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doxygen/latest/html/ImageRegistrationMethodBSpline2_2ImageRegistrationMethodBSpline2_8cs-example.html

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<div class="line"> </div>
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<div class="line"> <span class="keyword">class </span>MultiResolutionIterationUpdate : <a class="code hl_class" href="classitk_1_1simple_1_1Command.html">Command</a></div>
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<div class="line"> {</div>
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<div class="line"> <span class="keyword">private</span> <a class="code hl_class" href="classitk_1_1simple_1_1ImageRegistrationMethod.html">ImageRegistrationMethod</a> m_Method;</div>
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<div class="line"> </div>
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<div class="line"> <span class="keyword">public</span> MultiResolutionIterationUpdate(<a class="code hl_class" href="classitk_1_1simple_1_1ImageRegistrationMethod.html">ImageRegistrationMethod</a> m)</div>
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<div class="line"> <span class="keyword">public</span> MultiResolutionIterationUpdate()</div>
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<div class="line"> {</div>
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<div class="line"> m_Method = m;</div>
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<div class="line"> }</div>
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<div class="line"> </div>
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<div class="line"> <span class="keyword">public</span> <span class="keyword">override</span> <span class="keywordtype">void</span> Execute()</div>
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<div class="line"> IterationUpdate cmd1 = <span class="keyword">new</span> IterationUpdate(R);</div>
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<div class="line"> R.<a id="a16" name="a16"></a><a class="code hl_function" href="classitk_1_1simple_1_1ProcessObject.html#a2199e5cca19b45d504676a595e1f6cfd">AddCommand</a>(<a class="code hl_enumeration" href="namespaceitk_1_1simple.html#aa7399868984d99493c5a307cce373ace">EventEnum</a>.sitkIterationEvent, cmd1);</div>
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<div class="line"> </div>
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<div class="line"> MultiResolutionIterationUpdate cmd2 = <span class="keyword">new</span> MultiResolutionIterationUpdate(R);</div>
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<div class="line"> MultiResolutionIterationUpdate cmd2 = <span class="keyword">new</span> MultiResolutionIterationUpdate();</div>
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<div class="line"> R.<a class="code hl_function" href="classitk_1_1simple_1_1ProcessObject.html#a2199e5cca19b45d504676a595e1f6cfd">AddCommand</a>(<a class="code hl_enumeration" href="namespaceitk_1_1simple.html#aa7399868984d99493c5a307cce373ace">EventEnum</a>.sitkMultiResolutionIterationEvent, cmd2);</div>
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<div class="line"> </div>
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<div class="line"> <a class="code hl_class" href="classitk_1_1simple_1_1Transform.html">Transform</a> outTx = R.<a id="a17" name="a17"></a><a class="code hl_function" href="classitk_1_1simple_1_1ImageRegistrationMethod.html#a3ba46dbf038828c8f2952875b8f6e0de">Execute</a>(fixedImage, movingImage);</div>

doxygen/latest/html/build_text.js

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$(function(){
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document.getElementById("datetime").textContent = "Fri, 15 Aug 2025 07:02:21 +0000"
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document.getElementById("datetime").textContent = "Sun, 17 Aug 2025 06:59:41 +0000"
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document.getElementById("projectnumber").textContent = "3.0.0.dev"
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});

doxygen/latest/html/classitk_1_1simple_1_1AntiAliasBinaryImageFilter.html

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<dl class="section user"><dt></dt><dd>The binary volume (filter input) is used as a set of constraints in an iterative relaxation process of an estimated ND surface. The surface is described implicitly as the zero level set of a volume \( \phi \) and allowed to deform under curvature flow. A set of constraints is imposed on this movement as follows:</dd></dl>
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<dl class="section user"><dt></dt><dd><p class="formulaDsp">
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\[ u_{i,j,k}^{n+1} = \left\{ \begin{array}{ll} \mbox{max} (u_{i,j,k}^{n} + \Delta t H_{i,j,k}^{n}, 0) &amp;
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\mbox{\f$B_{i,j,k} = 1\f$} \\ \mbox{min} (u_{i,j,k}^{n} + \Delta t H_{i,j,k}^{n}, 0) &amp; \mbox{\f$B_{i,j,k} = -1\f$}
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\end{array}\right. \]
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\mbox{\f$B_{i,j,k}
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= 1\f$} \\ \mbox{min} (u_{i,j,k}^{n} + \Delta t H_{i,j,k}^{n}, 0) &amp; \mbox{\f$B_{i,j,k} = -1\f$} \end{array}\right.
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\]
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</p>
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</dd></dl>
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<dl class="section user"><dt></dt><dd>where \( u_{i,j,k}^{n} \) is the value of \( \phi \) at discrete index \( (i,j,k) \) and iteration \( n \) , \( H \) is the gradient magnitude times mean curvature of \( \phi \) , and \( B \) is the binary input volume, with 1 denoting an inside pixel and -1 denoting an outside pixel.</dd></dl>

