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<h1>itkAffineTransform.h</h1><a href="itkAffineTransform_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*=========================================================================</span>
<a name="l00002"></a>00002 <span class="comment"></span>
<a name="l00003"></a>00003 <span class="comment">  Program:   Insight Segmentation &amp; Registration Toolkit</span>
<a name="l00004"></a>00004 <span class="comment">  Module:    $RCSfile: itkAffineTransform.h,v $</span>
<a name="l00005"></a>00005 <span class="comment">  Language:  C++</span>
<a name="l00006"></a>00006 <span class="comment">  Date:      $Date: 2008-10-07 08:18:58 $</span>
<a name="l00007"></a>00007 <span class="comment">  Version:   $Revision: 1.69 $</span>
<a name="l00008"></a>00008 <span class="comment"></span>
<a name="l00009"></a>00009 <span class="comment">  Copyright (c) Insight Software Consortium. All rights reserved.</span>
<a name="l00010"></a>00010 <span class="comment">  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.</span>
<a name="l00011"></a>00011 <span class="comment"></span>
<a name="l00012"></a>00012 <span class="comment">     This software is distributed WITHOUT ANY WARRANTY; without even </span>
<a name="l00013"></a>00013 <span class="comment">     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR </span>
<a name="l00014"></a>00014 <span class="comment">     PURPOSE.  See the above copyright notices for more information.</span>
<a name="l00015"></a>00015 <span class="comment"></span>
<a name="l00016"></a>00016 <span class="comment">=========================================================================*/</span>
<a name="l00017"></a>00017 
<a name="l00018"></a>00018 <span class="preprocessor">#ifndef __itkAffineTransform_h</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span><span class="preprocessor">#define __itkAffineTransform_h</span>
<a name="l00020"></a>00020 <span class="preprocessor"></span>
<a name="l00021"></a>00021 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00022"></a>00022 
<a name="l00023"></a>00023 <span class="preprocessor">#include "<a class="code" href="itkMatrix_8h.html">itkMatrix.h</a>"</span>
<a name="l00024"></a>00024 <span class="preprocessor">#include "<a class="code" href="itkMatrixOffsetTransformBase_8h.html">itkMatrixOffsetTransformBase.h</a>"</span>
<a name="l00025"></a>00025 <span class="preprocessor">#include "<a class="code" href="itkExceptionObject_8h.html">itkExceptionObject.h</a>"</span>
<a name="l00026"></a>00026 <span class="preprocessor">#include "<a class="code" href="itkMacro_8h.html">itkMacro.h</a>"</span>
<a name="l00027"></a>00027 
<a name="l00028"></a>00028 <span class="keyword">namespace </span>itk
<a name="l00029"></a>00029 {
<a name="l00030"></a>00030 
<a name="l00031"></a>00031 
<a name="l00104"></a>00104 
<a name="l00105"></a>00105 <span class="keyword">template</span> &lt;
<a name="l00106"></a>00106  <span class="keyword">class </span>TScalarType=double,         <span class="comment">// Data type for scalars </span>
<a name="l00107"></a>00107                                    <span class="comment">//    (e.g. float or double)</span>
<a name="l00108"></a>00108  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions=3&gt;       <span class="comment">// Number of dimensions in the input space</span>
<a name="l00109"></a><a class="code" href="classitk_1_1AffineTransform.html">00109</a> <span class="keyword">class </span><a class="code" href="classitk_1_1AffineTransform.html">AffineTransform</a> 
<a name="l00110"></a>00110 : <span class="keyword">public</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html">MatrixOffsetTransformBase</a>&lt; TScalarType, NDimensions, NDimensions &gt;
<a name="l00111"></a>00111 {
<a name="l00112"></a>00112 <span class="keyword">public</span>:
<a name="l00114"></a><a class="code" href="classitk_1_1AffineTransform.html#448071ad4ed2232dd9ce64b984f746d8">00114</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1AffineTransform.html">AffineTransform</a>                           <a class="code" href="classitk_1_1AffineTransform.html">Self</a>;
<a name="l00115"></a>00115   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html">MatrixOffsetTransformBase</a>&lt; TScalarType,
