Superclass::ParametersType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#80b08a56e6d6e2cc2623e5ac284a7635">ParametersType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1SmartPointer.html">SmartPointer</a>&lt; <a class="el" href="classitk_1_1AffineTransform.html">Self</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#e75982638011c846c2a3c001ffcb5dd3">Pointer</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#48ea486858b11578c573ed2ae5049a02">Superclass::ScalarType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#448071ad4ed2232dd9ce64b984f746d8">Self</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <br class="typebreak">
<a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">MatrixOffsetTransformBase</a><br class="typebreak">
&lt; TScalarType, NDimensions, <br class="typebreak">
NDimensions &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#b38eb704f77cd8c0df2030e0d50c37fd">Superclass</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::TranslationType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#da4996f0bc5ce7ced65cd04864d04920">TranslationType</a></td></tr>

<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Point.html">InputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#c0ac88749969c3b89cf1e84bf52c9061">BackTransformPoint</a> (const <a class="el" href="classitk_1_1Point.html">OutputPointType</a> &amp;point) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3844f3618ebdcd3dfe9206775b70607e">Compose</a> (const <a class="el" href="classitk_1_1AffineTransform.html">Self</a> *other, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classitk_1_1SmartPointer.html">LightObject::Pointer</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#c36c03b81115c9a089bc46cdba22e1b6">CreateAnother</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#bc251c28f17728a618d8b2a55e6e66d8">DebugOff</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#de27d01f85f71723bcbb3ec54f630b31">DebugOn</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#17444d38d6f52e9e3bdf080dfffbe803">Delete</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#dbafaf9635750c1b0e204c52deb1de46">GetCenter</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Command.html">Command</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#031c14d32abf5310bb2d0293216fc20b">GetCommand</a> (unsigned long tag)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#cf1456e40e57a23d7e7f051ca2e102cf">GetDebug</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9cb1e05084038cf0a98cd986d3929cc8">GetFixedParameters</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#ace5dcf3d1887f2dacf126a28fdf3ecb">GetInputSpaceDimension</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">GetInverseMatrix</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#1307a0a16d5b7b322b41dabb9d9e63c1">GetJacobian</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;point) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#078ec7913b57c25da7d9054ae87fd553">GetMatrix</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#ab4e913cbfc535646fc7e33f5b2e897d">GetMetaDataDictionary</a> (void) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#414d257cfb90dd76c8f6e29a796531b0">GetMetaDataDictionary</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual unsigned long&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#cab7d8d23240dacdbee33e5d1230a23e">GetMTime</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual const char *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#c169cc1cbab824c99e28c1dbcad99420">GetNameOfClass</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#22265f9a534bdb86d0daa4bd76bc4e7d">GetNumberOfParameters</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#254e2cbfddb6e349e904720377559d27">GetOffset</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#ece63194bf2b71f2affb160356f173af">GetOutputSpaceDimension</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3a2fc7c0a9d2a6772b75c1b3cd998001">GetParameters</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#48b4964378e7835c61aa54c3104eee61">GetReferenceCount</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual std::string&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#4ff4911cf512e7dcc94a7394bf123baf">GetTransformTypeAsString</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#504f15415b1f3d43f5bf58ce822dba3d">GetTranslation</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#1969769aece35c36fcf240bda3d57a30">HasObserver</a> (const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;event) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#1bb33c340bb9a88c496cdd4359043294">InvokeEvent</a> (const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#0040fe1667da646a6e9029ea91b966dd">InvokeEvent</a> (const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3ef4c0babc3ba144a3fa54fbe1834961">IsLinear</a> () const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#25a90751f01088f283758d35b1e67226">Metric</a> (void) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#01d29c1138b1c3af85516e336a7f1479">Metric</a> (const <a class="el" href="classitk_1_1AffineTransform.html">Self</a> *other) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#33101e349626ac58ced6682b061d8277">Modified</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#bb0e07472c48d5a2033ac69ed519a338">Print</a> (std::ostream &amp;os, <a class="el" href="classitk_1_1Indent.html">Indent</a> indent=0) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#0cdbcf8585409596b9deabed98ce19a1">Register</a> () const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#1d681b7e17fc204ad22b84d1e924784e">RemoveAllObservers</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#d35bf2647e1d1c1dc34289d5aeb1d041">RemoveObserver</a> (unsigned long tag)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#8f72aa7f091bb0c66eaa86e194cb0a9e">Rotate2D</a> (TScalarType angle, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#c27f9eeee782358406492ba66bbc3f46">Rotate3D</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;axis, TScalarType angle, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#0b7aabc3944effad59f0f048d621645d">SetDebug</a> (bool debugFlag) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#bab57111fda06e69309c80fdf6fbee38">SetFixedParameters</a> (const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#ef38e4ab1d84ac3275a6ae8303554f23">SetIdentity</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#7b61a8c36e3ddda0b464c064c4e25eff">SetMetaDataDictionary</a> (const <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a> &amp;rhs)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#bf83241327bf50ec852c186b7ca8d941">SetParameters</a> (const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;parameters)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#3f1b4a6ca8519df7a51626e92e01f2cb">SetParametersByValue</a> (const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;p)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#10988882bd8c63886182f959ce5e0b3b">SetReferenceCount</a> (int)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#5b313b2351cc9a85d78bb831e94d0f25">Shear</a> (int axis1, int axis2, TScalarType coef, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classitk_1_1Point.html">OutputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#8c2f2f4903bbd91cac02e8185ba4ebde">TransformPoint</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#3b862cba99d73560913338d8014f65f3">TransformVector</a> (const <a class="el" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a> &amp;) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#f14e858f41019322446c1c91add2c145">TransformVector</a> (const <a class="el" href="classitk_1_1Vector.html">InputVectorType</a> &amp;) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#c2de1aeeaa5bfa49b5e84e6ccadb09be">Translate</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#eb964c23f5ea55c3896efdc645524e55">UnRegister</a> () const </td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">unsigned long&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#0e2fb8814089882b9c8d9174b5ca74ea">AddObserver</a> (const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;event, <a class="el" href="classitk_1_1Command.html">Command</a> *) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">unsigned long&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#23703e82fa4a979fd512528f471606a0">AddObserver</a> (const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;event, <a class="el" href="classitk_1_1Command.html">Command</a> *)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1CovariantVector.html">InputCovariantVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#0a3f22ea5ab03d54010d02da9c1cc6b0">BackTransform</a> (const <a class="el" href="classitk_1_1CovariantVector.html">OutputCovariantVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#7970a9942408c0cc927413bde3b0d913">BackTransform</a> (const <a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Vector.html">InputVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#16e9d35b24b32f7983f13688b0f5b0a7">BackTransform</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Point.html">InputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a> (const <a class="el" href="classitk_1_1Point.html">OutputPointType</a> &amp;point) const </td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#dea5d39670b3686c377fdac9980a3dca">GetInverse</a> (<a class="el" href="classitk_1_1AffineTransform.html">Self</a> *inverse) const</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual const <a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#0286337a7f783659c3af1756286dc0b2">GetJacobian</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;) const</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#69b55dc6bb6b0769d1f317375ca853be">itkStaticConstMacro</a> (ParametersDimension, unsigned int, NOutputDimensions *(NInputDimensions+1))</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#7f4578cbee254fa55b81180832689a04">itkStaticConstMacro</a> (OutputSpaceDimension, unsigned int, NOutputDimensions)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#bb7432b9fa9ab65ef0982f60ccae9213">itkStaticConstMacro</a> (InputSpaceDimension, unsigned int, NInputDimensions)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#eaedcd5a9fb13c86b0bfa2b5869a3b74">itkStaticConstMacro</a> (ParametersDimension, unsigned int, NDimensions *(NDimensions+1))</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#cc5b9e64ec9d621a7cc1b9c04b9f29b5">itkStaticConstMacro</a> (SpaceDimension, unsigned int, NDimensions)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#6e5828d1a62851256c3cdff5636e0503">itkStaticConstMacro</a> (OutputSpaceDimension, unsigned int, NDimensions)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#1cc3c44cfc2774fc6efaa32557b563bc">itkStaticConstMacro</a> (InputSpaceDimension, unsigned int, NDimensions)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#30b24a0ddaa653cbf7c89e4bbe6269b4">Rotate</a> (int axis1, int axis2, TScalarType angle, bool pre=0)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#3f48e7351eb73c02997219589c2ba5fd">Scale</a> (const TScalarType &amp;factor, bool pre=0)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#411e526a8f75ca023a5c95360568b69b">Scale</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;factor, bool pre=0)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#66847494b74e20583dc4f1041e66594a">SetCenter</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;center)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#a0adea27a287803d6d724fc379e106cc">SetMatrix</a> (const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;matrix)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#8e892b459a3b03f08d5b1e0c3a1e7c3a">SetOffset</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#467b1458a97955a5c10808ffb05bfe86">SetTranslation</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;translation)</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1CovariantVector.html">OutputCovariantVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#8f95797f252c776d68e869bc9b061cc3">TransformCovariantVector</a> (const <a class="el" href="classitk_1_1CovariantVector.html">InputCovariantVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Point.html">OutputPointType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#78920a11555532db4290756371975642">TransformPoint</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;point) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#0d3e90a7ca53cd1c11ae3b8de36021ce">TransformVector</a> (const <a class="el" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Vector.html">OutputVectorType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9bf4c311261aec387212102ceb100e94">TransformVector</a> (const <a class="el" href="classitk_1_1Vector.html">InputVectorType</a> &amp;<a class="el" href="classstd_1_1vector.html">vector</a>) const</td></tr>

<tr><td colspan="2"><br><h2>Static Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">static void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#d2017ee10bba6dc34ab9b3062ee573ca">BreakOnError</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">static <a class="el" href="classitk_1_1SmartPointer.html">Pointer</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#addcedf295181fbdd4893c4a51896aa8">New</a> ()</td></tr>

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<tr><td class="memItemLeft" nowrap align="right" valign="top">static bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#722122bd785f53294ff40b828d5ffa4d">GetGlobalWarningDisplay</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">static void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#3a5c8091d9c41acbea2bb083f141b028">GlobalWarningDisplayOff</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">static void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#81e0ce09465f2c7e243bb5f68b850ff3">GlobalWarningDisplayOn</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">static void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#d8741136cb37a25e64c62ebf91794d4a">SetGlobalWarningDisplay</a> (bool flag)</td></tr>

<tr><td colspan="2"><br><h2>Protected Types</h2></td></tr>
<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">typedef int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#dc057b9bc15dba2d9b7b8bd4fa0f6774">InternalReferenceCountType</a></td></tr>

<tr><td colspan="2"><br><h2>Protected Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9e90eb56ea92a8d2e9e23a56e4ee2c20">ComputeMatrix</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#bf3080864eb9ae38eff5367ec9e87d89">ComputeMatrixParameters</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#d3047758e091e82923e01dbf95a0dceb">ComputeOffset</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#8bf727428cda62ca6e4e16b55c1ddb2e">ComputeTranslation</a> (void)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#7d1ab613aa8004a0e05b8b13fba622c4">GetVarInverseMatrix</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#84d3b820cc05355dae25087b37c6361f">InverseMatrixIsOld</a> (void) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Object.html#86e41d394947d09fa11d2bd1aa4a0823">PrintObservers</a> (std::ostream &amp;os, <a class="el" href="classitk_1_1Indent.html">Indent</a> indent) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#ec02672ebc5ee82ba29a2a3b223fc5fa">PrintSelf</a> (std::ostream &amp;s, <a class="el" href="classitk_1_1Indent.html">Indent</a> indent) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#ea5177c72d616dcd490fa3cde3e545d2">SetVarCenter</a> (const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;center)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3460cd252102a51ae2837ec0553b113d">SetVarInverseMatrix</a> (const <a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a> &amp;matrix) const</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#de89e34fbebede6a64a6c560c7ec1cd0">SetVarMatrix</a> (const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;matrix)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#b3ec3c822001532331c10c3b3a2c573a">SetVarOffset</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#668dbdb54e82d00ff6fc14a0e2a80a92">SetVarTranslation</a> (const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;translation)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#8f21a843e6cefc1371f7b2ebb3fb915f">~AffineTransform</a> ()</td></tr>

<tr><td colspan="2"><div class="groupHeader"></div></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#36ed041b456c5f423866b9b0668185bd">AffineTransform</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#f6342f54d8de8c4168094d5a509daaec">AffineTransform</a> (unsigned int outputDims, unsigned int paramDims)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1AffineTransform.html#c6e72346adfaddbf19c437fae4895b65">AffineTransform</a> (const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;matrix, const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset)</td></tr>

