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<h1>itkBSplineKernelFunction.h</h1><a href="itkBSplineKernelFunction_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 & Registration Toolkit</span>
<a name="l00004"></a>00004 <span class="comment"> Module: $RCSfile: itkBSplineKernelFunction.h,v $</span>
<a name="l00005"></a>00005 <span class="comment"> Language: C++</span>
<a name="l00006"></a>00006 <span class="comment"> Date: $Date: 2006-03-18 20:13:35 $</span>
<a name="l00007"></a>00007 <span class="comment"> Version: $Revision: 1.7 $</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 <span class="preprocessor">#ifndef __itkBSplineKernelFunction_h</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor">#define __itkBSplineKernelFunction_h</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span>
<a name="l00020"></a>00020 <span class="preprocessor">#include "<a class="code" href="itkKernelFunction_8h.html">itkKernelFunction.h</a>"</span>
<a name="l00021"></a>00021 <span class="preprocessor">#include "vnl/vnl_math.h"</span>
<a name="l00022"></a>00022
<a name="l00023"></a>00023 <span class="keyword">namespace </span>itk
<a name="l00024"></a>00024 {
<a name="l00025"></a>00025
<a name="l00041"></a>00041 <span class="keyword">template</span> <<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> VSplineOrder = 3>
<a name="l00042"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html">00042</a> <span class="keyword">class </span><a class="code" href="itkWin32Header_8h.html#7d4384322557205d75f0719c012dded6">ITK_EXPORT</a> <a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">BSplineKernelFunction</a> : <span class="keyword">public</span> <a class="code" href="classitk_1_1KernelFunction.html" title="Kernel used for density estimation and nonparameteric regression.">KernelFunction</a>
<a name="l00043"></a>00043 {
<a name="l00044"></a>00044 <span class="keyword">public</span>:
<a name="l00046"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#64776f7a08a6ae2c57ab27c77e190703">00046</a> <span class="keyword">typedef</span> <a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">BSplineKernelFunction</a> <a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">Self</a>;
<a name="l00047"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#65110a02071d19f343c763c6a8b50ad8">00047</a> <span class="keyword">typedef</span> <a class="code" href="classitk_1_1KernelFunction.html" title="Kernel used for density estimation and nonparameteric regression.">KernelFunction</a> <a class="code" href="classitk_1_1KernelFunction.html" title="Kernel used for density estimation and nonparameteric regression.">Superclass</a>;
<a name="l00048"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#4ec0a722693e7087f17ba6d1b91daae7">00048</a> <span class="keyword">typedef</span> <a class="code" href="classitk_1_1SmartPointer.html">SmartPointer<Self></a> <a class="code" href="classitk_1_1SmartPointer.html">Pointer</a>;
<a name="l00049"></a>00049
<a name="l00051"></a>00051 <a class="code" href="itkMacro_8h.html#0fdc15685afa271857c57e7cd482f30c">itkNewMacro</a>(<a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">Self</a>);
<a name="l00052"></a>00052
<a name="l00054"></a>00054 <a class="code" href="itkMacro_8h.html#574c1f86661d409dd32c742307a0e96a">itkTypeMacro</a>(<a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">BSplineKernelFunction</a>, <a class="code" href="classitk_1_1KernelFunction.html" title="Kernel used for density estimation and nonparameteric regression.">KernelFunction</a>);
<a name="l00055"></a>00055
<a name="l00057"></a>00057 <a class="code" href="itkMacro_8h.html#1905cf6b2e88235996fa7ff73b2fb0eb">itkStaticConstMacro</a>(SplineOrder, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, VSplineOrder);
<a name="l00058"></a>00058
<a name="l00060"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#7fcf0c801322ef1ca0025ce791a460d4">00060</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate( <span class="keyword">const</span> <span class="keywordtype">double</span> & u )<span class="keyword"> const</span>
<a name="l00061"></a>00061 <span class="keyword"> </span>{
<a name="l00062"></a>00062 <span class="keywordflow">return</span> this->Evaluate( Dispatch<VSplineOrder>(), u );
<a name="l00063"></a>00063 }
<a name="l00064"></a>00064
