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<h1>itkTriangleHelper.h</h1><a href="itkTriangleHelper_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: itkTriangleHelper.h,v $</span>
<a name="l00005"></a>00005 <span class="comment"> Language: C++</span>
<a name="l00006"></a>00006 <span class="comment"> Date: $Date: 2008-10-06 00:02:06 $</span>
<a name="l00007"></a>00007 <span class="comment"> Version: $Revision: 1.6 $</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 __itkTriangleHelper_h</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor">#define __itkTriangleHelper_h</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span>
<a name="l00020"></a>00020 <span class="preprocessor">#include "<a class="code" href="itkCrossHelper_8h.html">itkCrossHelper.h</a>"</span>
<a name="l00021"></a>00021
<a name="l00022"></a>00022 <span class="keyword">namespace </span>itk
<a name="l00023"></a>00023 {
<a name="l00029"></a>00029 <span class="keyword">template</span>< <span class="keyword">typename</span> TPo<span class="keywordtype">int</span> >
<a name="l00030"></a><a class="code" href="classitk_1_1TriangleHelper.html">00030</a> <span class="keyword">class </span><a class="code" href="classitk_1_1TriangleHelper.html" title="Convenient class for various triangles elements computation in 2D or 3D.">TriangleHelper</a>
<a name="l00031"></a>00031 {
<a name="l00032"></a>00032 <span class="keyword">public</span>:
<a name="l00033"></a><a class="code" href="classitk_1_1TriangleHelper.html#db32741ebf6d9fd12dfb91598be402a2">00033</a> <span class="keyword">typedef</span> <a class="code" href="classitk_1_1TriangleHelper.html" title="Convenient class for various triangles elements computation in 2D or 3D.">TriangleHelper</a> <a class="code" href="classitk_1_1TriangleHelper.html" title="Convenient class for various triangles elements computation in 2D or 3D.">Self</a>;
<a name="l00034"></a><a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">00034</a> <span class="keyword">typedef</span> TPoint <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>;
<a name="l00035"></a><a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">00035</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> PointType::CoordRepType <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a>;
<a name="l00036"></a><a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">00036</a> <span class="keyword">typedef</span> <span class="keyword">typename</span> PointType::VectorType <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a>;
<a name="l00037"></a><a class="code" href="classitk_1_1TriangleHelper.html#b75db68b17beede7ce49f4cfc1de982f">00037</a> <span class="keyword">typedef</span> <a class="code" href="classitk_1_1CrossHelper.html">CrossHelper< VectorType ></a> <a class="code" href="classitk_1_1CrossHelper.html">CrossVectorType</a>;
<a name="l00038"></a>00038
<a name="l00039"></a>00039 <a class="code" href="classitk_1_1TriangleHelper.html#11995c94796248a55f5f9668f6593a77">itkStaticConstMacro</a>( PointDimension, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>, PointType::PointDimension );
<a name="l00040"></a>00040
<a name="l00041"></a><a class="code" href="classitk_1_1TriangleHelper.html#437b7050d0238dada278b46d023cbe72">00041</a> <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classitk_1_1TriangleHelper.html#437b7050d0238dada278b46d023cbe72">IsObtuse</a>( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iA, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iB, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iC )
<a name="l00042"></a>00042 {
<a name="l00043"></a>00043 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v01 = iB - iA;
<a name="l00044"></a>00044 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v02 = iC - iA;
<a name="l00045"></a>00045 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v12 = iC - iB;
<a name="l00046"></a>00046
<a name="l00047"></a>00047 <span class="keywordflow">if</span>( v01 * v02 < 0.0 )
<a name="l00048"></a>00048 {
<a name="l00049"></a>00049 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00050"></a>00050 }
<a name="l00051"></a>00051 <span class="keywordflow">else</span>
<a name="l00052"></a>00052 {
<a name="l00053"></a>00053 <span class="keywordflow">if</span>( v02 * v12 < 0.0 )
<a name="l00054"></a>00054 {
<a name="l00055"></a>00055 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00056"></a>00056 }
<a name="l00057"></a>00057 <span class="keywordflow">else</span>
<a name="l00058"></a>00058 {
<a name="l00059"></a>00059 <span class="keywordflow">if</span>( v01 * -v12 < 0.0 )
<a name="l00060"></a>00060 {
<a name="l00061"></a>00061 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063 <span class="keywordflow">else</span>
<a name="l00064"></a>00064 {
<a name="l00065"></a>00065 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00066"></a>00066 }