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<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#2c28e4194498d84fc4cf04f52627ebfc">PrintHeader</a> (std::ostream &amp;os, <a class="el" href="classitk_1_1Indent.html">Indent</a> indent) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#53f01227f6e1d236af409a9f90948734">PrintTrailer</a> (std::ostream &amp;os, <a class="el" href="classitk_1_1Indent.html">Indent</a> indent) const </td></tr>

<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Array.html">ParametersType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#b2231680ac1507836ba03344f50937c8">m_FixedParameters</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#40adf0b02b898fd5760b60a0eef1498e">m_Jacobian</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1Array.html">ParametersType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1Transform.html#d6434ebf1b47b56a82cd662f244f9c18">m_Parameters</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1LightObject.html#dc057b9bc15dba2d9b7b8bd4fa0f6774">InternalReferenceCountType</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#499dbc304e9a6b929a4f339308788456">m_ReferenceCount</a></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitk_1_1SimpleFastMutexLock.html">SimpleFastMutexLock</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LightObject.html#b44ec95ff62bd5ea0315f7546ecac368">m_ReferenceCountLock</a></td></tr>

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<hr><a name="_details"></a><h2>Detailed Description</h2>
<h3>template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt;<br>
 class itk::AffineTransform&lt; TScalarType, NDimensions &gt;</h3>

Affine transformation of a vector space (e.g. space coordinates)<p>
This class allows the definition and manipulation of affine transformations of an n-dimensional affine space (and its associated vector space) onto itself. One common use is to define and manipulate Euclidean coordinate transformations in two and three dimensions, but other uses are possible as well.<p>
An affine transformation is defined mathematically as a linear transformation plus a constant offset. If <a class="el" href="classA.html">A</a> is a constant n x n matrix and b is a constant n-vector, then y = Ax+b defines an affine transformation from the n-vector x to the n-vector y.<p>
The difference between two points is a vector and transforms linearly, using the matrix only. That is, (y1-y2) = A*(x1-x2).<p>
The <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> class determines whether to transform an object as a point or a vector by examining its type. An object of type <a class="el" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">Point</a> transforms as a point; an object of type <a class="el" href="classitk_1_1Vector.html" title="A templated class holding a n-Dimensional vector.">Vector</a> transforms as a vector.<p>
One common use of affine transformations is to define coordinate conversions in two- and three-dimensional space. In this application, x is a two- or three-dimensional vector containing the "source" coordinates of a point, y is a vector containing the "target" coordinates, the matrix <a class="el" href="classA.html">A</a> defines the scaling and rotation of the coordinate systems from the source to the target, and b defines the translation of the origin from the source to the target. More generally, <a class="el" href="classA.html">A</a> can also define anisotropic scaling and shearing transformations. Any good textbook on computer graphics will discuss coordinate transformations in more detail. Several of the methods in this class are designed for this purpose and use the language appropriate to coordinate conversions.<p>
Any two affine transformations may be composed and the result is another affine transformation. However, the order is important. Given two affine transformations T1 and T2, we will say that "precomposing T1 with T2" yields the transformation which applies T1 to the source, and then applies T2 to that result to obtain the target. Conversely, we will say that "postcomposing T1 with T2" yields the transformation which applies T2 to the source, and then applies T1 to that result to obtain the target. (Whether T1 or T2 comes first lexicographically depends on whether you choose to write mappings from right-to-left or vice versa; we avoid the whole problem by referring to the order of application rather than the textual order.)<p>
There are two template parameters for this class:<p>
ScalarT The type to be used for scalar numeric values. Either float or double.<p>
NDimensions The number of dimensions of the vector space.<p>
This class provides several methods for setting the matrix and vector defining the transform. To support the registration framework, the transform parameters can also be set as an <a class="el" href="classitk_1_1Array.html">Array&lt;double&gt;</a> of size (NDimension + 1) * NDimension using method <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#bf83241327bf50ec852c186b7ca8d941">SetParameters()</a>. The first (NDimension x NDimension) parameters defines the matrix in column-major order (where the column index) varies the fastest). The last NDimension parameters defines the translation in each dimensions.<p>
This class also supports the specification of a center of rotation (center) and a translation that is applied with respect to that centered rotation. By default the center of rotation is set to the origin. 
<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00109">109</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>
<hr><h2>Member Typedef Documentation</h2>
<a class="anchor" name="4d914ac7f6668b988bba2dd1b6201163"></a><!-- doxytag: member="itk::AffineTransform::CenterType" ref="4d914ac7f6668b988bba2dd1b6201163" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Point.html">Superclass::CenterType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Point.html">CenterType</a>          </td>
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#aff6f95698049eab98a8e033966d8b35">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#e0fa4c602fb8c0a031c68ec42750ca30">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#4738efcc565dd8850e7cadd45631ee36">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00152">152</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="9eeef8c9c33d60883c97932c133e2ca2"></a><!-- doxytag: member="itk::AffineTransform::ConstPointer" ref="9eeef8c9c33d60883c97932c133e2ca2" args="" -->
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          <td class="memname">typedef <a class="el" href="classitk_1_1SmartPointer.html">SmartPointer</a>&lt;const <a class="el" href="classitk_1_1AffineTransform.html">Self</a>&gt; <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1SmartPointer.html">ConstPointer</a>          </td>
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#8ed3b9971f776cf1b1a8cc75c962b835">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#8914cfe0e9e2e39e14d5605378ba0a18">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#8515a870d4b306050e1879f5d8120386">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#f9171de45e3aada2827f02033a52c46e">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#8da7bc88e2116cbc621d50d39cf32039">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00119">119</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="b0c316d2b578651be0d883cbb05403e3"></a><!-- doxytag: member="itk::AffineTransform::InputCovariantVectorType" ref="b0c316d2b578651be0d883cbb05403e3" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1CovariantVector.html">Superclass::InputCovariantVectorType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1CovariantVector.html">InputCovariantVectorType</a>          </td>
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Standard covariant vector type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#228c20f921e6e5abf6ab8bf3133a16ea">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#0acfa0e4a3ca79b4d65f13608e857968">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#e5951177a7e1c58db77eefc3f4380a6f">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#5ac786989583913bc6979e69ccd9a5cd">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00147">147</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="378d3f44813d2d3a591a564bbacb5697"></a><!-- doxytag: member="itk::AffineTransform::InputPointType" ref="378d3f44813d2d3a591a564bbacb5697" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Point.html">Superclass::InputPointType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Point.html">InputPointType</a>          </td>
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Standard coordinate point type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#036342ec4959a2d01a30526f1f2a461a">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#16b1835cdc7aea80ce35df640168e787">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#dccde7080274ebf47bace3f6f347913b">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#3d13cb3532837307805f112f2278f479">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#9ad9144cea23803d37cb5f548291d8ab">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00140">140</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="8edb409d76a9abce279eda2bec498539"></a><!-- doxytag: member="itk::AffineTransform::InputVectorType" ref="8edb409d76a9abce279eda2bec498539" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::InputVectorType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Vector.html">InputVectorType</a>          </td>
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Standard vector type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#504251843664800e6dd12d7f0b3ab419">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#92e7f8830248a943d409cebb1e1383f6">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#0ebe7151e80dd2d868f1091068a6cd6c">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#241cfc8c5158f805a2e8dab7ecdad409">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00142">142</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="716c9e03a15d7c913de9035ee4d1528c"></a><!-- doxytag: member="itk::AffineTransform::InputVnlVectorType" ref="716c9e03a15d7c913de9035ee4d1528c" args="" -->
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          <td class="memname">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#b702d697470ff52439290fa74340df57">Superclass::InputVnlVectorType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a>          </td>
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<p>
Standard <a class="el" href="classvnl__vector.html">vnl_vector</a> type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#b702d697470ff52439290fa74340df57">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#7c12c5f3d68cbd12f48fc00213e345a8">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#861010fb7a3d84d58e590e570549a607">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#abdd621a70d86edb4575f8fe9ee42d8a">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00144">144</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="dc057b9bc15dba2d9b7b8bd4fa0f6774"></a><!-- doxytag: member="itk::AffineTransform::InternalReferenceCountType" ref="dc057b9bc15dba2d9b7b8bd4fa0f6774" args="" -->
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          <td class="memname">typedef int <a class="el" href="classitk_1_1LightObject.html#dc057b9bc15dba2d9b7b8bd4fa0f6774">itk::LightObject::InternalReferenceCountType</a><code> [protected, inherited]</code>          </td>
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Define the type of the reference count according to the target. This allows the use of atomic operations 
<p>Definition at line <a class="el" href="itkLightObject_8h_source.html#l00139">139</a> of file <a class="el" href="itkLightObject_8h_source.html">itkLightObject.h</a>.</p>

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<a class="anchor" name="2038510d1e843f7643a35ffe79aaf3f1"></a><!-- doxytag: member="itk::AffineTransform::InverseMatrixType" ref="2038510d1e843f7643a35ffe79aaf3f1" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Matrix.html">Superclass::InverseMatrixType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a>          </td>
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<p>
Standard inverse matrix type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#c2130be0bff99d7b35457e4a45e3069a">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#cf82e833ae37f7628a79e7eb81eb10b2">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#25c0380fce942bcd40ee0ddf19b58f0d">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00151">151</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="8e52b56f8519812af7dc452fedc58029"></a><!-- doxytag: member="itk::AffineTransform::JacobianType" ref="8e52b56f8519812af7dc452fedc58029" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9fb2ca287b41ee9535727cef4a591359">Superclass::JacobianType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a>          </td>
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Jacobian Type 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9fb2ca287b41ee9535727cef4a591359">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#bd0ec03f4e849e1a5944d8f7412761f5">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#58ff9d29c8fcece6d1e0f8fff6947589">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#f145523369632fcb03a2d460dfa01f2e">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#148b87fa9b316e5dad7e8942b14f7912">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00138">138</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="7543c5eece332e1dad63383d3c4fbb4f"></a><!-- doxytag: member="itk::AffineTransform::MatrixType" ref="7543c5eece332e1dad63383d3c4fbb4f" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Matrix.html">Superclass::MatrixType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Matrix.html">MatrixType</a>          </td>
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<p>
Standard matrix type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#0682c35922833bf878471c0d2d4c3b86">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#f9b9c058e69ae2276046524dd41f02b1">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#66cfeac7ba5714ac5392f1296ed0919d">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#0b3271a9eddaaefce08f90c6887f892c">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#b43f4dbc84726c2b1bfbab3067173cad">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00150">150</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="3e7b98307ae10441a548e68d4753a3a0"></a><!-- doxytag: member="itk::AffineTransform::OffsetType" ref="3e7b98307ae10441a548e68d4753a3a0" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::OffsetType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Vector.html">OffsetType</a>          </td>
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#fe2f1d4bf2520b3fb9e8bbb1870a0096">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#4ed95456dbbad4989d5e78b1101752c9">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#c685bd5b9cab0391b4221f5c3d5c5115">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#4fd3a788e2f0c8dd0d5b8a69bf7a77c3">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00153">153</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="71a411da439eb6d05651a163ad31c8b2"></a><!-- doxytag: member="itk::AffineTransform::OutputCovariantVectorType" ref="71a411da439eb6d05651a163ad31c8b2" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1CovariantVector.html">Superclass::OutputCovariantVectorType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1CovariantVector.html">OutputCovariantVectorType</a>          </td>
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Standard covariant vector type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#9a9331c1f3782d4c26ef6b2f994915b7">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#23681b37b1a65b32f1dbe25a2e9ffb43">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#a3cfe9bcc86923acc93a9dc47e3f571c">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#cb6a329ce6b8f64e52769df03916d273">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00149">149</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="774668199574642f36b6101c8a95e738"></a><!-- doxytag: member="itk::AffineTransform::OutputPointType" ref="774668199574642f36b6101c8a95e738" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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Standard coordinate point type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#d577d445ff8dce2083ba2d7bb6cbbbe3">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#3ab928db19a9019456147ca0cb6db82c">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#1e421f978d6dd70da827811d16e681f3">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#a74f79335f8c5f2e6c96005235e2fb11">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#42e7721ca044dc710f4b0c9ab67e4b7d">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00141">141</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="33cad0d368c406d850f5f16869697860"></a><!-- doxytag: member="itk::AffineTransform::OutputVectorType" ref="33cad0d368c406d850f5f16869697860" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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Standard vector type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#da03f7f44e69fb08b09c5f43c5005cdc">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#c10f54b0ee9dbcd53efd7197e521f6de">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#547f696ae18c40eb37b6cdeda1210d99">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#d46251d971e1b31342a21f7f4d9f3942">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00143">143</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="3a1ce9a7508236a09897736f10e92eb3"></a><!-- doxytag: member="itk::AffineTransform::OutputVnlVectorType" ref="3a1ce9a7508236a09897736f10e92eb3" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3834e12b5eba107f009c1b9dd9b183dd">Superclass::OutputVnlVectorType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a>          </td>
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Standard <a class="el" href="classvnl__vector.html">vnl_vector</a> type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3834e12b5eba107f009c1b9dd9b183dd">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#4098fd75cc6dc6c924e4c20562a03310">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#c22c55e40652ef867f5e1c55d3f88910">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#4dd3f5a56e288fdd820dcfb24b33a462">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00145">145</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="80b08a56e6d6e2cc2623e5ac284a7635"></a><!-- doxytag: member="itk::AffineTransform::ParametersType" ref="80b08a56e6d6e2cc2623e5ac284a7635" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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Parameters Type 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#1f9190ea07a38579df2a451a47d171e3">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#eaff52fd0d8ca35174725207c5eda3e2">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#dc05a696b703fd2da7e95539e7ee3482">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#24144a6aaf8b66f045d6310892efc915">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#22c0ff4a83d2937009b5fd2463668af3">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00137">137</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="e75982638011c846c2a3c001ffcb5dd3"></a><!-- doxytag: member="itk::AffineTransform::Pointer" ref="e75982638011c846c2a3c001ffcb5dd3" args="" -->
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#918f1c95041478a06842af9fdbdb0d48">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#e3d687ec194117f85e8dd278fe150e7a">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#f833f143c28f95f34c022882dc76358a">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#8b45c48ba071ffee6473698dabd7a9ce">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#1e4e9b23df5b0a82658ab1384dae872b">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00118">118</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="5d603a601edad41d062713dbe7d15af0"></a><!-- doxytag: member="itk::AffineTransform::ScalarType" ref="5d603a601edad41d062713dbe7d15af0" args="" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#48ea486858b11578c573ed2ae5049a02">Superclass::ScalarType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a>          </td>
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Standard scalar type for this class 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#48ea486858b11578c573ed2ae5049a02">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#54c8b01ccb468c9a79c9eecd4c7b6d63">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#59d8ba8e6528d89e03eabf59e84eb966">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#152b34a3f821375b084e81b245242817">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#83a55aecc533bad6c7ce30db09bc81df">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00139">139</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="448071ad4ed2232dd9ce64b984f746d8"></a><!-- doxytag: member="itk::AffineTransform::Self" ref="448071ad4ed2232dd9ce64b984f746d8" args="" -->
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          <td class="memname">typedef <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html">Self</a>          </td>
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Standard typedefs 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#ef51e370654bc2a8b4b0051a6757f9d0">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#e898643d6a28f2065ee8f9a214cf2077">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#cff832727b92400157a174cf9bbeb616">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#2509476b55fed65c725d56bbb6dd4d1d">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#3a1043d4f51e490c41f6bd33a838306b">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00114">114</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="b38eb704f77cd8c0df2030e0d50c37fd"></a><!-- doxytag: member="itk::AffineTransform::Superclass" ref="b38eb704f77cd8c0df2030e0d50c37fd" args="" -->
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          <td class="memname">typedef <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">MatrixOffsetTransformBase</a>&lt; TScalarType, NDimensions, NDimensions &gt; <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">Superclass</a>          </td>
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#3ce2fb8921c3c51d0b82a9d5ac12386f">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#fef11a1981c98e3e73291d6264a52e85">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#e9003c4176235c1a8b931bbb3c567cce">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#c44a499092d8de5abe1b9e117fe54cc7">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#e7dcd4edfe63a0bc5cea99f59c931043">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00117">117</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<a class="anchor" name="da4996f0bc5ce7ced65cd04864d04920"></a><!-- doxytag: member="itk::AffineTransform::TranslationType" ref="da4996f0bc5ce7ced65cd04864d04920" args="" -->
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          <td class="memname">typedef <a class="el" href="classitk_1_1Vector.html">Superclass::TranslationType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Vector.html">TranslationType</a>          </td>
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<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#55045cdc1c850422404649b363e859e0">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#a1533e7024f939c33cddf32a584e2f8a">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#a2d58942b4e05f37da0525139c82d8e1">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00154">154</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