<a name="l00116"></a>00116                                      NDimensions,
<a name="l00117"></a><a class="code" href="classitk_1_1AffineTransform.html#b38eb704f77cd8c0df2030e0d50c37fd">00117</a>                                      NDimensions &gt;  <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html">Superclass</a>;
<a name="l00118"></a><a class="code" href="classitk_1_1AffineTransform.html#e75982638011c846c2a3c001ffcb5dd3">00118</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SmartPointer.html">SmartPointer&lt;Self&gt;</a>                        <a class="code" href="classitk_1_1SmartPointer.html">Pointer</a>;
<a name="l00119"></a><a class="code" href="classitk_1_1AffineTransform.html#9eeef8c9c33d60883c97932c133e2ca2">00119</a>   <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SmartPointer.html">SmartPointer&lt;const Self&gt;</a>                  <a class="code" href="classitk_1_1SmartPointer.html">ConstPointer</a>;
<a name="l00120"></a>00120 
<a name="l00122"></a>00122   <a class="code" href="itkMacro_8h.html#574c1f86661d409dd32c742307a0e96a">itkTypeMacro</a>( <a class="code" href="classitk_1_1AffineTransform.html">AffineTransform</a>, <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html">MatrixOffsetTransformBase</a> );
<a name="l00123"></a>00123 
<a name="l00125"></a>00125   <a class="code" href="itkMacro_8h.html#0fdc15685afa271857c57e7cd482f30c">itkNewMacro</a>( <a class="code" href="classitk_1_1AffineTransform.html">Self</a> );
<a name="l00126"></a>00126 
<a name="l00128"></a>00128   <a class="code" href="classitk_1_1AffineTransform.html#1cc3c44cfc2774fc6efaa32557b563bc">itkStaticConstMacro</a>(InputSpaceDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, NDimensions);
<a name="l00129"></a>00129   <a class="code" href="classitk_1_1AffineTransform.html#1cc3c44cfc2774fc6efaa32557b563bc">itkStaticConstMacro</a>(OutputSpaceDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, NDimensions);
<a name="l00130"></a>00130   <a class="code" href="classitk_1_1AffineTransform.html#1cc3c44cfc2774fc6efaa32557b563bc">itkStaticConstMacro</a>(SpaceDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, NDimensions);
<a name="l00131"></a>00131   <a class="code" href="classitk_1_1AffineTransform.html#1cc3c44cfc2774fc6efaa32557b563bc">itkStaticConstMacro</a>(ParametersDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>,
<a name="l00132"></a>00132                                            NDimensions*(NDimensions+1));
<a name="l00134"></a>00134 
<a name="l00135"></a>00135   
<a name="l00137"></a><a class="code" href="classitk_1_1AffineTransform.html#80b08a56e6d6e2cc2623e5ac284a7635">00137</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Array.html">Superclass::ParametersType</a>         <a class="code" href="classitk_1_1Array.html">ParametersType</a>;
<a name="l00138"></a><a class="code" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">00138</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#9fb2ca287b41ee9535727cef4a591359">Superclass::JacobianType</a>           <a class="code" href="classitk_1_1AffineTransform.html#8e52b56f8519812af7dc452fedc58029">JacobianType</a>;
<a name="l00139"></a><a class="code" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">00139</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#48ea486858b11578c573ed2ae5049a02">Superclass::ScalarType</a>             <a class="code" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a>;
<a name="l00140"></a><a class="code" href="classitk_1_1AffineTransform.html#378d3f44813d2d3a591a564bbacb5697">00140</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Point.html">Superclass::InputPointType</a>         <a class="code" href="classitk_1_1Point.html">InputPointType</a>;
<a name="l00141"></a><a class="code" href="classitk_1_1AffineTransform.html#774668199574642f36b6101c8a95e738">00141</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">Superclass::OutputPointType</a>        <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">OutputPointType</a>;
<a name="l00142"></a><a class="code" href="classitk_1_1AffineTransform.html#8edb409d76a9abce279eda2bec498539">00142</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Vector.html">Superclass::InputVectorType</a>        <a class="code" href="classitk_1_1Vector.html">InputVectorType</a>;