doxygen/latest/html/classitk_1_1simple_1_1DICOMOrientImageFilter.html

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<p>An ITK image with an identity direction cosine matrix is in LPS (Left, Posterior, Superior) orientation as defined by the DICOM standard.</p>
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<p class="formulaDsp">
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\[ LPS = \begin{Bmatrix} from\ right\ to\ \textbf{L}eft \\ from\ anterior\ towards\ \textbf{P}osterior \\ from\
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inferior\ towards\ \textbf{S}uperior \end{Bmatrix} \]
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inferior\
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towards\ \textbf{S}uperior \end{Bmatrix} \]
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</p>
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<p>The output orientation is specified with SetDesiredCoordinateOrientation. The input coordinate orientation is computed from the input image's direction cosine matrix. </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="namespaceitk_1_1simple.html#a0ca62b91b4bb626fd9ef0b2f283660d7" title="Permute axes and flip images as needed to obtain an approximation to the desired orientation.">itk::simple::DICOMOrient</a> for the procedural interface </dd>
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<p> The output orientation is specified with SetDesiredCoordinateOrientation. The input coordinate orientation is computed from the input image's direction cosine matrix. </p><dl class="section see"><dt>See also</dt><dd><a class="el" href="namespaceitk_1_1simple.html#a0ca62b91b4bb626fd9ef0b2f283660d7" title="Permute axes and flip images as needed to obtain an approximation to the desired orientation.">itk::simple::DICOMOrient</a> for the procedural interface </dd>
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<dd>
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itk::DICOMOrientImageFilter for the Doxygen on the original ITK class. </dd></dl>
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doxygen/latest/html/classitk_1_1simple_1_1ObjectnessMeasureImageFilter.html

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<p>The enhancement is based on the eigenvalues of the Hessian matrix. For the Frangi's vesselness case were M=1 and N=3 we have the 3 eigenvalues such that \( | \lambda_1 | &lt; | \lambda_2 | &lt; |\lambda_3 | \) . The formula follows:</p>
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<p class="formulaDsp">
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\[ R_A = \frac{|\lambda_2|}{|\lambda_3|}, \; R_B = \frac{|\lambda_2|}{|\lambda_2\lambda_3|}, \; S =
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\sqrt{\lambda_1^2+\lambda_2^2+\lambda_3^2} \]
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\sqrt{\lambda_1^2+\lambda_2^2+\lambda_3^2}
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\]
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</p>
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<p class="formulaDsp">
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\[ V_{\sigma}= \begin{cases} (1-e^{-\frac{R_A^2}{2\alpha^2}}) \cdot
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e^{\frac{R_B^2}{2\beta^2}} \cdot (1-e^{-\frac{S^2}{2\gamma^2}}) &amp; \text{if } \lambda_2&lt;0 \text{ and } \lambda_3&lt;0
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\text{,}\\ 0 &amp; \text{otherwise} \end{cases} \]
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\[ V_{\sigma}= \begin{cases} (1-e^{-\frac{R_A^2}{2\alpha^2}}) \cdot e^{\frac{R_B^2}{2\beta^2}} \cdot
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(1-e^{-\frac{S^2}{2\gamma^2}}) &amp; \text{if } \lambda_2&lt;0 \text{ and } \lambda_3&lt;0 \text{,}\\ 0 &amp; \text{otherwise}
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\end{cases} \]
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</p>
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<dl class="section user"><dt>References</dt><dd>Antiga, L. Generalizing vesselness with respect to dimensionality and shape. <a href="https://hdl.handle.net/1926/576">https://hdl.handle.net/1926/576</a></dd></dl>
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<dl class="section user"><dt>References</dt><dd>Antiga, L. Generalizing vesselness with respect to dimensionality and shape. <a href="https://hdl.handle.net/1926/576">https://hdl.handle.net/1926/576</a></dd></dl>
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<dl class="section user"><dt></dt><dd>Frangi, AF, Niessen, WJ, Vincken, KL, &amp; Viergever, MA (1998). Multiscale Vessel Enhancement Filtering. In Wells, WM, Colchester, A, &amp; Delp, S, Editors, MICCAI '98 Medical <a class="el" href="classitk_1_1simple_1_1Image.html" title="The Image class for SimpleITK.">Image</a> Computing and Computer-Assisted Intervention, Lecture Notes in Computer Science, pages 130-137, Springer Verlag, 1998.</dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="elRef" href="https://www.itk.org/Doxygen/html/classitk_1_1HessianToObjectnessMeasureImageFilter.html">itk::HessianToObjectnessMeasureImageFilter</a> </dd>
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<dd>
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