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<hr><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" name="c6e72346adfaddbf19c437fae4895b65"></a><!-- doxytag: member="itk::AffineTransform::AffineTransform" ref="c6e72346adfaddbf19c437fae4895b65" args="(const MatrixType &amp;matrix, const OutputVectorType &amp;offset)" -->
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          <td class="memname"><a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a>           </td>
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Construct an <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object<p>
This method constructs a new <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object and initializes the matrix and offset parts of the transformation to values specified by the caller. If the arguments are omitted, then the <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> is initialized to an identity transformation in the appropriate number of dimensions. 
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Construct an <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object<p>
This method constructs a new <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object and initializes the matrix and offset parts of the transformation to values specified by the caller. If the arguments are omitted, then the <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> is initialized to an identity transformation in the appropriate number of dimensions. 
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<a class="anchor" name="36ed041b456c5f423866b9b0668185bd"></a><!-- doxytag: member="itk::AffineTransform::AffineTransform" ref="36ed041b456c5f423866b9b0668185bd" args="()" -->
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Construct an <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object<p>
This method constructs a new <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object and initializes the matrix and offset parts of the transformation to values specified by the caller. If the arguments are omitted, then the <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> is initialized to an identity transformation in the appropriate number of dimensions. 
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<a class="anchor" name="8f21a843e6cefc1371f7b2ebb3fb915f"></a><!-- doxytag: member="itk::AffineTransform::~AffineTransform" ref="8f21a843e6cefc1371f7b2ebb3fb915f" args="()" -->
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Destroy an <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> object 
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<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="0e2fb8814089882b9c8d9174b5ca74ea"></a><!-- doxytag: member="itk::AffineTransform::AddObserver" ref="0e2fb8814089882b9c8d9174b5ca74ea" args="(const EventObject &amp;event, Command *) const " -->
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Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">itk::Command</a> to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">Command</a> becomes the responsibility of this object, so don't pass the same instance of a command to two different objects 
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<a class="anchor" name="23703e82fa4a979fd512528f471606a0"></a><!-- doxytag: member="itk::AffineTransform::AddObserver" ref="23703e82fa4a979fd512528f471606a0" args="(const EventObject &amp;event, Command *)" -->
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Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">itk::Command</a> to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">Command</a> becomes the responsibility of this object, so don't pass the same instance of a command to two different objects 
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<a class="anchor" name="0a3f22ea5ab03d54010d02da9c1cc6b0"></a><!-- doxytag: member="itk::AffineTransform::BackTransform" ref="0a3f22ea5ab03d54010d02da9c1cc6b0" args="(const OutputCovariantVectorType &amp;vector) const " -->
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Back <a class="el" href="classitk_1_1Transform.html" title="Transform points and vector from an input space to an output space.">Transform</a> a <a class="el" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">CovariantVector</a> 
<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00348">348</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

<p>References <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00194">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;::GetMatrix()</a>, and <a class="el" href="itkMacro_8h_source.html#l00531">itkWarningMacro</a>.</p>

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<a class="anchor" name="7970a9942408c0cc927413bde3b0d913"></a><!-- doxytag: member="itk::AffineTransform::BackTransform" ref="7970a9942408c0cc927413bde3b0d913" args="(const OutputVnlVectorType &amp;vector) const " -->
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Back transform a <a class="el" href="classvnl__vector.html">vnl_vector</a> 
<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00333">333</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

<p>References <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;::GetInverseMatrix()</a>, and <a class="el" href="itkMacro_8h_source.html#l00531">itkWarningMacro</a>.</p>

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Back transform a vector 
<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00318">318</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

<p>References <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;::GetInverseMatrix()</a>, and <a class="el" href="itkMacro_8h_source.html#l00531">itkWarningMacro</a>.</p>

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<a class="anchor" name="67f40c2940fac7739d2905461b8f8c17"></a><!-- doxytag: member="itk::AffineTransform::BackTransform" ref="67f40c2940fac7739d2905461b8f8c17" args="(const OutputPointType &amp;point) const " -->
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template&lt;class TScalarType , unsigned int NDimensions&gt; </div>
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          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">OutputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>point</em>          </td>
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Back transform by an affine transformation<p>
This method finds the point or vector that maps to a given point or vector under the affine transformation defined by self. If no such point exists, an exception is thrown.<p>
<dl class="deprecated" compact><dt><b><a class="el" href="deprecated.html#_deprecated000011">Deprecated:</a></b></dt><dd>Please use GetInverseTransform and then call the forward transform function </dd></dl>
<p>
Back transform a point 
<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#24075014bfafcb7c46dbf6d6bc630555">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00383">383</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

<p>References <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;::GetInverseMatrix()</a>, <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00217">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;::GetOffset()</a>, and <a class="el" href="itkMacro_8h_source.html#l00531">itkWarningMacro</a>.</p>

<p>Referenced by <a class="el" href="itkAffineTransform_8h_source.html#l00373">itk::AffineTransform&lt; TScalarType, NDimensions &gt;::BackTransformPoint()</a>.</p>

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<a class="anchor" name="c0ac88749969c3b89cf1e84bf52c9061"></a><!-- doxytag: member="itk::AffineTransform::BackTransformPoint" ref="c0ac88749969c3b89cf1e84bf52c9061" args="(const OutputPointType &amp;point) const " -->
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template&lt;class TScalarType , unsigned int NDimensions&gt; </div>
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          <td class="memname"><a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a>&lt; TScalarType, NDimensions &gt;::<a class="el" href="classitk_1_1Point.html">InputPointType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::BackTransformPoint           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">OutputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>point</em>          </td>
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          <td> const<code> [inline]</code></td>
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<p>
Back transform a point by an affine transform<p>
This method finds the point that maps to a given point under the affine transformation defined by self. If no such point exists, an exception is thrown. The returned value is (a pointer to) a brand new point created with new.<p>
<dl class="deprecated" compact><dt><b><a class="el" href="deprecated.html#_deprecated000012">Deprecated:</a></b></dt><dd>Please use GetInverseTransform and then call the forward transform function </dd></dl>
<p>
Back transform a given point which is represented as type PointType 
<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#9b8770cda3c767b891e615809e040708">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkAffineTransform_8h_source.html#l00373">373</a> of file <a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a>.</p>

<p>References <a class="el" href="itkAffineTransform_8h_source.html#l00383">itk::AffineTransform&lt; TScalarType, NDimensions &gt;::BackTransform()</a>.</p>

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<a class="anchor" name="d2017ee10bba6dc34ab9b3062ee573ca"></a><!-- doxytag: member="itk::AffineTransform::BreakOnError" ref="d2017ee10bba6dc34ab9b3062ee573ca" args="()" -->
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This method is called when itkExceptionMacro executes. It allows the debugger to break on error. 
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<a class="anchor" name="3844f3618ebdcd3dfe9206775b70607e"></a><!-- doxytag: member="itk::AffineTransform::Compose" ref="3844f3618ebdcd3dfe9206775b70607e" args="(const Self *other, bool pre=0)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::Compose           </td>
          <td>(</td>
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          <td class="paramkey"></td>
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<p>
Compose with another MatrixOffsetTransformBase<p>
This method composes self with another MatrixOffsetTransformBase of the same dimension, modifying self to be the composition of self and other. If the argument pre is true, then other is precomposed with self; that is, the resulting transformation consists of first applying other to the source, followed by self. If pre is false or omitted, then other is post-composed with self; that is the resulting transformation consists of first applying self to the source, followed by other. This updates the Translation based on current center. 
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<a class="anchor" name="9e90eb56ea92a8d2e9e23a56e4ee2c20"></a><!-- doxytag: member="itk::AffineTransform::ComputeMatrix" ref="9e90eb56ea92a8d2e9e23a56e4ee2c20" args="(void)" -->
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          <td>(</td>
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<p>

<p>Reimplemented in <a class="el" href="classitk_1_1ScalableAffineTransform.html#b412410b5befa775e18c7f91dda55054">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="bf3080864eb9ae38eff5367ec9e87d89"></a><!-- doxytag: member="itk::AffineTransform::ComputeMatrixParameters" ref="bf3080864eb9ae38eff5367ec9e87d89" args="(void)" -->
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          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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<a class="anchor" name="d3047758e091e82923e01dbf95a0dceb"></a><!-- doxytag: member="itk::AffineTransform::ComputeOffset" ref="d3047758e091e82923e01dbf95a0dceb" args="(void)" -->
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          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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          <td><code> [protected, virtual, inherited]</code></td>
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<p>