<a name="l00067"></a>00067 }
<a name="l00068"></a>00068 }
<a name="l00069"></a>00069 }
<a name="l00070"></a>00070
<a name="l00071"></a><a class="code" href="classitk_1_1TriangleHelper.html#993c7091bbfba9ec851284b4dfa5b794">00071</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> <a class="code" href="classitk_1_1TriangleHelper.html#993c7091bbfba9ec851284b4dfa5b794">ComputeNormal</a> ( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iA,
<a name="l00072"></a>00072 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iB,
<a name="l00073"></a>00073 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iC )
<a name="l00074"></a>00074 {
<a name="l00075"></a>00075 <a class="code" href="classitk_1_1CrossHelper.html">CrossVectorType</a> cross;
<a name="l00076"></a>00076 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> w = cross ( iB - iA, iC - iA );
<a name="l00077"></a>00077 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> l2 = w.GetSquaredNorm();
<a name="l00078"></a>00078
<a name="l00079"></a>00079 <span class="keywordflow">if</span>( l2 != 0.0 )
<a name="l00080"></a>00080 {
<a name="l00081"></a>00081 w /= vcl_sqrt( l2 );
<a name="l00082"></a>00082 }
<a name="l00083"></a>00083
<a name="l00084"></a>00084 <span class="keywordflow">return</span> w;
<a name="l00085"></a>00085 }
<a name="l00086"></a>00086
<a name="l00087"></a><a class="code" href="classitk_1_1TriangleHelper.html#b30cfd48e03b0f7cf833e6a7d384f114">00087</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> <a class="code" href="classitk_1_1TriangleHelper.html#b30cfd48e03b0f7cf833e6a7d384f114">Cotangent</a> ( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iA,
<a name="l00088"></a>00088 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iB,
<a name="l00089"></a>00089 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iC )
<a name="l00090"></a>00090 {
<a name="l00091"></a>00091 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v21 = iA - iB;
<a name="l00092"></a>00092 v21.Normalize();
<a name="l00093"></a>00093
<a name="l00094"></a>00094 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v23 = iC - iB;
<a name="l00095"></a>00095 v23.Normalize();
<a name="l00096"></a>00096
<a name="l00097"></a>00097 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> bound( 0.999999 );
<a name="l00098"></a>00098
<a name="l00099"></a>00099 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> cos_theta = vnl_math_max( -bound,
<a name="l00100"></a>00100 vnl_math_min( bound, v21 * v23 ) );
<a name="l00101"></a>00101
<a name="l00102"></a>00102 <span class="keywordflow">return</span> 1.0 / vcl_tan( vcl_acos( cos_theta ) );
<a name="l00103"></a>00103 }
<a name="l00104"></a>00104
<a name="l00105"></a><a class="code" href="classitk_1_1TriangleHelper.html#432f85d36e04be8b6395a93d74436bdd">00105</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> <a class="code" href="classitk_1_1TriangleHelper.html#432f85d36e04be8b6395a93d74436bdd">ComputeBarycenter</a> (
<a name="l00106"></a>00106 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a>& iA1, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1,
<a name="l00107"></a>00107 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a>& iA2, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2,
<a name="l00108"></a>00108 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a>& iA3, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00109"></a>00109 {
<a name="l00110"></a>00110 <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> oPt;
<a name="l00111"></a>00111
<a name="l00112"></a>00112 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> dim = 0; dim < PointDimension; dim++ )
<a name="l00113"></a>00113 {
<a name="l00114"></a>00114 oPt[dim] = iA1 * iP1[dim] + iA2 * iP2[dim] + iA3 * iP3[dim];
<a name="l00115"></a>00115 }
<a name="l00116"></a>00116
<a name="l00117"></a>00117 <span class="keywordflow">return</span> oPt;
<a name="l00118"></a>00118 }
<a name="l00119"></a>00119
<a name="l00120"></a><a class="code" href="classitk_1_1TriangleHelper.html#cbb906e3a4742f84afb5e66e5fc7ed8c">00120</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> <a class="code" href="classitk_1_1TriangleHelper.html#cbb906e3a4742f84afb5e66e5fc7ed8c">ComputeAngle</a>( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2,
<a name="l00121"></a>00121 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00122"></a>00122 {
<a name="l00123"></a>00123 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v21 = iP1 - iP2;
<a name="l00124"></a>00124 <a class="code" href="classitk_1_1TriangleHelper.html#a6f709e69a59ac1c343bcd6a2b736c13">VectorType</a> v23 = iP3 - iP2;
<a name="l00125"></a>00125
<a name="l00126"></a>00126 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> v21_l2 = v21.GetSquaredNorm();
<a name="l00127"></a>00127 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> v23_l2 = v23.GetSquaredNorm();