<a name="l00143"></a><a class="code" href="classitk_1_1AffineTransform.html#33cad0d368c406d850f5f16869697860">00143</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Vector.html">Superclass::OutputVectorType</a>       <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a>;
<a name="l00144"></a><a class="code" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">00144</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#b702d697470ff52439290fa74340df57">Superclass::InputVnlVectorType</a>     <a class="code" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a>;
<a name="l00145"></a><a class="code" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">00145</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#3834e12b5eba107f009c1b9dd9b183dd">Superclass::OutputVnlVectorType</a>    <a class="code" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a>;
<a name="l00146"></a>00146   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">Superclass::InputCovariantVectorType</a> 
<a name="l00147"></a><a class="code" href="classitk_1_1AffineTransform.html#b0c316d2b578651be0d883cbb05403e3">00147</a>                                                       <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">InputCovariantVectorType</a>;
<a name="l00148"></a>00148   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">Superclass::OutputCovariantVectorType</a>
<a name="l00149"></a><a class="code" href="classitk_1_1AffineTransform.html#71a411da439eb6d05651a163ad31c8b2">00149</a>                                                       <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">OutputCovariantVectorType</a>;
<a name="l00150"></a><a class="code" href="classitk_1_1AffineTransform.html#7543c5eece332e1dad63383d3c4fbb4f">00150</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Matrix.html">Superclass::MatrixType</a>             <a class="code" href="classitk_1_1Matrix.html">MatrixType</a>;
<a name="l00151"></a><a class="code" href="classitk_1_1AffineTransform.html#2038510d1e843f7643a35ffe79aaf3f1">00151</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Matrix.html">Superclass::InverseMatrixType</a>      <a class="code" href="classitk_1_1Matrix.html">InverseMatrixType</a>;
<a name="l00152"></a><a class="code" href="classitk_1_1AffineTransform.html#4d914ac7f6668b988bba2dd1b6201163">00152</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Point.html">Superclass::CenterType</a>             <a class="code" href="classitk_1_1Point.html">CenterType</a>;
<a name="l00153"></a><a class="code" href="classitk_1_1AffineTransform.html#3e7b98307ae10441a548e68d4753a3a0">00153</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Vector.html">Superclass::OffsetType</a>             <a class="code" href="classitk_1_1Vector.html">OffsetType</a>;
<a name="l00154"></a><a class="code" href="classitk_1_1AffineTransform.html#da4996f0bc5ce7ced65cd04864d04920">00154</a>   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classitk_1_1Vector.html">Superclass::TranslationType</a>        <a class="code" href="classitk_1_1Vector.html">TranslationType</a>;
<a name="l00155"></a>00155 
<a name="l00162"></a>00162   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#c2de1aeeaa5bfa49b5e84e6ccadb09be">Translate</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset, <span class="keywordtype">bool</span> pre=0);
<a name="l00163"></a>00163 
<a name="l00175"></a>00175   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#411e526a8f75ca023a5c95360568b69b">Scale</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;factor, <span class="keywordtype">bool</span> pre=0);
<a name="l00176"></a>00176   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#411e526a8f75ca023a5c95360568b69b">Scale</a>(<span class="keyword">const</span> TScalarType &amp;factor, <span class="keywordtype">bool</span> pre=0);
<a name="l00178"></a>00178 
<a name="l00194"></a>00194   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#30b24a0ddaa653cbf7c89e4bbe6269b4">Rotate</a>(<span class="keywordtype">int</span> axis1, <span class="keywordtype">int</span> axis2, TScalarType angle, <span class="keywordtype">bool</span> pre=0);
<a name="l00196"></a>00196 