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<a class="anchor" name="8bf727428cda62ca6e4e16b55c1ddb2e"></a><!-- doxytag: member="itk::AffineTransform::ComputeTranslation" ref="8bf727428cda62ca6e4e16b55c1ddb2e" args="(void)" -->
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          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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<a class="anchor" name="c36c03b81115c9a089bc46cdba22e1b6"></a><!-- doxytag: member="itk::AffineTransform::CreateAnother" ref="c36c03b81115c9a089bc46cdba22e1b6" args="() const " -->
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Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class. 
<p>Reimplemented from <a class="el" href="classitk_1_1LightObject.html#ba533bbb63dd6398670049336b004555">itk::LightObject</a>.</p>

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<a class="anchor" name="bc251c28f17728a618d8b2a55e6e66d8"></a><!-- doxytag: member="itk::AffineTransform::DebugOff" ref="bc251c28f17728a618d8b2a55e6e66d8" args="() const " -->
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Turn debugging output off. 
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<a class="anchor" name="de27d01f85f71723bcbb3ec54f630b31"></a><!-- doxytag: member="itk::AffineTransform::DebugOn" ref="de27d01f85f71723bcbb3ec54f630b31" args="() const " -->
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Turn debugging output on. 
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<a class="anchor" name="17444d38d6f52e9e3bdf080dfffbe803"></a><!-- doxytag: member="itk::AffineTransform::Delete" ref="17444d38d6f52e9e3bdf080dfffbe803" args="()" -->
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Delete an <a class="el" href="namespaceitk.html" title="Hashtable class, used to implement the hashed associative containers itk_hash_set...">itk</a> object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting. 
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<a class="anchor" name="dbafaf9635750c1b0e204c52deb1de46"></a><!-- doxytag: member="itk::AffineTransform::GetCenter" ref="dbafaf9635750c1b0e204c52deb1de46" args="() const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1Point.html">InputPointType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetCenter           </td>
          <td>(</td>
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Get center of rotation of the MatrixOffsetTransformBase<p>
This method returns the point used as the fixed center of rotation for the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00255">255</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="031c14d32abf5310bb2d0293216fc20b"></a><!-- doxytag: member="itk::AffineTransform::GetCommand" ref="031c14d32abf5310bb2d0293216fc20b" args="(unsigned long tag)" -->
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Get the command associated with the given tag. NOTE: This returns a pointer to a <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">Command</a>, but it is safe to asign this to a <a class="el" href="classitk_1_1Command.html#fd9f53bfc5e3295cb80e282abe687318">Command::Pointer</a>. Since <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">Command</a> inherits from <a class="el" href="classitk_1_1LightObject.html" title="Light weight base class for most itk classes.">LightObject</a>, at this point in the code, only a pointer or a reference to the <a class="el" href="classitk_1_1Command.html" title="superclass for callback/observer methods">Command</a> can be used. 
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<a class="anchor" name="cf1456e40e57a23d7e7f051ca2e102cf"></a><!-- doxytag: member="itk::AffineTransform::GetDebug" ref="cf1456e40e57a23d7e7f051ca2e102cf" args="() const " -->
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Get the value of the debug flag. 
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<a class="anchor" name="9cb1e05084038cf0a98cd986d3929cc8"></a><!-- doxytag: member="itk::AffineTransform::GetFixedParameters" ref="9cb1e05084038cf0a98cd986d3929cc8" args="(void) const" -->
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Get the Fixed Parameters. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#fdcac9389c681c839b1fc58a9dc8410c">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="722122bd785f53294ff40b828d5ffa4d"></a><!-- doxytag: member="itk::AffineTransform::GetGlobalWarningDisplay" ref="722122bd785f53294ff40b828d5ffa4d" args="()" -->
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This is a global flag that controls whether any debug, warning or error messages are displayed. 
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<a class="anchor" name="ace5dcf3d1887f2dacf126a28fdf3ecb"></a><!-- doxytag: member="itk::AffineTransform::GetInputSpaceDimension" ref="ace5dcf3d1887f2dacf126a28fdf3ecb" args="(void) const" -->
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Get the size of the input space 
<p>Implements <a class="el" href="classitk_1_1TransformBase.html#6bc5e89f7ca94f7aa84e740406c8261f">itk::TransformBase</a>.</p>

<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00087">87</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="dea5d39670b3686c377fdac9980a3dca"></a><!-- doxytag: member="itk::AffineTransform::GetInverse" ref="dea5d39670b3686c377fdac9980a3dca" args="(Self *inverse) const" -->
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          <td>(</td>
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Create inverse of an affine transformation<p>
This populates the parameters an affine transform such that the transform is the inverse of self. If self is not invertible, an exception is thrown. Note that by default the inverese transform is centered at the origin. If you need to compute the inverse centered at a point, p,<p>
<div class="fragment"><pre class="fragment"> transform2-&gt;SetCenter( p );
 transform1-&gt;GetInverse( transform2 );
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transform2 will now contain the inverse of transform1 and will with its center set to p. Flipping the two statements will produce an incorrect transform. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#40c2a73266ebaa3d35eaa8b0ce621529">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="a27a65671af6ff20929ba5ac5c9773cd"></a><!-- doxytag: member="itk::AffineTransform::GetInverseMatrix" ref="a27a65671af6ff20929ba5ac5c9773cd" args="(void) const" -->
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          <td>(</td>
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<dl class="deprecated" compact><dt><b><a class="el" href="deprecated.html#_deprecated000037">Deprecated:</a></b></dt><dd>Use GetInverse instead.</dd></dl>
Method will eventually be made a protected member function 
<p>Referenced by <a class="el" href="itkAffineTransform_8h_source.html#l00318">itk::AffineTransform&lt; TScalarType, NDimensions &gt;::BackTransform()</a>.</p>

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<a class="anchor" name="0286337a7f783659c3af1756286dc0b2"></a><!-- doxytag: member="itk::AffineTransform::GetJacobian" ref="0286337a7f783659c3af1756286dc0b2" args="(const InputPointType &amp;) const" -->
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          <td class="memname">virtual const <a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a>&amp; <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetJacobian           </td>
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Compute the Jacobian of the transformation<p>
This method computes the Jacobian matrix of the transformation at a given input point. The rank of the Jacobian will also indicate if the transform is invertible at this point.<p>
The Jacobian is be expressed as a matrix of partial derivatives of the output point components with respect to the parameters that defined the transform:<p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ J=\left[ \begin{array}{cccc} \frac{\partial x_{1}}{\partial p_{1}} &amp; \frac{\partial x_{1}}{\partial p_{2}} &amp; \cdots &amp; \frac{\partial x_{1}}{\partial p_{m}}\\ \frac{\partial x_{2}}{\partial p_{1}} &amp; \frac{\partial x_{2}}{\partial p_{2}} &amp; \cdots &amp; \frac{\partial x_{2}}{\partial p_{m}}\\ \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\ \frac{\partial x_{n}}{\partial p_{1}} &amp; \frac{\partial x_{n}}{\partial p_{2}} &amp; \cdots &amp; \frac{\partial x_{n}}{\partial p_{m}} \end{array}\right] \]" src="form_180.png">
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<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00205">205</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="1307a0a16d5b7b322b41dabb9d9e63c1"></a><!-- doxytag: member="itk::AffineTransform::GetJacobian" ref="1307a0a16d5b7b322b41dabb9d9e63c1" args="(const InputPointType &amp;point) const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetJacobian           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>point</em>          </td>
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<p>
Compute the Jacobian of the transformation<p>
This method computes the Jacobian matrix of the transformation. given point or vector, returning the transformed point or vector. The rank of the Jacobian will also indicate if the transform is invertible at this point. 
<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#79490d38ac4b9f2681d5e6d9016bb096">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="078ec7913b57c25da7d9054ae87fd553"></a><!-- doxytag: member="itk::AffineTransform::GetMatrix" ref="078ec7913b57c25da7d9054ae87fd553" args="() const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetMatrix           </td>
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Get matrix of an MatrixOffsetTransformBase<p>
This method returns the value of the matrix of the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00194">194</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

<p>Referenced by <a class="el" href="itkAffineTransform_8h_source.html#l00348">itk::AffineTransform&lt; TScalarType, NDimensions &gt;::BackTransform()</a>.</p>

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<a class="anchor" name="ab4e913cbfc535646fc7e33f5b2e897d"></a><!-- doxytag: member="itk::AffineTransform::GetMetaDataDictionary" ref="ab4e913cbfc535646fc7e33f5b2e897d" args="(void) const " -->
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<dl class="return" compact><dt><b>Returns:</b></dt><dd><a class="el" href="classA.html">A</a> constant reference to this objects <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a>. </dd></dl>

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<a class="anchor" name="414d257cfb90dd76c8f6e29a796531b0"></a><!-- doxytag: member="itk::AffineTransform::GetMetaDataDictionary" ref="414d257cfb90dd76c8f6e29a796531b0" args="(void)" -->
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          <td class="memname"><a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a>&amp; itk::Object::GetMetaDataDictionary           </td>
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<dl class="return" compact><dt><b>Returns:</b></dt><dd><a class="el" href="classA.html">A</a> reference to this objects <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a>. </dd></dl>
<dl class="warning" compact><dt><b>Warning:</b></dt><dd>This reference may be changed. </dd></dl>

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<a class="anchor" name="cab7d8d23240dacdbee33e5d1230a23e"></a><!-- doxytag: member="itk::AffineTransform::GetMTime" ref="cab7d8d23240dacdbee33e5d1230a23e" args="() const " -->
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          <td class="memname">virtual unsigned long itk::Object::GetMTime           </td>
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Return this objects modified time. 
<p>Reimplemented in <a class="el" href="classitk_1_1ImageRegistrationMethod.html#0ca1055a633e9526a885c0b92085762a">itk::ImageRegistrationMethod&lt; TFixedImage, TMovingImage &gt;</a>, <a class="el" href="classitk_1_1ImageToSpatialObjectRegistrationMethod.html#ac299f2219dd552f38e3975e1d6c4f04">itk::ImageToSpatialObjectRegistrationMethod&lt; TFixedImage, TMovingSpatialObject &gt;</a>, <a class="el" href="classitk_1_1MultiResolutionImageRegistrationMethod.html#2abfcc8295ab147f201f81b87f2fe131">itk::MultiResolutionImageRegistrationMethod&lt; TFixedImage, TMovingImage &gt;</a>, <a class="el" href="classitk_1_1PointSetToImageRegistrationMethod.html#c7b9cf41d8cc0a9d35bf82d03671e22a">itk::PointSetToImageRegistrationMethod&lt; TFixedPointSet, TMovingImage &gt;</a>, <a class="el" href="classitk_1_1PointSetToPointSetRegistrationMethod.html#2865f9e84b55d26efcebb2d37966f27f">itk::PointSetToPointSetRegistrationMethod&lt; TFixedPointSet, TMovingPointSet &gt;</a>, <a class="el" href="classitk_1_1DeformationFieldSource.html#240df5996ed1f70b11eac0efaa9e05fa">itk::DeformationFieldSource&lt; TOutputImage &gt;</a>, <a class="el" href="classitk_1_1InverseDeformationFieldImageFilter.html#cb958ad76eccc6210f2a8d5f89ebbe52">itk::InverseDeformationFieldImageFilter&lt; TInputImage, TOutputImage &gt;</a>, <a class="el" href="classitk_1_1ResampleImageFilter.html#ad5910eef27070b8bc36e6673bbc7cbf">itk::ResampleImageFilter&lt; TInputImage, TOutputImage, TInterpolatorPrecisionType &gt;</a>, <a class="el" href="classitk_1_1VectorResampleImageFilter.html#e0fcbedd3cdc27806ba275128ecc0571">itk::VectorResampleImageFilter&lt; TInputImage, TOutputImage, TInterpolatorPrecisionType &gt;</a>, <a class="el" href="classitk_1_1BoundingBox.html#0042892683cf7fddace623902db14a31">itk::BoundingBox&lt; TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, TAccessor &gt;</a>, <a class="el" href="classitk_1_1ResampleImageFilter.html#ad5910eef27070b8bc36e6673bbc7cbf">itk::ResampleImageFilter&lt; TInputImage, TOutputImage, TInterpolatorPrecisionType &gt;</a>, <a class="el" href="classitk_1_1TransformToDeformationFieldSource.html#587f9be610da037f241027f2003fc271">itk::TransformToDeformationFieldSource&lt; TOutputImage, TTransformPrecisionType &gt;</a>, <a class="el" href="classitk_1_1ImageSpatialObject.html#59b8cb2b91110a74fa200cd0a9ae07c6">itk::ImageSpatialObject&lt; TDimension, TPixelType &gt;</a>, <a class="el" href="classitk_1_1MeshSpatialObject.html#02b23babf1a13a97378d8d19e0e5714f">itk::MeshSpatialObject&lt; TMesh &gt;</a>, <a class="el" href="classitk_1_1SceneSpatialObject.html#ec28155bc0ca5c8b386066c0b1801e70">itk::SceneSpatialObject&lt; TSpaceDimension &gt;</a>, <a class="el" href="classitk_1_1SpatialObject.html#30e33a9f2b83e6f47a9b2db63b538198">itk::SpatialObject&lt; TDimension &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::LogPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::SqrtPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToModulusPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToImaginaryPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::SinPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::TanPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ExpNegativePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::Log10PixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, PixelAccessor &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::RGBToVectorPixelAccessor&lt; TImage::PixelType::ComponentType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::AcosPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::RGBToLuminancePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToPhasePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; VectorImage&lt; TPixelType, Dimension &gt;, Accessor::VectorImageToImagePixelAccessor&lt; TPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::AddPixelAccessor&lt; TImage::PixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::AbsPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::VectorToRGBPixelAccessor&lt; TImage::PixelType::ValueType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::AsinPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToRealPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::ExpPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::AtanPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#185abdf95c633801f091e915eb7d7298">itk::ImageAdaptor&lt; TImage, Accessor::CosPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageSpatialObject.html#59b8cb2b91110a74fa200cd0a9ae07c6">itk::ImageSpatialObject&lt; TDimension, unsigned char &gt;</a>, <a class="el" href="classitk_1_1SpatialObject.html#30e33a9f2b83e6f47a9b2db63b538198">itk::SpatialObject&lt; 3 &gt;</a>, and <a class="el" href="classitk_1_1SpatialObject.html#30e33a9f2b83e6f47a9b2db63b538198">itk::SpatialObject&lt; ::itk::GetMeshDimension&lt; TMesh &gt;::PointDimension &gt;</a>.</p>

