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<h1>Image Gradient Filters<br>
<small>
[<a class="el" href="group__ImageFeatureExtraction.html">Image Feature Extraction Filters</a>]</small>
</h1>
<p>
<div class="dynheader">
Collaboration diagram for Image Gradient Filters:</div>
<div class="dynsection">
<center><table><tr><td><img src="group__GradientFilters.png" border="0" alt="" usemap="#group____GradientFilters_map">
<map name="group____GradientFilters_map">
<area shape="rect" id="node1" href="group__ImageEnhancement.html" title="Image Enhancement Filters" alt="" coords="872,5,1080,35"><area shape="rect" id="node2" href="group__Singlethreaded.html" title="Singlethreaded Filters" alt="" coords="892,105,1060,135"><area shape="rect" id="node4" href="group__ImageFeatureExtraction.html" title="Image Feature Extraction Filters" alt="" coords="5,56,245,85"></map></td></tr></table></center>
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<table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Classes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1DeformationFieldJacobianDeterminantFilter.html">itk::DeformationFieldJacobianDeterminantFilter&lt; TInputImage, TRealType, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes a scalar image from a vector image (e.g., deformation field) input, where each output scalar at each pixel is the Jacobian determinant of the vector field at that location. This calculation is only correct if the the vector field has values that are the absolute locations from which to get the new values are to be taken. This implies that the identity vector field (VF) mapping would have values at each location (x) equal to the location itself. VF(x)=x. THIS IS VERY UNUSUAL. The <a class="el" href="classitk_1_1DeformationFieldJacobianDeterminantFilter.html" title="Computes a scalar image from a vector image (e.g., deformation field) input, where...">DeformationFieldJacobianDeterminantFilter</a> computes the proper Jacobian Determinant for a vector field described this way as det[ dT/dx ] = det[ du/dx ].  <a href="classitk_1_1DeformationFieldJacobianDeterminantFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1DifferenceOfGaussiansGradientImageFilter.html">itk::DifferenceOfGaussiansGradientImageFilter&lt; TInputImage, TDataType &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Performs difference-of-gaussians gradient detection.  <a href="classitk_1_1DifferenceOfGaussiansGradientImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1DisplacementFieldJacobianDeterminantFilter.html">itk::DisplacementFieldJacobianDeterminantFilter&lt; TInputImage, TRealType, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes a scalar image from a vector image (e.g., deformation field) input, where each output scalar at each pixel is the Jacobian determinant of the vector field at that location. This calculation is correct in the case where the vector image is a "displacement" from the current location. The computation for the jacobian determinant is: det[ dT/dx ] = det[ I + du/dx ].  <a href="classitk_1_1DisplacementFieldJacobianDeterminantFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1GradientImageFilter.html">itk::GradientImageFilter&lt; TInputImage, TOperatorValueType, TOutputValueType &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the gradient of an image using directional derivatives.  <a href="classitk_1_1GradientImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1GradientMagnitudeImageFilter.html">itk::GradientMagnitudeImageFilter&lt; TInputImage, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the gradient magnitude of an image region at each pixel.  <a href="classitk_1_1GradientMagnitudeImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1GradientMagnitudeRecursiveGaussianImageFilter.html">itk::GradientMagnitudeRecursiveGaussianImageFilter&lt; TInputImage, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the Magnitude of the Gradient of an image by convolution with the first derivative of a Gaussian.  <a href="classitk_1_1GradientMagnitudeRecursiveGaussianImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1GradientRecursiveGaussianImageFilter.html">itk::GradientRecursiveGaussianImageFilter&lt; TInputImage, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the gradient of an image by convolution with the first derivative of a Gaussian.  <a href="classitk_1_1GradientRecursiveGaussianImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1HessianRecursiveGaussianImageFilter.html">itk::HessianRecursiveGaussianImageFilter&lt; TInputImage, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the Hessian matrix of an image by convolution with the Second and <a class="el" href="classCross.html" title="Compute the cross product of two vectors of dimension 3, independently of the type...">Cross</a> derivatives of a Gaussian.  <a href="classitk_1_1HessianRecursiveGaussianImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1LaplacianRecursiveGaussianImageFilter.html">itk::LaplacianRecursiveGaussianImageFilter&lt; TInputImage, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes the Laplacian of an image by convolution with the second derivative of a Gaussian.  <a href="classitk_1_1LaplacianRecursiveGaussianImageFilter.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitk_1_1VectorGradientMagnitudeImageFilter.html">itk::VectorGradientMagnitudeImageFilter&lt; TInputImage, TRealType, TOutputImage &gt;</a></td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Computes a scalar, gradient magnitude image from a multiple channel (pixels are vectors) input.  <a href="classitk_1_1VectorGradientMagnitudeImageFilter.html#_details">More...</a><br></td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
These filters compute local gradients of images. </div>
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