<a name="l00128"></a>00128
<a name="l00129"></a>00129 <span class="keywordflow">if</span>( v21_l2 != 0.0 )
<a name="l00130"></a>00130 v21 /= v21_l2;
<a name="l00131"></a>00131 <span class="keywordflow">if</span>( v23_l2 != 0.0 )
<a name="l00132"></a>00132 v23 /= v23_l2;
<a name="l00133"></a>00133
<a name="l00134"></a>00134 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> bound( 0.999999 );
<a name="l00135"></a>00135
<a name="l00136"></a>00136 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> cos_theta = vnl_math_max( -bound,
<a name="l00137"></a>00137 vnl_math_min( bound, v21 * v23 ) );
<a name="l00138"></a>00138
<a name="l00139"></a>00139 <span class="keywordflow">return</span> vcl_acos( cos_theta );
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141
<a name="l00142"></a><a class="code" href="classitk_1_1TriangleHelper.html#7c3e75aa5683893ba4ff7a7acb8a6174">00142</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> <a class="code" href="classitk_1_1TriangleHelper.html#7c3e75aa5683893ba4ff7a7acb8a6174">ComputeGravityCenter</a> (
<a name="l00143"></a>00143 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1,
<a name="l00144"></a>00144 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2,
<a name="l00145"></a>00145 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00146"></a>00146 {
<a name="l00147"></a>00147 <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> oPt;
<a name="l00148"></a>00148 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> inv_3 = 1.0 / 3.;
<a name="l00149"></a>00149
<a name="l00150"></a>00150 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> dim = 0; dim < PointDimension; dim++ )
<a name="l00151"></a>00151 {
<a name="l00152"></a>00152 oPt[dim] = ( iP1[dim] + iP2[dim] + iP3[dim] ) * inv_3;
<a name="l00153"></a>00153 }
<a name="l00154"></a>00154
<a name="l00155"></a>00155 <span class="keywordflow">return</span> oPt;
<a name="l00156"></a>00156 }
<a name="l00157"></a>00157
<a name="l00158"></a><a class="code" href="classitk_1_1TriangleHelper.html#94a766410a53da62814b0ed2c0c24e1e">00158</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> <a class="code" href="classitk_1_1TriangleHelper.html#94a766410a53da62814b0ed2c0c24e1e">ComputeCircumCenter</a> (
<a name="l00159"></a>00159 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1,
<a name="l00160"></a>00160 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2,
<a name="l00161"></a>00161 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00162"></a>00162 {
<a name="l00163"></a>00163 <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> oPt;
<a name="l00164"></a>00164 oPt.Fill ( 0.0 );
<a name="l00165"></a>00165
<a name="l00166"></a>00166 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> a = iP2.SquaredEuclideanDistanceTo ( iP3 );
<a name="l00167"></a>00167 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> b = iP1.SquaredEuclideanDistanceTo ( iP3 );
<a name="l00168"></a>00168 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> c = iP2.SquaredEuclideanDistanceTo ( iP1 );
<a name="l00169"></a>00169
<a name="l00170"></a>00170 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> Weight[3];
<a name="l00171"></a>00171 Weight[0] = a * ( b + c - a );
<a name="l00172"></a>00172 Weight[1] = b * ( c + a - b );
<a name="l00173"></a>00173 Weight[2] = c * ( a + b - c );
<a name="l00174"></a>00174
<a name="l00175"></a>00175 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> SumWeight = Weight[0] + Weight[1] + Weight[2];
<a name="l00176"></a>00176
<a name="l00177"></a>00177 <span class="keywordflow">if</span> ( SumWeight != 0.0 )
<a name="l00178"></a>00178 {
<a name="l00179"></a>00179 SumWeight = 1.0 / SumWeight;
<a name="l00180"></a>00180
<a name="l00181"></a>00181 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> dim = 0; dim < PointDimension; dim++ )
<a name="l00182"></a>00182 {
<a name="l00183"></a>00183 oPt[dim] = ( Weight[0] * iP1[dim] + Weight[1] * iP2[dim] + Weight[2] * iP3[dim] ) * SumWeight;
<a name="l00184"></a>00184 }
<a name="l00185"></a>00185 }
<a name="l00186"></a>00186
<a name="l00187"></a>00187
<a name="l00188"></a>00188 <span class="keywordflow">return</span> oPt;
<a name="l00189"></a>00189 }
<a name="l00190"></a>00190
<a name="l00191"></a><a class="code" href="classitk_1_1TriangleHelper.html#9cf93db13aa89130880a8f7f4bdb84ec">00191</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> <a class="code" href="classitk_1_1TriangleHelper.html#9cf93db13aa89130880a8f7f4bdb84ec">ComputeConstrainedCircumCenter</a> ( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1,
<a name="l00192"></a>00192 <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00193"></a>00193 {
<a name="l00194"></a>00194 <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a> oPt;