<p>Referenced by <a class="el" href="itkSpatialObject_8h_source.html#l00230">itk::SpatialObject&lt; ::itk::GetMeshDimension&lt; TMesh &gt;::PointDimension &gt;::GetObjectMTime()</a>.</p>

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<a class="anchor" name="c169cc1cbab824c99e28c1dbcad99420"></a><!-- doxytag: member="itk::AffineTransform::GetNameOfClass" ref="c169cc1cbab824c99e28c1dbcad99420" args="() const " -->
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Run-time type information (and related methods). 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#42bf621014e2987082200b7077b18d10">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#deb7a70557d61436cb6a66e6f51f73cb">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#dbd87957209a5d0f20ff733ce89d82f8">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#1960f137943ea72e6fe06c54a6eff712">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#3ee95a49dadc3b4b176a8fea8614d82a">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="22265f9a534bdb86d0daa4bd76bc4e7d"></a><!-- doxytag: member="itk::AffineTransform::GetNumberOfParameters" ref="22265f9a534bdb86d0daa4bd76bc4e7d" args="(void) const" -->
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Return the number of parameters that completely define the Transfom 
<p>Implements <a class="el" href="classitk_1_1TransformBase.html#87cdd426491abc0a812dd6ef96a76245">itk::TransformBase</a>.</p>

<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00216">216</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="254e2cbfddb6e349e904720377559d27"></a><!-- doxytag: member="itk::AffineTransform::GetOffset" ref="254e2cbfddb6e349e904720377559d27" args="(void) const" -->
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Get offset of an MatrixOffsetTransformBase<p>
This method returns the offset value of the MatrixOffsetTransformBase. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00217">217</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

<p>Referenced by <a class="el" href="itkAffineTransform_8h_source.html#l00383">itk::AffineTransform&lt; TScalarType, NDimensions &gt;::BackTransform()</a>.</p>

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<a class="anchor" name="ece63194bf2b71f2affb160356f173af"></a><!-- doxytag: member="itk::AffineTransform::GetOutputSpaceDimension" ref="ece63194bf2b71f2affb160356f173af" args="(void) const" -->
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Get the size of the output space 
<p>Implements <a class="el" href="classitk_1_1TransformBase.html#34a9cdea64d798b33fcdce5995809c6d">itk::TransformBase</a>.</p>

<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00090">90</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="3a2fc7c0a9d2a6772b75c1b3cd998001"></a><!-- doxytag: member="itk::AffineTransform::GetParameters" ref="3a2fc7c0a9d2a6772b75c1b3cd998001" args="(void) const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1Array.html">ParametersType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetParameters           </td>
          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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          <td> const<code> [virtual, inherited]</code></td>
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<p>
Get the Transformation Parameters. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#42ce9cbc47c65b1556d4aee23b895f6e">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#cbfd03f952370c9864f2bf5f27e36598">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="48b4964378e7835c61aa54c3104eee61"></a><!-- doxytag: member="itk::AffineTransform::GetReferenceCount" ref="48b4964378e7835c61aa54c3104eee61" args="() const " -->
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          <td class="memname">virtual int itk::LightObject::GetReferenceCount           </td>
          <td>(</td>
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          <td> const<code> [inline, virtual, inherited]</code></td>
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<p>
Gets the reference count on this object. 
<p>Definition at line <a class="el" href="itkLightObject_8h_source.html#l00106">106</a> of file <a class="el" href="itkLightObject_8h_source.html">itkLightObject.h</a>.</p>

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<a class="anchor" name="4ff4911cf512e7dcc94a7394bf123baf"></a><!-- doxytag: member="itk::AffineTransform::GetTransformTypeAsString" ref="4ff4911cf512e7dcc94a7394bf123baf" args="() const" -->
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          <td>(</td>
          <td class="paramname">          </td>
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          <td> const<code> [virtual, inherited]</code></td>
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Generate a platform independant name 
<p>Implements <a class="el" href="classitk_1_1TransformBase.html#a32d964ce04f1761bc873c236b098c47">itk::TransformBase</a>.</p>

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<a class="anchor" name="504f15415b1f3d43f5bf58ce822dba3d"></a><!-- doxytag: member="itk::AffineTransform::GetTranslation" ref="504f15415b1f3d43f5bf58ce822dba3d" args="(void) const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetTranslation           </td>
          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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<p>
Get translation component of the MatrixOffsetTransformBase<p>
This method returns the translation used after rotation about the center point. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00277">277</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="7d1ab613aa8004a0e05b8b13fba622c4"></a><!-- doxytag: member="itk::AffineTransform::GetVarInverseMatrix" ref="7d1ab613aa8004a0e05b8b13fba622c4" args="(void) const" -->
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          <td class="memname">const <a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a>&amp; <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::GetVarInverseMatrix           </td>
          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
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<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00388">388</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="3a5c8091d9c41acbea2bb083f141b028"></a><!-- doxytag: member="itk::AffineTransform::GlobalWarningDisplayOff" ref="3a5c8091d9c41acbea2bb083f141b028" args="()" -->
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This is a global flag that controls whether any debug, warning or error messages are displayed. 
<p>Definition at line <a class="el" href="itkObject_8h_source.html#l00100">100</a> of file <a class="el" href="itkObject_8h_source.html">itkObject.h</a>.</p>

<p>References <a class="el" href="classitk_1_1Object.html#d8741136cb37a25e64c62ebf91794d4a">itk::Object::SetGlobalWarningDisplay()</a>.</p>

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<a class="anchor" name="81e0ce09465f2c7e243bb5f68b850ff3"></a><!-- doxytag: member="itk::AffineTransform::GlobalWarningDisplayOn" ref="81e0ce09465f2c7e243bb5f68b850ff3" args="()" -->
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          <td><code> [inline, static, inherited]</code></td>
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This is a global flag that controls whether any debug, warning or error messages are displayed. 
<p>Definition at line <a class="el" href="itkObject_8h_source.html#l00098">98</a> of file <a class="el" href="itkObject_8h_source.html">itkObject.h</a>.</p>

<p>References <a class="el" href="classitk_1_1Object.html#d8741136cb37a25e64c62ebf91794d4a">itk::Object::SetGlobalWarningDisplay()</a>.</p>

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<a class="anchor" name="1969769aece35c36fcf240bda3d57a30"></a><!-- doxytag: member="itk::AffineTransform::HasObserver" ref="1969769aece35c36fcf240bda3d57a30" args="(const EventObject &amp;event) const " -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>event</em>          </td>
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Return true if an observer is registered for this event. 
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<a class="anchor" name="84d3b820cc05355dae25087b37c6361f"></a><!-- doxytag: member="itk::AffineTransform::InverseMatrixIsOld" ref="84d3b820cc05355dae25087b37c6361f" args="(void) const" -->
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          <td>(</td>
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<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00392">392</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="1bb33c340bb9a88c496cdd4359043294"></a><!-- doxytag: member="itk::AffineTransform::InvokeEvent" ref="1bb33c340bb9a88c496cdd4359043294" args="(const EventObject &amp;) const " -->
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Call Execute on all the Commands observing this event id. The actions triggered by this call doesn't modify this object. 
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<a class="anchor" name="0040fe1667da646a6e9029ea91b966dd"></a><!-- doxytag: member="itk::AffineTransform::InvokeEvent" ref="0040fe1667da646a6e9029ea91b966dd" args="(const EventObject &amp;)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1EventObject.html">EventObject</a> &amp;&nbsp;</td>
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Call Execute on all the Commands observing this event id. 
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<a class="anchor" name="3ef4c0babc3ba144a3fa54fbe1834961"></a><!-- doxytag: member="itk::AffineTransform::IsLinear" ref="3ef4c0babc3ba144a3fa54fbe1834961" args="() const" -->
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Indicates that this transform is linear. That is, given two points P and Q, and scalar coefficients a and b, then<p>
T( a*P + b*Q ) = a * T(P) + b * T(Q) 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#6dd0d4fc4a260d495bd93e16d58aa23f">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00365">365</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="69b55dc6bb6b0769d1f317375ca853be"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="69b55dc6bb6b0769d1f317375ca853be" args="(ParametersDimension, unsigned int, NOutputDimensions *(NInputDimensions+1))" -->
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Dimension of the domain space. 
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<a class="anchor" name="7f4578cbee254fa55b81180832689a04"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="7f4578cbee254fa55b81180832689a04" args="(OutputSpaceDimension, unsigned int, NOutputDimensions)" -->
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Dimension of the domain space. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#ee509ff2cd61d7ce2bf6dea998a818db">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="bb7432b9fa9ab65ef0982f60ccae9213"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="bb7432b9fa9ab65ef0982f60ccae9213" args="(InputSpaceDimension, unsigned int, NInputDimensions)" -->
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Dimension of the domain space. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#7f5d0686346d8f060d659312702b9e20">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="eaedcd5a9fb13c86b0bfa2b5869a3b74"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="eaedcd5a9fb13c86b0bfa2b5869a3b74" args="(ParametersDimension, unsigned int, NDimensions *(NDimensions+1))" -->
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Dimension of the domain space. 
<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#0fa17250b45ea91e8ab3cfa80c6db49d">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#b920bf7410c0411449cd4f519458e2df">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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Dimension of the domain space. 
<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#ba79fe82217e323cd7672184f3963efe">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#eab6edd8ec167a7ba0071b4d0afe07cd">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#9f1aebdf23e87a802fc2930af1e28ac1">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#9dd72e589d1bf23b3e8bde53a208cf11">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="6e5828d1a62851256c3cdff5636e0503"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="6e5828d1a62851256c3cdff5636e0503" args="(OutputSpaceDimension, unsigned int, NDimensions)" -->
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Dimension of the domain space. 
<p>Reimplemented in <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#55f61a90cb4af578e73a84c8c83b23e1">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#7613b8cfd209b569e03035f576971a34">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="1cc3c44cfc2774fc6efaa32557b563bc"></a><!-- doxytag: member="itk::AffineTransform::itkStaticConstMacro" ref="1cc3c44cfc2774fc6efaa32557b563bc" args="(InputSpaceDimension, unsigned int, NDimensions)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname"><a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::itkStaticConstMacro           </td>
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Dimension of the domain space. 
<p>Reimplemented in <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#d795ef6452e72bf7bb0fbbc4481feda9">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#258f9a4abecd27fb81e6b895f06082aa">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="25a90751f01088f283758d35b1e67226"></a><!-- doxytag: member="itk::AffineTransform::Metric" ref="25a90751f01088f283758d35b1e67226" args="(void) const " -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname"><a class="el" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a> <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Metric           </td>
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This method computes the distance from self to the identity transformation, using the same metric as the one-argument form of the <a class="el" href="classitk_1_1AffineTransform.html#25a90751f01088f283758d35b1e67226">Metric()</a> method. 
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<a class="anchor" name="01d29c1138b1c3af85516e336a7f1479"></a><!-- doxytag: member="itk::AffineTransform::Metric" ref="01d29c1138b1c3af85516e336a7f1479" args="(const Self *other) const " -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1AffineTransform.html">Self</a> *&nbsp;</td>
          <td class="paramname"> <em>other</em>          </td>
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Compute distance between two affine transformations<p>
This method computes a ``distance'' between two affine transformations. This distance is guaranteed to be a metric, but not any particular metric. (At the moment, the algorithm is to collect all the elements of the matrix and offset into a vector, and compute the euclidean (L2) norm of that vector. Some metric which could be used to estimate the distance between two points transformed by the affine transformation would be more useful, but I don't have time right now to work out the mathematical details.) 
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<a class="anchor" name="33101e349626ac58ced6682b061d8277"></a><!-- doxytag: member="itk::AffineTransform::Modified" ref="33101e349626ac58ced6682b061d8277" args="() const " -->
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Update the modification time for this object. Many filters rely on the modification time to determine if they need to recompute their data. 
<p>Reimplemented in <a class="el" href="classitk_1_1NormalizeImageFilter.html#bf4bd98cebe2b7f32cafe14cf26d070e">itk::NormalizeImageFilter&lt; TInputImage, TOutputImage &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, TAccessor &gt;</a>, <a class="el" href="classitk_1_1MiniPipelineSeparableImageFilter.html#b0303217704dd6f93c20a1a23005c9ca">itk::MiniPipelineSeparableImageFilter&lt; TInputImage, TOutputImage, TFilter &gt;</a>, <a class="el" href="classitk_1_1GrayscaleDilateImageFilter.html#a77124317dfbc2733c00848f8d38cd24">itk::GrayscaleDilateImageFilter&lt; TInputImage, TOutputImage, TKernel &gt;</a>, <a class="el" href="classitk_1_1GrayscaleErodeImageFilter.html#1bdb64296f5364c634b1008ce0f4668a">itk::GrayscaleErodeImageFilter&lt; TInputImage, TOutputImage, TKernel &gt;</a>, <a class="el" href="classitk_1_1GrayscaleMorphologicalClosingImageFilter.html#ce18a62b5c1fd0d8713718b995895e97">itk::GrayscaleMorphologicalClosingImageFilter&lt; TInputImage, TOutputImage, TKernel &gt;</a>, <a class="el" href="classitk_1_1GrayscaleMorphologicalOpeningImageFilter.html#c6389ff94a8d6270f750530be365338c">itk::GrayscaleMorphologicalOpeningImageFilter&lt; TInputImage, TOutputImage, TKernel &gt;</a>, <a class="el" href="classitk_1_1MorphologicalGradientImageFilter.html#f46572d5a0d9a7414b51cde735463b15">itk::MorphologicalGradientImageFilter&lt; TInputImage, TOutputImage, TKernel &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::LogPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::SqrtPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToModulusPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToImaginaryPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::SinPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::TanPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ExpNegativePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::Log10PixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, PixelAccessor &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::RGBToVectorPixelAccessor&lt; TImage::PixelType::ComponentType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::AcosPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::RGBToLuminancePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToPhasePixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; VectorImage&lt; TPixelType, Dimension &gt;, Accessor::VectorImageToImagePixelAccessor&lt; TPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::AddPixelAccessor&lt; TImage::PixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::AbsPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::VectorToRGBPixelAccessor&lt; TImage::PixelType::ValueType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::AsinPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ComplexToRealPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::ExpPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::AtanPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, <a class="el" href="classitk_1_1ImageAdaptor.html#8e735ae00ed65d06ba8cfe3570d71943">itk::ImageAdaptor&lt; TImage, Accessor::CosPixelAccessor&lt; TImage::PixelType, TOutputPixelType &gt; &gt;</a>, and <a class="el" href="classitk_1_1MiniPipelineSeparableImageFilter.html#b0303217704dd6f93c20a1a23005c9ca">itk::MiniPipelineSeparableImageFilter&lt; TInputImage, TOutputImage, RankImageFilter&lt; TInputImage, TInputImage, FlatStructuringElement&lt; ::itk::GetImageDimension&lt; TInputImage &gt;::ImageDimension &gt; &gt; &gt;</a>.</p>