<a name="l00065"></a>00065 <span class="keyword">protected</span>:
<a name="l00066"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#f2ab3dae49a7e59a17b6fffbba3d029f">00066</a> <a class="code" href="classitk_1_1BSplineKernelFunction.html#f2ab3dae49a7e59a17b6fffbba3d029f">BSplineKernelFunction</a>(){};
<a name="l00067"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#bdf81c39a2e3143ec8360420db7f8cc5">00067</a> <a class="code" href="classitk_1_1BSplineKernelFunction.html#bdf81c39a2e3143ec8360420db7f8cc5">~BSplineKernelFunction</a>(){};
<a name="l00068"></a><a class="code" href="classitk_1_1BSplineKernelFunction.html#d460194cb18ef598234ebd49fee2e6e9">00068</a> <span class="keywordtype">void</span> <a class="code" href="namespaceHardConnectedComponentImageFilter.html#920ae03048a5ad715d803ca2e92b52de">PrintSelf</a>(std::ostream& os, <a class="code" href="classitk_1_1Indent.html" title="Control indentation during Print() invocation.">Indent</a> indent)<span class="keyword"> const</span>
<a name="l00069"></a>00069 <span class="keyword"> </span>{
<a name="l00070"></a>00070 <a class="code" href="namespaceHardConnectedComponentImageFilter.html#920ae03048a5ad715d803ca2e92b52de">Superclass::PrintSelf</a>( os, indent );
<a name="l00071"></a>00071 os << indent << <span class="stringliteral">"Spline Order: "</span> << SplineOrder << std::endl;
<a name="l00072"></a>00072 }
<a name="l00073"></a>00073
<a name="l00074"></a>00074 <span class="keyword">private</span>:
<a name="l00075"></a>00075 <a class="code" href="classitk_1_1BSplineKernelFunction.html" title="BSpline kernel used for density estimation and nonparameteric regression.">BSplineKernelFunction</a>(<span class="keyword">const</span> <a class="code" href="namespaceHardConnectedComponentImageFilter.html#ac7d0120fe5292cdcdddb6163b8cb150">Self</a>&); <span class="comment">//purposely not implemented</span>
<a name="l00076"></a>00076 <span class="keywordtype">void</span> operator=(<span class="keyword">const</span> <a class="code" href="namespaceHardConnectedComponentImageFilter.html#ac7d0120fe5292cdcdddb6163b8cb150">Self</a>&); <span class="comment">//purposely not implemented</span>
<a name="l00077"></a>00077
<a name="l00079"></a>00079 <span class="keyword">struct </span>DispatchBase {};
<a name="l00080"></a>00080 <span class="keyword">template</span><<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>>
<a name="l00081"></a>00081 <span class="keyword">struct </span>Dispatch : DispatchBase {};
<a name="l00082"></a>00082
<a name="l00084"></a>00084 <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate (<span class="keyword">const</span> Dispatch<0>&, <span class="keyword">const</span> <span class="keywordtype">double</span> & u)<span class="keyword"> const</span>
<a name="l00085"></a>00085 <span class="keyword"> </span>{
<a name="l00086"></a>00086
<a name="l00087"></a>00087 <span class="keywordtype">double</span> absValue = vnl_math_abs( u );
<a name="l00088"></a>00088
<a name="l00089"></a>00089 <span class="keywordflow">if</span> ( absValue < 0.5 )
<a name="l00090"></a>00090 {
<a name="l00091"></a>00091 <span class="keywordflow">return</span> 1.0;
<a name="l00092"></a>00092 }
<a name="l00093"></a>00093 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( absValue == 0.5 )
<a name="l00094"></a>00094 {
<a name="l00095"></a>00095 <span class="keywordflow">return</span> 0.5;
<a name="l00096"></a>00096 }
<a name="l00097"></a>00097 <span class="keywordflow">else</span>
<a name="l00098"></a>00098 {
<a name="l00099"></a>00099 <span class="keywordflow">return</span> 0.0;
<a name="l00100"></a>00100 }
<a name="l00101"></a>00101
<a name="l00102"></a>00102 }
<a name="l00103"></a>00103
<a name="l00105"></a>00105 <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate ( <span class="keyword">const</span> Dispatch<1>&, <span class="keyword">const</span> <span class="keywordtype">double</span>& u)<span class="keyword"> const</span>
<a name="l00106"></a>00106 <span class="keyword"> </span>{
<a name="l00107"></a>00107
<a name="l00108"></a>00108 <span class="keywordtype">double</span> absValue = vnl_math_abs( u );
<a name="l00109"></a>00109
<a name="l00110"></a>00110 <span class="keywordflow">if</span> ( absValue < 1.0 )
<a name="l00111"></a>00111 {
<a name="l00112"></a>00112 <span class="keywordflow">return</span> 1.0 - absValue;