<a name="l00195"></a>00195 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> a = iP2.SquaredEuclideanDistanceTo ( iP3 );
<a name="l00196"></a>00196 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> b = iP1.SquaredEuclideanDistanceTo ( iP3 );
<a name="l00197"></a>00197 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> c = iP2.SquaredEuclideanDistanceTo ( iP1 );
<a name="l00198"></a>00198
<a name="l00199"></a>00199 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> Weight[3];
<a name="l00200"></a>00200 Weight[0] = a * ( b + c - a );
<a name="l00201"></a>00201 Weight[1] = b * ( c + a - b );
<a name="l00202"></a>00202 Weight[2] = c * ( a + b - c );
<a name="l00203"></a>00203
<a name="l00204"></a>00204 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < 3; i++ )
<a name="l00205"></a>00205 {
<a name="l00206"></a>00206 <span class="keywordflow">if</span> ( Weight[i] < 0.0 )
<a name="l00207"></a>00207 {
<a name="l00208"></a>00208 Weight[i] = 0.;
<a name="l00209"></a>00209 }
<a name="l00210"></a>00210 }
<a name="l00211"></a>00211
<a name="l00212"></a>00212 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> SumWeight = Weight[0] + Weight[1] + Weight[2];
<a name="l00213"></a>00213
<a name="l00214"></a>00214 <span class="keywordflow">if</span> ( SumWeight != 0.0 )
<a name="l00215"></a>00215 {
<a name="l00216"></a>00216 SumWeight = 1.0 / SumWeight;
<a name="l00217"></a>00217
<a name="l00218"></a>00218 <span class="keywordflow">for</span> ( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> dim = 0; dim < PointDimension; dim++ )
<a name="l00219"></a>00219 {
<a name="l00220"></a>00220 oPt[dim] = ( Weight[0] * iP1[dim] + Weight[1] * iP2[dim] + Weight[2] * iP3[dim] ) * SumWeight;
<a name="l00221"></a>00221 }
<a name="l00222"></a>00222 }
<a name="l00223"></a>00223
<a name="l00224"></a>00224 <span class="keywordflow">return</span> oPt;
<a name="l00225"></a>00225 }
<a name="l00226"></a>00226
<a name="l00227"></a><a class="code" href="classitk_1_1TriangleHelper.html#a1921f97cc7822033821c03a3effa39e">00227</a> <span class="keyword">static</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> <a class="code" href="classitk_1_1TriangleHelper.html#a1921f97cc7822033821c03a3effa39e">ComputeArea</a> ( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP1, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP2, <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#63b85ed1c0050f6458946d989ac57322">PointType</a>& iP3 )
<a name="l00228"></a>00228 {
<a name="l00229"></a>00229 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> a = iP2.EuclideanDistanceTo ( iP3 );
<a name="l00230"></a>00230 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> b = iP1.EuclideanDistanceTo ( iP3 );
<a name="l00231"></a>00231 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> c = iP2.EuclideanDistanceTo ( iP1 );
<a name="l00232"></a>00232
<a name="l00233"></a>00233 <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> s = 0.5 * ( a + b + c );
<a name="l00234"></a>00234 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span> <a class="code" href="classitk_1_1TriangleHelper.html#cccc9d734060841784fc248773b89015">CoordRepType</a> <span class="keyword">></span> ( vcl_sqrt ( s * ( s - a ) * ( s - b ) * ( s - c ) ) );
<a name="l00235"></a>00235 }
<a name="l00236"></a>00236
<a name="l00237"></a>00237 <span class="keyword">protected</span>:
<a name="l00238"></a>00238 <a class="code" href="classitk_1_1TriangleHelper.html#9969101fedf243615906019905f4bfbd">TriangleHelper</a>( );
<a name="l00239"></a>00239 <span class="keyword">virtual</span> <a class="code" href="classitk_1_1TriangleHelper.html#205afcbc137753f358a0a68e6fb713e6">~TriangleHelper</a>( );
<a name="l00240"></a>00240
<a name="l00241"></a>00241 <span class="keywordtype">void</span> <a class="code" href="classitk_1_1TriangleHelper.html#7fa607f00340ec0e33321a5221f4ded7">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="l00242"></a>00242
<a name="l00243"></a>00243
<a name="l00244"></a>00244 <span class="keyword">private</span>:
<a name="l00245"></a>00245 <a class="code" href="classitk_1_1TriangleHelper.html#9969101fedf243615906019905f4bfbd">TriangleHelper</a>( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#db32741ebf6d9fd12dfb91598be402a2">Self</a>& ); <span class="comment">// purposely not implemented</span>
<a name="l00246"></a>00246 <span class="keywordtype">void</span> operator = ( <span class="keyword">const</span> <a class="code" href="classitk_1_1TriangleHelper.html#db32741ebf6d9fd12dfb91598be402a2">Self</a>& ); <span class="comment">// purposely not implemented</span>
<a name="l00247"></a>00247 };
<a name="l00248"></a>00248 }
<a name="l00249"></a>00249
<a name="l00250"></a>00250 <span class="preprocessor">#endif</span>
<a name="l00251"></a>00251 <span class="preprocessor"></span>
</pre></div></div>
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