<p>Referenced by <a class="el" href="itkNarrowBandImageFilterBase_8h_source.html#l00123">itk::NarrowBandImageFilterBase&lt; TInputImage, TOutputImage &gt;::InsertNarrowBandNode()</a>, <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00242">itk::MatrixOffsetTransformBase&lt; TScalarType, 3, 3 &gt;::SetCenter()</a>, <a class="el" href="itkHistogramAlgorithmBase_8h_source.html#l00053">itk::HistogramAlgorithmBase&lt; TInputHistogram &gt;::SetInputHistogram()</a>, <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00180">itk::MatrixOffsetTransformBase&lt; TScalarType, 3, 3 &gt;::SetMatrix()</a>, <a class="el" href="itkNarrowBandImageFilterBase_8h_source.html#l00191">itk::NarrowBandImageFilterBase&lt; TInputImage, TOutputImage &gt;::SetNarrowBand()</a>, <a class="el" href="itkNarrowBandImageFilterBase_8h_source.html#l00168">itk::NarrowBandImageFilterBase&lt; TInputImage, TOutputImage &gt;::SetNarrowBandInnerRadius()</a>, <a class="el" href="itkNarrowBandImageFilterBase_8h_source.html#l00150">itk::NarrowBandImageFilterBase&lt; TInputImage, TOutputImage &gt;::SetNarrowBandTotalRadius()</a>, <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00205">itk::MatrixOffsetTransformBase&lt; TScalarType, 3, 3 &gt;::SetOffset()</a>, <a class="el" href="itkThresholdLabelerImageFilter_8h_source.html#l00175">itk::ThresholdLabelerImageFilter&lt; TInputImage, TOutputImage &gt;::SetRealThresholds()</a>, <a class="el" href="itkCollidingFrontsImageFilter_8h_source.html#l00110">itk::CollidingFrontsImageFilter&lt; TInputImage, TOutputImage &gt;::SetSeedPoints1()</a>, <a class="el" href="itkCollidingFrontsImageFilter_8h_source.html#l00123">itk::CollidingFrontsImageFilter&lt; TInputImage, TOutputImage &gt;::SetSeedPoints2()</a>, <a class="el" href="itkNonUniformBSpline_8h_source.html#l00141">itk::NonUniformBSpline&lt; TDimension &gt;::SetSplineOrder()</a>, <a class="el" href="itkThresholdLabelerImageFilter_8h_source.html#l00156">itk::ThresholdLabelerImageFilter&lt; TInputImage, TOutputImage &gt;::SetThresholds()</a>, <a class="el" href="itkGoodnessOfFitFunctionBase_8h_source.html#l00082">itk::Statistics::GoodnessOfFitFunctionBase&lt; TInputHistogram &gt;::SetTotalObservedScale()</a>, and <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00264">itk::MatrixOffsetTransformBase&lt; TScalarType, 3, 3 &gt;::SetTranslation()</a>.</p>

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<a class="anchor" name="addcedf295181fbdd4893c4a51896aa8"></a><!-- doxytag: member="itk::AffineTransform::New" ref="addcedf295181fbdd4893c4a51896aa8" args="()" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td>(</td>
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New macro for creation of through a Smart Pointer 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#c7c5558b80681c2cf7e8dfd7d74321cd">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#3cd4846f1efea7c12e7ba52f7e63e64f">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1CenteredAffineTransform.html#6d6c9181fc2ec932287b8424d1fd5959">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>, <a class="el" href="classitk_1_1FixedCenterOfRotationAffineTransform.html#5cf8801905e38ff4e5ff83fa0b6ea8fa">itk::FixedCenterOfRotationAffineTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#6e9d0ca18f92952e6a00ced58b2327cc">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="bb0e07472c48d5a2033ac69ed519a338"></a><!-- doxytag: member="itk::AffineTransform::Print" ref="bb0e07472c48d5a2033ac69ed519a338" args="(std::ostream &amp;os, Indent indent=0) const " -->
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Cause the object to print itself out. 
<p>Referenced by <a class="el" href="itkWeakPointer_8h_source.html#l00116">itk::WeakPointer&lt; ProcessObject &gt;::Print()</a>.</p>

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<a class="anchor" name="2c28e4194498d84fc4cf04f52627ebfc"></a><!-- doxytag: member="itk::AffineTransform::PrintHeader" ref="2c28e4194498d84fc4cf04f52627ebfc" args="(std::ostream &amp;os, Indent indent) const " -->
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Methods invoked by <a class="el" href="classitk_1_1LightObject.html#bb0e07472c48d5a2033ac69ed519a338">Print()</a> to print information about the object including superclasses. Typically not called by the user (use <a class="el" href="classitk_1_1LightObject.html#bb0e07472c48d5a2033ac69ed519a338">Print()</a> instead) but used in the hierarchical print process to combine the output of several classes. 
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<a class="anchor" name="86e41d394947d09fa11d2bd1aa4a0823"></a><!-- doxytag: member="itk::AffineTransform::PrintObservers" ref="86e41d394947d09fa11d2bd1aa4a0823" args="(std::ostream &amp;os, Indent indent) const " -->
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<a class="anchor" name="ec02672ebc5ee82ba29a2a3b223fc5fa"></a><!-- doxytag: member="itk::AffineTransform::PrintSelf" ref="ec02672ebc5ee82ba29a2a3b223fc5fa" args="(std::ostream &amp;s, Indent indent) const " -->
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Print contents of an <a class="el" href="classitk_1_1AffineTransform.html">AffineTransform</a> 
<p>Reimplemented from <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html#fb7b2dc04c47bd813f35fa1ce93ed3c9">itk::MatrixOffsetTransformBase&lt; TScalarType, NDimensions, NDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#1632d4e7845740449f95ac6950dbd64d">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>, and <a class="el" href="classitk_1_1ScalableAffineTransform.html#12a364beedea73863326467d4d0aae75">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="53f01227f6e1d236af409a9f90948734"></a><!-- doxytag: member="itk::AffineTransform::PrintTrailer" ref="53f01227f6e1d236af409a9f90948734" args="(std::ostream &amp;os, Indent indent) const " -->
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          <td class="memname">virtual void itk::LightObject::PrintTrailer           </td>
          <td>(</td>
          <td class="paramtype">std::ostream &amp;&nbsp;</td>
          <td class="paramname"> <em>os</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classitk_1_1Indent.html">Indent</a>&nbsp;</td>
          <td class="paramname"> <em>indent</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> const<code> [protected, virtual, inherited]</code></td>
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<p>
Methods invoked by <a class="el" href="classitk_1_1LightObject.html#bb0e07472c48d5a2033ac69ed519a338">Print()</a> to print information about the object including superclasses. Typically not called by the user (use <a class="el" href="classitk_1_1LightObject.html#bb0e07472c48d5a2033ac69ed519a338">Print()</a> instead) but used in the hierarchical print process to combine the output of several classes. 
</div>
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<a class="anchor" name="0cdbcf8585409596b9deabed98ce19a1"></a><!-- doxytag: member="itk::AffineTransform::Register" ref="0cdbcf8585409596b9deabed98ce19a1" args="() const " -->
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          <td class="memname">virtual void itk::Object::Register           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [virtual, inherited]</code></td>
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<p>
Increase the reference count (mark as used by another object). 
<p>Reimplemented from <a class="el" href="classitk_1_1LightObject.html#ae9bb60ec4be7ddd5f4ddbf3ee554b93">itk::LightObject</a>.</p>