<a name="l00210"></a>00210   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#8f72aa7f091bb0c66eaa86e194cb0a9e">Rotate2D</a>(TScalarType angle, <span class="keywordtype">bool</span> pre=0);
<a name="l00211"></a>00211 
<a name="l00225"></a>00225   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#c27f9eeee782358406492ba66bbc3f46">Rotate3D</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;axis, TScalarType angle, <span class="keywordtype">bool</span> pre=0);
<a name="l00226"></a>00226 
<a name="l00238"></a>00238   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#5b313b2351cc9a85d78bb831e94d0f25">Shear</a>(<span class="keywordtype">int</span> axis1, <span class="keywordtype">int</span> axis2, TScalarType coef, <span class="keywordtype">bool</span> pre=0);
<a name="l00239"></a>00239 
<a name="l00248"></a>00248   <span class="keyword">inline</span> <a class="code" href="classitk_1_1Point.html">InputPointType</a>   <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">OutputPointType</a>  &amp;point ) <span class="keyword">const</span>;
<a name="l00249"></a>00249   <span class="keyword">inline</span> <a class="code" href="classitk_1_1Vector.html">InputVectorType</a>  <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;<a class="code" href="classstd_1_1vector.html">vector</a>) <span class="keyword">const</span>;
<a name="l00250"></a>00250   <span class="keyword">inline</span> <a class="code" href="classitk_1_1AffineTransform.html#716c9e03a15d7c913de9035ee4d1528c">InputVnlVectorType</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(
<a name="l00251"></a>00251                                      <span class="keyword">const</span> <a class="code" href="classitk_1_1AffineTransform.html#3a1ce9a7508236a09897736f10e92eb3">OutputVnlVectorType</a> &amp;<a class="code" href="classstd_1_1vector.html">vector</a>) <span class="keyword">const</span>;
<a name="l00252"></a>00252   <span class="keyword">inline</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">InputCovariantVectorType</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(
<a name="l00253"></a>00253                               <span class="keyword">const</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">OutputCovariantVectorType</a> &amp;<a class="code" href="classstd_1_1vector.html">vector</a>) <span class="keyword">const</span>;
<a name="l00255"></a>00255 
<a name="l00265"></a>00265   <span class="keyword">inline</span> <a class="code" href="classitk_1_1Point.html">InputPointType</a> <a class="code" href="classitk_1_1AffineTransform.html#c0ac88749969c3b89cf1e84bf52c9061">BackTransformPoint</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">OutputPointType</a>  &amp;point) <span class="keyword">const</span>;
<a name="l00266"></a>00266 
<a name="l00278"></a>00278   <a class="code" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a> <a class="code" href="classitk_1_1AffineTransform.html#25a90751f01088f283758d35b1e67226">Metric</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1AffineTransform.html">Self</a> * other) <span class="keyword">const</span>;
<a name="l00279"></a>00279 
<a name="l00283"></a>00283   <a class="code" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a> <a class="code" href="classitk_1_1AffineTransform.html#25a90751f01088f283758d35b1e67226">Metric</a>(<span class="keywordtype">void</span>) <span class="keyword">const</span>;
<a name="l00284"></a>00284 
<a name="l00285"></a>00285 <span class="keyword">protected</span>:
<a name="l00293"></a>00293   <a class="code" href="classitk_1_1AffineTransform.html#36ed041b456c5f423866b9b0668185bd">AffineTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Matrix.html">MatrixType</a> &amp;matrix,
<a name="l00294"></a>00294                   <span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;offset);
<a name="l00295"></a>00295   <a class="code" href="classitk_1_1AffineTransform.html#36ed041b456c5f423866b9b0668185bd">AffineTransform</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> outputDims,
<a name="l00296"></a>00296                   <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> paramDims);
<a name="l00297"></a>00297   <a class="code" href="classitk_1_1AffineTransform.html#36ed041b456c5f423866b9b0668185bd">AffineTransform</a>();