<a name="l00113"></a>00113 }
<a name="l00114"></a>00114 <span class="keywordflow">else</span>
<a name="l00115"></a>00115 {
<a name="l00116"></a>00116 <span class="keywordflow">return</span> 0.0;
<a name="l00117"></a>00117 }
<a name="l00118"></a>00118
<a name="l00119"></a>00119 }
<a name="l00120"></a>00120
<a name="l00122"></a>00122 <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate ( <span class="keyword">const</span> Dispatch<2>&, <span class="keyword">const</span> <span class="keywordtype">double</span>& u)<span class="keyword"> const</span>
<a name="l00123"></a>00123 <span class="keyword"> </span>{
<a name="l00124"></a>00124
<a name="l00125"></a>00125 <span class="keywordtype">double</span> absValue = vnl_math_abs( u );
<a name="l00126"></a>00126
<a name="l00127"></a>00127 <span class="keywordflow">if</span> ( absValue < 0.5 )
<a name="l00128"></a>00128 {
<a name="l00129"></a>00129 <span class="keywordflow">return</span> 0.75 - vnl_math_sqr( absValue );
<a name="l00130"></a>00130 }
<a name="l00131"></a>00131 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( absValue < 1.5 )
<a name="l00132"></a>00132 {
<a name="l00133"></a>00133 <span class="keywordflow">return</span> ( 9.0 - 12.0 * absValue + 4.0 * vnl_math_sqr( absValue ) ) / 8.0;
<a name="l00134"></a>00134 }
<a name="l00135"></a>00135 <span class="keywordflow">else</span>
<a name="l00136"></a>00136 {
<a name="l00137"></a>00137 <span class="keywordflow">return</span> 0.0;
<a name="l00138"></a>00138 }
<a name="l00139"></a>00139
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141
<a name="l00143"></a>00143 <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate ( <span class="keyword">const</span> Dispatch<3>&, <span class="keyword">const</span> <span class="keywordtype">double</span>& u)<span class="keyword"> const</span>
<a name="l00144"></a>00144 <span class="keyword"> </span>{
<a name="l00145"></a>00145
<a name="l00146"></a>00146 <span class="keywordtype">double</span> absValue = vnl_math_abs( u );
<a name="l00147"></a>00147 <span class="keywordtype">double</span> sqrValue = vnl_math_sqr( u );
<a name="l00148"></a>00148
<a name="l00149"></a>00149 <span class="keywordflow">if</span> ( absValue < 1.0 )
<a name="l00150"></a>00150 {
<a name="l00151"></a>00151 <span class="keywordflow">return</span> ( 4.0 - 6.0 * sqrValue + 3.0 * sqrValue * absValue ) / 6.0;
<a name="l00152"></a>00152 }
<a name="l00153"></a>00153 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( absValue < 2.0 )
<a name="l00154"></a>00154 {
<a name="l00155"></a>00155 <span class="keywordflow">return</span> ( 8.0 - 12 * absValue + 6.0 * sqrValue -
<a name="l00156"></a>00156 sqrValue * absValue ) / 6.0;
<a name="l00157"></a>00157 }
<a name="l00158"></a>00158 <span class="keywordflow">else</span>
<a name="l00159"></a>00159 {
<a name="l00160"></a>00160 <span class="keywordflow">return</span> 0.0;
<a name="l00161"></a>00161 }
<a name="l00162"></a>00162
<a name="l00163"></a>00163 }
<a name="l00164"></a>00164
<a name="l00166"></a>00166 <span class="keyword">inline</span> <span class="keywordtype">double</span> Evaluate ( <span class="keyword">const</span> DispatchBase&, <span class="keyword">const</span> <span class="keywordtype">double</span>&)<span class="keyword"> const</span>
<a name="l00167"></a>00167 <span class="keyword"> </span>{
<a name="l00168"></a>00168 <a class="code" href="itkMacro_8h.html#c51de1a715471e7fd0f2e481a70fa1f8">itkExceptionMacro</a>(<span class="stringliteral">"Evaluate not implemented for spline\</span>
<a name="l00169"></a>00169 <span class="stringliteral"> order "</span> << SplineOrder);
<a name="l00170"></a>00170 <span class="keywordflow">return</span> 0.0; <span class="comment">// This is to avoid compiler warning about missing </span>
<a name="l00171"></a>00171 <span class="comment">// return statement. It should never be evaluated.</span>
<a name="l00172"></a>00172 }
<a name="l00174"></a>00174
<a name="l00175"></a>00175 };
<a name="l00176"></a>00176
<a name="l00177"></a>00177
<a name="l00178"></a>00178 } <span class="comment">// end namespace itk</span>
<a name="l00179"></a>00179
<a name="l00180"></a>00180 <span class="preprocessor">#endif</span>
<a name="l00181"></a>00181 <span class="preprocessor"></span>
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