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<a class="anchor" name="1d681b7e17fc204ad22b84d1e924784e"></a><!-- doxytag: member="itk::AffineTransform::RemoveAllObservers" ref="1d681b7e17fc204ad22b84d1e924784e" args="()" -->
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          <td class="memname">void itk::Object::RemoveAllObservers           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inherited]</code></td>
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<p>
Remove all observers . 
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<a class="anchor" name="d35bf2647e1d1c1dc34289d5aeb1d041"></a><!-- doxytag: member="itk::AffineTransform::RemoveObserver" ref="d35bf2647e1d1c1dc34289d5aeb1d041" args="(unsigned long tag)" -->
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          <td class="memname">void itk::Object::RemoveObserver           </td>
          <td>(</td>
          <td class="paramtype">unsigned long&nbsp;</td>
          <td class="paramname"> <em>tag</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inherited]</code></td>
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<p>
Remove the observer with this tag value. 
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<a class="anchor" name="30b24a0ddaa653cbf7c89e4bbe6269b4"></a><!-- doxytag: member="itk::AffineTransform::Rotate" ref="30b24a0ddaa653cbf7c89e4bbe6269b4" args="(int axis1, int axis2, TScalarType angle, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Rotate           </td>
          <td>(</td>
          <td class="paramtype">int&nbsp;</td>
          <td class="paramname"> <em>axis1</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&nbsp;</td>
          <td class="paramname"> <em>axis2</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">TScalarType&nbsp;</td>
          <td class="paramname"> <em>angle</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
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<p>
Compose affine transformation with an elementary rotation<p>
This method composes self with a rotation that affects two specified axes, replacing the current value of self. The rotation angle is in radians. The axis of rotation goes through the origin. The transformation is given by<p>
y[axis1] = vcl_cos(angle)*x[axis1] + vcl_sin(angle)*x[axis2] y[axis2] = -sin(angle)*x[axis1] + vcl_cos(angle)*x[axis2].<p>
All coordinates other than axis1 and axis2 are unchanged; a rotation of pi/2 radians will carry +axis1 into +axis2. The rotation is precomposed with self if pre is true, and postcomposed otherwise. Note that the rotation is applied centered at the origin. 
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<a class="anchor" name="8f72aa7f091bb0c66eaa86e194cb0a9e"></a><!-- doxytag: member="itk::AffineTransform::Rotate2D" ref="8f72aa7f091bb0c66eaa86e194cb0a9e" args="(TScalarType angle, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Rotate2D           </td>
          <td>(</td>
          <td class="paramtype">TScalarType&nbsp;</td>
          <td class="paramname"> <em>angle</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
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<p>
Compose 2D affine transformation with a rotation<p>
This method composes self, which must be a 2D affine transformation, with a clockwise rotation through a given angle in radians. The center of rotation is the origin. The rotation is precomposed with self if pre is true, and postcomposed otherwise. Note that the rotation is applied centered at the origin.<p>
<dl class="warning" compact><dt><b>Warning:</b></dt><dd>Only to be use in two dimensions</dd></dl>
<dl class="todo" compact><dt><b><a class="el" href="todo.html#_todo000010">Todo:</a></b></dt><dd>Find a way to generate a compile-time error is this is used with NDimensions != 2. </dd></dl>

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<a class="anchor" name="c27f9eeee782358406492ba66bbc3f46"></a><!-- doxytag: member="itk::AffineTransform::Rotate3D" ref="c27f9eeee782358406492ba66bbc3f46" args="(const OutputVectorType &amp;axis, TScalarType angle, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Rotate3D           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>axis</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">TScalarType&nbsp;</td>
          <td class="paramname"> <em>angle</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
        </tr>
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          <td>)</td>
          <td></td><td></td><td></td>
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<p>
Compose 3D affine transformation with a rotation<p>
This method composes self, which must be a 3D affine transformation, with a clockwise rotation around a specified axis. The rotation angle is in radians; the axis of rotation goes through the origin. The rotation is precomposed with self if pre is true, and postcomposed otherwise. Note that the rotation is applied centered at the origin.<p>
<dl class="warning" compact><dt><b>Warning:</b></dt><dd>Only to be used in dimension 3</dd></dl>
<dl class="todo" compact><dt><b><a class="el" href="todo.html#_todo000011">Todo:</a></b></dt><dd>Find a way to generate a compile-time error is this is used with NDimensions != 3. </dd></dl>

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<a class="anchor" name="3f48e7351eb73c02997219589c2ba5fd"></a><!-- doxytag: member="itk::AffineTransform::Scale" ref="3f48e7351eb73c02997219589c2ba5fd" args="(const TScalarType &amp;factor, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Scale           </td>
          <td>(</td>
          <td class="paramtype">const TScalarType &amp;&nbsp;</td>
          <td class="paramname"> <em>factor</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
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<p>
Compose affine transformation with a scaling<p>
This method modifies self to magnify the source by a given factor along each axis. If all factors are the same, or only a single factor is given, then the scaling is isotropic; otherwise it is anisotropic. If an odd number of factors are negative, then the parity of the image changes. If any of the factors is zero, then the transformation becomes a projection and is not invertible. The scaling is precomposed with self if pre is true, and postcomposed otherwise. Note that the scaling is applied centered at the origin. 
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<a class="anchor" name="411e526a8f75ca023a5c95360568b69b"></a><!-- doxytag: member="itk::AffineTransform::Scale" ref="411e526a8f75ca023a5c95360568b69b" args="(const OutputVectorType &amp;factor, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Scale           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>factor</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
        </tr>
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          <td></td>
          <td>)</td>
          <td></td><td></td><td></td>
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<p>
Compose affine transformation with a scaling<p>
This method modifies self to magnify the source by a given factor along each axis. If all factors are the same, or only a single factor is given, then the scaling is isotropic; otherwise it is anisotropic. If an odd number of factors are negative, then the parity of the image changes. If any of the factors is zero, then the transformation becomes a projection and is not invertible. The scaling is precomposed with self if pre is true, and postcomposed otherwise. Note that the scaling is applied centered at the origin. 
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<a class="anchor" name="66847494b74e20583dc4f1041e66594a"></a><!-- doxytag: member="itk::AffineTransform::SetCenter" ref="66847494b74e20583dc4f1041e66594a" args="(const InputPointType &amp;center)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetCenter           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>center</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, inherited]</code></td>
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<p>
Set center of rotation of an MatrixOffsetTransformBase<p>
This method sets the center of rotation of an MatrixOffsetTransformBase to a fixed point - for most transforms derived from this class, this point is not a "parameter" of the transform - the exception is that "centered" transforms have center as a parameter during optimization.<p>
This method updates offset wrt to current translation and matrix. That is, changing the center changes the transform!<p>
WARNING: When using the Center, we strongly recommend only changing the matrix and translation to define a transform. Changing a transform's center, changes the mapping between spaces - specifically, translation is not changed with respect to that new center, and so the offset is updated to * maintain the consistency with translation. If a center is not used, or is set before the matrix and the offset, then it is safe to change the offset directly. As a rule of thumb, if you wish to set the center explicitly, set before Offset computations are done.<p>
To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00242">242</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="0b7aabc3944effad59f0f048d621645d"></a><!-- doxytag: member="itk::AffineTransform::SetDebug" ref="0b7aabc3944effad59f0f048d621645d" args="(bool debugFlag) const " -->
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          <td class="memname">void itk::Object::SetDebug           </td>
          <td>(</td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>debugFlag</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [inherited]</code></td>
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<p>
Set the value of the debug flag. <a class="el" href="classA.html">A</a> non-zero value turns debugging on. 
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<a class="anchor" name="bab57111fda06e69309c80fdf6fbee38"></a><!-- doxytag: member="itk::AffineTransform::SetFixedParameters" ref="bab57111fda06e69309c80fdf6fbee38" args="(const ParametersType &amp;)" -->
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          <td class="memname">virtual void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetFixedParameters           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;&nbsp;</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [virtual, inherited]</code></td>
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<p>
Set the fixed parameters and update internal transformation. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#41f9a1d2c3a016875d8ebf3b2d219b15">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="d8741136cb37a25e64c62ebf91794d4a"></a><!-- doxytag: member="itk::AffineTransform::SetGlobalWarningDisplay" ref="d8741136cb37a25e64c62ebf91794d4a" args="(bool flag)" -->
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          <td class="memname">static void itk::Object::SetGlobalWarningDisplay           </td>
          <td>(</td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>flag</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [static, inherited]</code></td>
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<p>
This is a global flag that controls whether any debug, warning or error messages are displayed. 
<p>Referenced by <a class="el" href="itkObject_8h_source.html#l00100">itk::Object::GlobalWarningDisplayOff()</a>, and <a class="el" href="itkObject_8h_source.html#l00098">itk::Object::GlobalWarningDisplayOn()</a>.</p>

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<a class="anchor" name="ef38e4ab1d84ac3275a6ae8303554f23"></a><!-- doxytag: member="itk::AffineTransform::SetIdentity" ref="ef38e4ab1d84ac3275a6ae8303554f23" args="(void)" -->
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          <td class="memname">virtual void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetIdentity           </td>
          <td>(</td>
          <td class="paramtype">void&nbsp;</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [virtual, inherited]</code></td>
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<p>
Set the transformation to an Identity<p>
This sets the matrix to identity and the Offset to null. 
<p>Reimplemented in <a class="el" href="classitk_1_1ScalableAffineTransform.html#90fc9c73d2917afaab6203989fb95e79">itk::ScalableAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="a0adea27a287803d6d724fc379e106cc"></a><!-- doxytag: member="itk::AffineTransform::SetMatrix" ref="a0adea27a287803d6d724fc379e106cc" args="(const MatrixType &amp;matrix)" -->
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          <td class="memname">virtual void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetMatrix           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>matrix</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, virtual, inherited]</code></td>
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<p>
Set matrix of an MatrixOffsetTransformBase<p>
This method sets the matrix of an MatrixOffsetTransformBase to a value specified by the user.<p>
This updates the Offset wrt to current translation and center. See the warning regarding offset-versus-translation in the documentation for SetCenter.<p>
To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00180">180</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="7b61a8c36e3ddda0b464c064c4e25eff"></a><!-- doxytag: member="itk::AffineTransform::SetMetaDataDictionary" ref="7b61a8c36e3ddda0b464c064c4e25eff" args="(const MetaDataDictionary &amp;rhs)" -->
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          <td class="memname">void itk::Object::SetMetaDataDictionary           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inherited]</code></td>
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<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>Set the <a class="el" href="classitk_1_1MetaDataDictionary.html">MetaDataDictionary</a> </dd></dl>

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<a class="anchor" name="8e892b459a3b03f08d5b1e0c3a1e7c3a"></a><!-- doxytag: member="itk::AffineTransform::SetOffset" ref="8e892b459a3b03f08d5b1e0c3a1e7c3a" args="(const OutputVectorType &amp;offset)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetOffset           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>offset</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, inherited]</code></td>
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<p>
Set offset (origin) of an MatrixOffset TransformBase.<p>
This method sets the offset of an MatrixOffsetTransformBase to a value specified by the user. This updates Translation wrt current center. See the warning regarding offset-versus-translation in the documentation for SetCenter. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00205">205</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="bf83241327bf50ec852c186b7ca8d941"></a><!-- doxytag: member="itk::AffineTransform::SetParameters" ref="bf83241327bf50ec852c186b7ca8d941" args="(const ParametersType &amp;parameters)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetParameters           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>parameters</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [virtual, inherited]</code></td>
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<p>
Set the transformation from a container of parameters. The first (NOutputDimension x NInputDimension) parameters define the matrix and the last NOutputDimension parameters the translation. Offset is updated based on current center. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#048117fe73e9098dd38ea51190134ba1">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

<p>Reimplemented in <a class="el" href="classitk_1_1CenteredAffineTransform.html#c5e76d90686c54d36788eda01df144d3">itk::CenteredAffineTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="3f1b4a6ca8519df7a51626e92e01f2cb"></a><!-- doxytag: member="itk::AffineTransform::SetParametersByValue" ref="3f1b4a6ca8519df7a51626e92e01f2cb" args="(const ParametersType &amp;p)" -->
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          <td class="memname">virtual void <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetParametersByValue           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Array.html">ParametersType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>p</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, virtual, inherited]</code></td>
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<p>
Set the transformation parameters and update internal transformation. This method forces the transform to copy the parameters. The default implementation is to call SetParameters. This call must be overridden if the transform normally implements SetParameters by keeping a reference to the parameters. <dl class="see" compact><dt><b>See also:</b></dt><dd>SetParameters </dd></dl>

<p>Implements <a class="el" href="classitk_1_1TransformBase.html#ec91f56eacd6590f31b7539cebe535f1">itk::TransformBase</a>.</p>

<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00151">151</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="10988882bd8c63886182f959ce5e0b3b"></a><!-- doxytag: member="itk::AffineTransform::SetReferenceCount" ref="10988882bd8c63886182f959ce5e0b3b" args="(int)" -->
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          <td class="memname">virtual void itk::Object::SetReferenceCount           </td>
          <td>(</td>
          <td class="paramtype">int&nbsp;</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [virtual, inherited]</code></td>
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<p>
Sets the reference count (use with care) 
<p>Reimplemented from <a class="el" href="classitk_1_1LightObject.html#c065f10e03fbe34c9861830d23c107f1">itk::LightObject</a>.</p>

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<a class="anchor" name="467b1458a97955a5c10808ffb05bfe86"></a><!-- doxytag: member="itk::AffineTransform::SetTranslation" ref="467b1458a97955a5c10808ffb05bfe86" args="(const OutputVectorType &amp;translation)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetTranslation           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>translation</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, inherited]</code></td>
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<p>
Set translation of an MatrixOffsetTransformBase<p>
This method sets the translation of an MatrixOffsetTransformBase. This updates Offset to reflect current translation. To define an affine transform, you must set the matrix, center, and translation OR the matrix and offset 
<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00264">264</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="ea5177c72d616dcd490fa3cde3e545d2"></a><!-- doxytag: member="itk::AffineTransform::SetVarCenter" ref="ea5177c72d616dcd490fa3cde3e545d2" args="(const InputPointType &amp;center)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetVarCenter           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>center</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, protected, inherited]</code></td>
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<p>