<a name="l00299"></a>00299 
<a name="l00301"></a>00301   <span class="keyword">virtual</span> <a class="code" href="classitk_1_1AffineTransform.html#8f21a843e6cefc1371f7b2ebb3fb915f">~AffineTransform</a>();
<a name="l00302"></a>00302 
<a name="l00304"></a>00304   <span class="keywordtype">void</span> <a class="code" href="classitk_1_1AffineTransform.html#ec02672ebc5ee82ba29a2a3b223fc5fa">PrintSelf</a>(std::ostream &amp;s, <a class="code" href="classitk_1_1Indent.html" title="Control indentation during Print() invocation.">Indent</a> indent) <span class="keyword">const</span>;
<a name="l00305"></a>00305 
<a name="l00306"></a>00306 <span class="keyword">private</span>:
<a name="l00307"></a>00307 
<a name="l00308"></a>00308   <a class="code" href="classitk_1_1AffineTransform.html#36ed041b456c5f423866b9b0668185bd">AffineTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1AffineTransform.html">Self</a> &amp; other);
<a name="l00309"></a>00309   <span class="keyword">const</span> <a class="code" href="classitk_1_1AffineTransform.html">Self</a> &amp; operator=( <span class="keyword">const</span> <a class="code" href="classitk_1_1AffineTransform.html">Self</a> &amp; );
<a name="l00310"></a>00310 
<a name="l00311"></a>00311 }; <span class="comment">//class AffineTransform</span>
<a name="l00312"></a>00312 
<a name="l00314"></a>00314 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions&gt;
<a name="l00315"></a>00315 <span class="keyword">inline</span>
<a name="l00316"></a>00316 <span class="keyword">typename</span> <a class="code" href="classitk_1_1Vector.html">AffineTransform&lt;TScalarType, NDimensions&gt;::InputVectorType</a>
<a name="l00317"></a>00317 <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">AffineTransform&lt;TScalarType, NDimensions&gt;::</a>
<a name="l00318"></a><a class="code" href="classitk_1_1AffineTransform.html#16e9d35b24b32f7983f13688b0f5b0a7">00318</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Vector.html">OutputVectorType</a> &amp;vect )<span class="keyword"> const </span>
<a name="l00319"></a>00319 <span class="keyword"></span>{
<a name="l00320"></a>00320   <a class="code" href="itkMacro_8h.html#0c47033c6ca9aae1319b1793f4419ada">itkWarningMacro</a>(&lt;&lt;<span class="stringliteral">"BackTransform(): This method is slated to be removed\</span>
<a name="l00321"></a>00321 <span class="stringliteral">   from ITK. Instead, please use GetInverse() to generate an inverse\</span>
<a name="l00322"></a>00322 <span class="stringliteral">   transform and then perform the transform using that inverted transform."</span>);
<a name="l00323"></a>00323   <span class="keywordflow">return</span> this-&gt;<a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">GetInverseMatrix</a>() * vect;
<a name="l00324"></a>00324 }
<a name="l00326"></a>00326 
<a name="l00327"></a>00327 
<a name="l00329"></a>00329 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions&gt;
<a name="l00330"></a>00330 <span class="keyword">inline</span>
<a name="l00331"></a>00331 <span class="keyword">typename</span> <a class="code" href="classitk_1_1AffineTransform.html">AffineTransform&lt;TScalarType, NDimensions&gt;::InputVnlVectorType</a>
<a name="l00332"></a>00332 <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">AffineTransform&lt;TScalarType, NDimensions&gt;::</a>
<a name="l00333"></a><a class="code" href="classitk_1_1AffineTransform.html#7970a9942408c0cc927413bde3b0d913">00333</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> OutputVnlVectorType &amp;vect )<span class="keyword"> const </span>
<a name="l00334"></a>00334 <span class="keyword"></span>{
<a name="l00335"></a>00335   <a class="code" href="itkMacro_8h.html#0c47033c6ca9aae1319b1793f4419ada">itkWarningMacro</a>(&lt;&lt;<span class="stringliteral">"BackTransform(): This method is slated to be removed\</span>
<a name="l00336"></a>00336 <span class="stringliteral">   from ITK. Instead, please use GetInverse() to generate an inverse\</span>
<a name="l00337"></a>00337 <span class="stringliteral">    transform and then perform the transform using that inverted transform."</span>);
<a name="l00338"></a>00338   <span class="keywordflow">return</span> this-&gt;<a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">GetInverseMatrix</a>() * vect;
<a name="l00339"></a>00339 }
<a name="l00341"></a>00341 
<a name="l00342"></a>00342 
<a name="l00344"></a>00344 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions&gt;
<a name="l00345"></a>00345 <span class="keyword">inline</span>
<a name="l00346"></a>00346 <span class="keyword">typename</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">AffineTransform&lt;TScalarType, NDimensions&gt;::InputCovariantVectorType</a>
<a name="l00347"></a>00347 <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">AffineTransform&lt;TScalarType, NDimensions&gt;::</a>
<a name="l00348"></a><a class="code" href="classitk_1_1AffineTransform.html#0a3f22ea5ab03d54010d02da9c1cc6b0">00348</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">OutputCovariantVectorType</a> &amp;vec)<span class="keyword"> const </span>
<a name="l00349"></a>00349 <span class="keyword"></span>{
<a name="l00350"></a>00350   <a class="code" href="itkMacro_8h.html#0c47033c6ca9aae1319b1793f4419ada">itkWarningMacro</a>(&lt;&lt;<span class="stringliteral">"BackTransform(): This method is slated to be removed\</span>
<a name="l00351"></a>00351 <span class="stringliteral">   from ITK. Instead, please use GetInverse() to generate an inverse\</span>
<a name="l00352"></a>00352 <span class="stringliteral">   transform and then perform the transform using that inverted transform."</span>);
<a name="l00353"></a>00353 
<a name="l00354"></a>00354   <a class="code" href="classitk_1_1CovariantVector.html" title="A templated class holding a n-Dimensional covariant vector.">InputCovariantVectorType</a> result;    <span class="comment">// Converted vector</span>
<a name="l00355"></a>00355 
<a name="l00356"></a>00356   <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; NDimensions; i++) 
<a name="l00357"></a>00357     {
<a name="l00358"></a>00358     result[i] = NumericTraits&lt;ScalarType&gt;::Zero;
<a name="l00359"></a>00359     <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j = 0; j &lt; NDimensions; j++) 
<a name="l00360"></a>00360       {
<a name="l00361"></a>00361       result[i] += this-&gt;<a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#078ec7913b57c25da7d9054ae87fd553">GetMatrix</a>()[j][i]*vec[j]; <span class="comment">// Direct matrix transposed</span>
<a name="l00362"></a>00362       }
<a name="l00363"></a>00363     }
<a name="l00364"></a>00364   <span class="keywordflow">return</span> result;
<a name="l00365"></a>00365 }
<a name="l00366"></a>00366 
<a name="l00367"></a>00367 
<a name="l00369"></a>00369 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions&gt;
<a name="l00370"></a>00370 <span class="keyword">inline</span>
<a name="l00371"></a>00371 <span class="keyword">typename</span> <a class="code" href="classitk_1_1Point.html">AffineTransform&lt;TScalarType, NDimensions&gt;::InputPointType</a>
<a name="l00372"></a>00372 <a class="code" href="classitk_1_1AffineTransform.html#c0ac88749969c3b89cf1e84bf52c9061">AffineTransform&lt;TScalarType, NDimensions&gt;::</a>
<a name="l00373"></a><a class="code" href="classitk_1_1AffineTransform.html#c0ac88749969c3b89cf1e84bf52c9061">00373</a> <a class="code" href="classitk_1_1AffineTransform.html#c0ac88749969c3b89cf1e84bf52c9061">BackTransformPoint</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">OutputPointType</a> &amp;point)<span class="keyword"> const</span>
<a name="l00374"></a>00374 <span class="keyword"></span>{
<a name="l00375"></a>00375   <span class="keywordflow">return</span> this-&gt;<a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(point);
<a name="l00376"></a>00376 }
<a name="l00377"></a>00377 
<a name="l00379"></a>00379 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TScalarType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> NDimensions&gt;
<a name="l00380"></a>00380 <span class="keyword">inline</span>
<a name="l00381"></a>00381 <span class="keyword">typename</span> <a class="code" href="classitk_1_1Point.html">AffineTransform&lt;TScalarType, NDimensions&gt;::InputPointType</a>
<a name="l00382"></a>00382 <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">AffineTransform&lt;TScalarType, NDimensions&gt;::</a>