<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00418">418</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="3460cd252102a51ae2837ec0553b113d"></a><!-- doxytag: member="itk::AffineTransform::SetVarInverseMatrix" ref="3460cd252102a51ae2837ec0553b113d" args="(const InverseMatrixType &amp;matrix) const" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetVarInverseMatrix           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Matrix.html">InverseMatrixType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>matrix</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [inline, protected, inherited]</code></td>
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<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00390">390</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="de89e34fbebede6a64a6c560c7ec1cd0"></a><!-- doxytag: member="itk::AffineTransform::SetVarMatrix" ref="de89e34fbebede6a64a6c560c7ec1cd0" args="(const MatrixType &amp;matrix)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetVarMatrix           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Matrix.html">MatrixType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>matrix</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, protected, inherited]</code></td>
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<p>

<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00407">407</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="b3ec3c822001532331c10c3b3a2c573a"></a><!-- doxytag: member="itk::AffineTransform::SetVarOffset" ref="b3ec3c822001532331c10c3b3a2c573a" args="(const OutputVectorType &amp;offset)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetVarOffset           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>offset</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, protected, inherited]</code></td>
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<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00415">415</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="668dbdb54e82d00ff6fc14a0e2a80a92"></a><!-- doxytag: member="itk::AffineTransform::SetVarTranslation" ref="668dbdb54e82d00ff6fc14a0e2a80a92" args="(const OutputVectorType &amp;translation)" -->
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          <td class="memname">void <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::SetVarTranslation           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>translation</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline, protected, inherited]</code></td>
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<p>Definition at line <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html#l00411">411</a> of file <a class="el" href="itkMatrixOffsetTransformBase_8h_source.html">itkMatrixOffsetTransformBase.h</a>.</p>

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<a class="anchor" name="5b313b2351cc9a85d78bb831e94d0f25"></a><!-- doxytag: member="itk::AffineTransform::Shear" ref="5b313b2351cc9a85d78bb831e94d0f25" args="(int axis1, int axis2, TScalarType coef, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Shear           </td>
          <td>(</td>
          <td class="paramtype">int&nbsp;</td>
          <td class="paramname"> <em>axis1</em>, </td>
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          <td class="paramtype">int&nbsp;</td>
          <td class="paramname"> <em>axis2</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">TScalarType&nbsp;</td>
          <td class="paramname"> <em>coef</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">bool&nbsp;</td>
          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
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<p>
Compose affine transformation with a shear<p>
This method composes self with a shear transformation, replacing the original contents of self. The shear is precomposed with self if pre is true, and postcomposed otherwise. The transformation is given by<p>
y[axis1] = x[axis1] + coef*x[axis2] y[axis2] = x[axis2].<p>
Note that the shear is applied centered at the origin. 
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<a class="anchor" name="8f95797f252c776d68e869bc9b061cc3"></a><!-- doxytag: member="itk::AffineTransform::TransformCovariantVector" ref="8f95797f252c776d68e869bc9b061cc3" args="(const InputCovariantVectorType &amp;vector) const" -->
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          <td class="memname"><a class="el" href="classitk_1_1CovariantVector.html">OutputCovariantVectorType</a> <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::TransformCovariantVector           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1CovariantVector.html">InputCovariantVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vector</em>          </td>
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          <td> const<code> [virtual, inherited]</code></td>
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<p>
Transform by an affine transformation<p>
This method applies the affine transform given by self to a given point or vector, returning the transformed point or vector. The TransformPoint method transforms its argument as an affine point, whereas the TransformVector method transforms its argument as a vector. 
<p>Reimplemented from <a class="el" href="classitk_1_1Transform.html#22fb908aede8d55607f6eb4d8d6ed0fc">itk::Transform&lt; TScalarType, NInputDimensions, NOutputDimensions &gt;</a>.</p>

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<a class="anchor" name="8c2f2f4903bbd91cac02e8185ba4ebde"></a><!-- doxytag: member="itk::AffineTransform::TransformPoint" ref="8c2f2f4903bbd91cac02e8185ba4ebde" args="(const InputPointType &amp;) const" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td>
          <td class="paramname">          </td>
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          <td> const<code> [inline, virtual, inherited]</code></td>
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<p>
Method to transform a point. 
<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00118">118</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="78920a11555532db4290756371975642"></a><!-- doxytag: member="itk::AffineTransform::TransformPoint" ref="78920a11555532db4290756371975642" args="(const InputPointType &amp;point) const" -->
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          <td class="memname"><a class="el" href="classitk_1_1Point.html">OutputPointType</a> <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::TransformPoint           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Point.html">InputPointType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>point</em>          </td>
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<p>
Transform by an affine transformation<p>
This method applies the affine transform given by self to a given point or vector, returning the transformed point or vector. The TransformPoint method transforms its argument as an affine point, whereas the TransformVector method transforms its argument as a vector. 
<p>Reimplemented in <a class="el" href="classitk_1_1AzimuthElevationToCartesianTransform.html#a0119e34051447b6091a1cbd1f2d1feb">itk::AzimuthElevationToCartesianTransform&lt; TScalarType, NDimensions &gt;</a>.</p>

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<a class="anchor" name="3b862cba99d73560913338d8014f65f3"></a><!-- doxytag: member="itk::AffineTransform::TransformVector" ref="3b862cba99d73560913338d8014f65f3" args="(const InputVnlVectorType &amp;) const" -->
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          <td class="memname">virtual <a class="el" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a> <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::TransformVector           </td>
          <td>(</td>
          <td class="paramtype">const InputVnlVectorType &amp;&nbsp;</td>
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Method to transform a <a class="el" href="classvnl__vector.html">vnl_vector</a>. 
<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00126">126</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="f14e858f41019322446c1c91add2c145"></a><!-- doxytag: member="itk::AffineTransform::TransformVector" ref="f14e858f41019322446c1c91add2c145" args="(const InputVectorType &amp;) const" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">InputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname">          </td>
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          <td> const<code> [inline, virtual, inherited]</code></td>
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Method to transform a vector. 
<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00122">122</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="0d3e90a7ca53cd1c11ae3b8de36021ce"></a><!-- doxytag: member="itk::AffineTransform::TransformVector" ref="0d3e90a7ca53cd1c11ae3b8de36021ce" args="(const InputVnlVectorType &amp;vector) const" -->
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          <td>(</td>
          <td class="paramtype">const InputVnlVectorType &amp;&nbsp;</td>
          <td class="paramname"> <em>vector</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [inherited]</code></td>
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<p>
Transform by an affine transformation<p>
This method applies the affine transform given by self to a given point or vector, returning the transformed point or vector. The TransformPoint method transforms its argument as an affine point, whereas the TransformVector method transforms its argument as a vector. 
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<a class="anchor" name="9bf4c311261aec387212102ceb100e94"></a><!-- doxytag: member="itk::AffineTransform::TransformVector" ref="9bf4c311261aec387212102ceb100e94" args="(const InputVectorType &amp;vector) const" -->
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          <td class="memname"><a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> <a class="el" href="classitk_1_1MatrixOffsetTransformBase.html">itk::MatrixOffsetTransformBase</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::TransformVector           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">InputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vector</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [inherited]</code></td>
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<p>
Transform by an affine transformation<p>
This method applies the affine transform given by self to a given point or vector, returning the transformed point or vector. The TransformPoint method transforms its argument as an affine point, whereas the TransformVector method transforms its argument as a vector. 
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<a class="anchor" name="c2de1aeeaa5bfa49b5e84e6ccadb09be"></a><!-- doxytag: member="itk::AffineTransform::Translate" ref="c2de1aeeaa5bfa49b5e84e6ccadb09be" args="(const OutputVectorType &amp;offset, bool pre=0)" -->
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template&lt;class TScalarType = double, unsigned int NDimensions = 3&gt; </div>
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          <td class="memname">void <a class="el" href="classitk_1_1AffineTransform.html">itk::AffineTransform</a>&lt; TScalarType, NDimensions &gt;::Translate           </td>
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          <td class="paramtype">const <a class="el" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>offset</em>, </td>
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          <td class="paramname"> <em>pre</em> = <code>0</code></td><td>&nbsp;</td>
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Compose affine transformation with a translation<p>
This method modifies self to include a translation of the origin. The translation is precomposed with self if pre is true, and postcomposed otherwise. This updates Translation based on current center. 
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<a class="anchor" name="eb964c23f5ea55c3896efdc645524e55"></a><!-- doxytag: member="itk::AffineTransform::UnRegister" ref="eb964c23f5ea55c3896efdc645524e55" args="() const " -->
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          <td class="memname">virtual void itk::Object::UnRegister           </td>
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          <td> const<code> [virtual, inherited]</code></td>
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Decrease the reference count (release by another object). 
<p>Reimplemented from <a class="el" href="classitk_1_1LightObject.html#685281de558804ff66fab3ab50744b78">itk::LightObject</a>.</p>

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<hr><h2>Member Data Documentation</h2>
<a class="anchor" name="b2231680ac1507836ba03344f50937c8"></a><!-- doxytag: member="itk::AffineTransform::m_FixedParameters" ref="b2231680ac1507836ba03344f50937c8" args="" -->
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          <td class="memname"><a class="el" href="classitk_1_1Array.html">ParametersType</a> <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::<a class="el" href="classitk_1_1Transform.html#b2231680ac1507836ba03344f50937c8">m_FixedParameters</a><code> [mutable, protected, inherited]</code>          </td>
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<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00253">253</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="40adf0b02b898fd5760b60a0eef1498e"></a><!-- doxytag: member="itk::AffineTransform::m_Jacobian" ref="40adf0b02b898fd5760b60a0eef1498e" args="" -->
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          <td class="memname"><a class="el" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a> <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::<a class="el" href="classitk_1_1Transform.html#40adf0b02b898fd5760b60a0eef1498e">m_Jacobian</a><code> [mutable, protected, inherited]</code>          </td>
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<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00254">254</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="d6434ebf1b47b56a82cd662f244f9c18"></a><!-- doxytag: member="itk::AffineTransform::m_Parameters" ref="d6434ebf1b47b56a82cd662f244f9c18" args="" -->
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          <td class="memname"><a class="el" href="classitk_1_1Array.html">ParametersType</a> <a class="el" href="classitk_1_1Transform.html">itk::Transform</a>&lt; TScalarType , NInputDimensions, NOutputDimensions &gt;::<a class="el" href="classitk_1_1Transform.html#d6434ebf1b47b56a82cd662f244f9c18">m_Parameters</a><code> [mutable, protected, inherited]</code>          </td>
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<p>Definition at line <a class="el" href="itkTransform_8h_source.html#l00252">252</a> of file <a class="el" href="itkTransform_8h_source.html">itkTransform.h</a>.</p>

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<a class="anchor" name="499dbc304e9a6b929a4f339308788456"></a><!-- doxytag: member="itk::AffineTransform::m_ReferenceCount" ref="499dbc304e9a6b929a4f339308788456" args="" -->
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          <td class="memname"><a class="el" href="classitk_1_1LightObject.html#dc057b9bc15dba2d9b7b8bd4fa0f6774">InternalReferenceCountType</a> <a class="el" href="classitk_1_1LightObject.html#499dbc304e9a6b929a4f339308788456">itk::LightObject::m_ReferenceCount</a><code> [mutable, protected, inherited]</code>          </td>
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<p>
Number of uses of this object by other objects. 
<p>Definition at line <a class="el" href="itkLightObject_8h_source.html#l00144">144</a> of file <a class="el" href="itkLightObject_8h_source.html">itkLightObject.h</a>.</p>

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<a class="anchor" name="b44ec95ff62bd5ea0315f7546ecac368"></a><!-- doxytag: member="itk::AffineTransform::m_ReferenceCountLock" ref="b44ec95ff62bd5ea0315f7546ecac368" args="" -->
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          <td class="memname"><a class="el" href="classitk_1_1SimpleFastMutexLock.html">SimpleFastMutexLock</a> <a class="el" href="classitk_1_1LightObject.html#b44ec95ff62bd5ea0315f7546ecac368">itk::LightObject::m_ReferenceCountLock</a><code> [mutable, protected, inherited]</code>          </td>
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Mutex lock to protect modification to the reference count 
<p>Definition at line <a class="el" href="itkLightObject_8h_source.html#l00147">147</a> of file <a class="el" href="itkLightObject_8h_source.html">itkLightObject.h</a>.</p>

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<hr>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="itkAffineTransform_8h_source.html">itkAffineTransform.h</a></ul>
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