<a name="l00383"></a><a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">00383</a> <a class="code" href="classitk_1_1AffineTransform.html#67f40c2940fac7739d2905461b8f8c17">BackTransform</a>(<span class="keyword">const</span> <a class="code" href="classitk_1_1Point.html" title="A templated class holding a geometric point in n-Dimensional space.">OutputPointType</a> &amp;point)<span class="keyword"> const </span>
<a name="l00384"></a>00384 <span class="keyword"></span>{
<a name="l00385"></a>00385   <a class="code" href="itkMacro_8h.html#0c47033c6ca9aae1319b1793f4419ada">itkWarningMacro</a>(&lt;&lt;<span class="stringliteral">"BackTransform(): This method is slated to be removed\</span>
<a name="l00386"></a>00386 <span class="stringliteral">   from ITK.  Instead, please use GetInverse() to generate an inverse\</span>
<a name="l00387"></a>00387 <span class="stringliteral">   transform and then perform the transform using that inverted transform."</span>);
<a name="l00388"></a>00388   <a class="code" href="classitk_1_1Point.html">InputPointType</a> result;       <span class="comment">// Converted point</span>
<a name="l00389"></a>00389   <a class="code" href="classitk_1_1AffineTransform.html#5d603a601edad41d062713dbe7d15af0">ScalarType</a> temp[NDimensions];
<a name="l00390"></a>00390   <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, j;
<a name="l00392"></a>00392 
<a name="l00393"></a>00393   <span class="keywordflow">for</span> (j = 0; j &lt; NDimensions; j++) 
<a name="l00394"></a>00394     {
<a name="l00395"></a>00395     temp[j] = point[j] - this-&gt;<a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#254e2cbfddb6e349e904720377559d27">GetOffset</a>()[j];
<a name="l00396"></a>00396     }
<a name="l00397"></a>00397 
<a name="l00398"></a>00398   <span class="keywordflow">for</span> (i = 0; i &lt; NDimensions; i++) 
<a name="l00399"></a>00399     {
<a name="l00400"></a>00400     result[i] = 0.0;
<a name="l00401"></a>00401     <span class="keywordflow">for</span> (j = 0; j &lt; NDimensions; j++) 
<a name="l00402"></a>00402       {
<a name="l00403"></a>00403       result[i] += this-&gt;<a class="code" href="classitk_1_1MatrixOffsetTransformBase.html#a27a65671af6ff20929ba5ac5c9773cd">GetInverseMatrix</a>()[i][j]*temp[j];
<a name="l00404"></a>00404       }
<a name="l00405"></a>00405     }
<a name="l00406"></a>00406   <span class="keywordflow">return</span> result;
<a name="l00407"></a>00407 }
<a name="l00408"></a>00408 
<a name="l00409"></a>00409 }  <span class="comment">// namespace itk</span>
<a name="l00410"></a>00410 
<a name="l00411"></a>00411 <span class="comment">// Define instantiation macro for this template.</span>
<a name="l00412"></a><a class="code" href="itkAffineTransform_8h.html#612163a1373d68e458b3b306399a3894">00412</a> <span class="preprocessor">#define ITK_TEMPLATE_AffineTransform(_, EXPORT, x, y) namespace itk { \</span>
<a name="l00413"></a>00413 <span class="preprocessor">  _(2(class EXPORT AffineTransform&lt; ITK_TEMPLATE_2 x &gt;)) \</span>
<a name="l00414"></a>00414 <span class="preprocessor">  namespace Templates { typedef AffineTransform&lt; ITK_TEMPLATE_2 x &gt; \</span>
<a name="l00415"></a>00415 <span class="preprocessor">                                                  AffineTransform##y; } \</span>
<a name="l00416"></a>00416 <span class="preprocessor">  }</span>
<a name="l00417"></a>00417 <span class="preprocessor"></span>
<a name="l00418"></a>00418 <span class="preprocessor">#if ITK_TEMPLATE_EXPLICIT</span>
<a name="l00419"></a>00419 <span class="preprocessor"></span><span class="preprocessor"># include "Templates/itkAffineTransform+-.h"</span>
<a name="l00420"></a>00420 <span class="preprocessor">#endif</span>
<a name="l00421"></a>00421 <span class="preprocessor"></span>
<a name="l00422"></a>00422 <span class="preprocessor">#if ITK_TEMPLATE_TXX</span>
<a name="l00423"></a>00423 <span class="preprocessor"></span><span class="preprocessor"># include "itkAffineTransform.txx"</span>
<a name="l00424"></a>00424 <span class="preprocessor">#endif</span>
<a name="l00425"></a>00425 <span class="preprocessor"></span>
<a name="l00426"></a>00426 <span class="preprocessor">#endif </span><span class="comment">/* __itkAffineTransform_h */</span>
<a name="l00427"></a>00427 
</pre></div></div>
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