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<li class="navelem"><a class="el" href="dir_ad421f26fc787a8055cabb4d5b02df31.html">estimators</a></li> </ul>
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<div class="title">3dLocalEstimators.cpp</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>  </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <iomanip></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <string></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "DGtal/base/Common.h"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "DGtal/base/Clock.h"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "DGtal/helpers/StdDefs.h"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "CLI11.hpp"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">//shapes</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "DGtal/shapes/implicit/ImplicitBall.h"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "DGtal/math/MPolynomial.h"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "DGtal/io/readers/MPolynomialReader.h"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "DGtal/shapes/implicit/ImplicitPolynomial3Shape.h"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">//Digitizer</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "DGtal/shapes/GaussDigitizer.h"</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "DGtal/topology/LightImplicitDigitalSurface.h"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "DGtal/topology/DigitalSurface.h"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "DGtal/graph/DepthFirstVisitor.h"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#include "DGtal/geometry/volumes/KanungoNoise.h"</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#include "DGtal/topology/CanonicSCellEmbedder.h"</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment">//Estimators</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#include "DGtal/kernel/BasicPointFunctors.h"</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/FunctorOnCells.h"</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor">#include "DGtal/geometry/volumes/distance/LpMetric.h"</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor">#include "DGtal/geometry/curves/estimation/TrueLocalEstimatorOnPoints.h"</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/IIGeometricFunctors.h"</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/IntegralInvariantVolumeEstimator.h"</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/IntegralInvariantCovarianceEstimator.h"</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/LocalEstimatorFromSurfelFunctorAdapter.h"</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingMeanCurvatureEstimator.h"</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingGaussianCurvatureEstimator.h"</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor">#include "DGtal/geometry/surfaces/estimation/estimationFunctors/MongeJetFittingPrincipalCurvaturesEstimator.h"</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">using namespace </span><a class="code" href="namespaceDGtal.html">DGtal</a>;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">using namespace </span>functors;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">typedef</span> std::pair<double,double> PrincipalCurvatures;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="keyword">template</span> < <span class="keyword">typename</span> Shape, <span class="keyword">typename</span> KSpace, <span class="keyword">typename</span> ConstIterator, <span class="keyword">typename</span> OutputIterator ></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">void</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> estimateTrueMeanCurvatureQuantity( <span class="keyword">const</span> ConstIterator & it_begin,</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">const</span> ConstIterator & it_end,</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  OutputIterator & output,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a> & K,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & h,</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  Shape * aShape )</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SpaceND.html#a615c8017e5750e191610f48dcf968bb5">KSpace::Space::RealPoint</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a>;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder< KSpace ></a> Embedder;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  Embedder embedder( K );</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> currentRealPoint;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> ( ConstIterator it = it_begin; it != it_end; ++it )</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  currentRealPoint = embedder( *it_begin ) * h;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  *output = aShape->meanCurvature( currentRealPoint );</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  ++output;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">template</span> < <span class="keyword">typename</span> Shape, <span class="keyword">typename</span> KSpace, <span class="keyword">typename</span> ConstIterator, <span class="keyword">typename</span> OutputIterator ></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="keywordtype">void</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> estimateTrueGaussianCurvatureQuantity( <span class="keyword">const</span> ConstIterator & it_begin,</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">const</span> ConstIterator & it_end,</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  OutputIterator & output,</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a> & K,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & h,</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  Shape * aShape )</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> {</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SpaceND.html#a615c8017e5750e191610f48dcf968bb5">KSpace::Space::RealPoint</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a>;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder< KSpace ></a> Embedder;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  Embedder embedder( K );</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> currentRealPoint;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> ( ConstIterator it = it_begin; it != it_end; ++it )</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  currentRealPoint = embedder( *it_begin ) * h;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  *output = aShape->gaussianCurvature( currentRealPoint );</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  ++output;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">template</span> < <span class="keyword">typename</span> Shape, <span class="keyword">typename</span> KSpace, <span class="keyword">typename</span> ConstIterator, <span class="keyword">typename</span> OutputIterator ></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="keywordtype">void</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> estimateTruePrincipalCurvaturesQuantity( <span class="keyword">const</span> ConstIterator & it_begin,</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keyword">const</span> ConstIterator & it_end,</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  OutputIterator & output,</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a> & K,</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & h,</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  Shape * aShape )</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SpaceND.html#a615c8017e5750e191610f48dcf968bb5">KSpace::Space::RealPoint</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a>;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder< KSpace ></a> Embedder;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  Embedder embedder( K );</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> currentRealPoint;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> ( ConstIterator it = it_begin; it != it_end; ++it )</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  currentRealPoint = embedder( *it_begin ) * h;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordtype">double</span> k1, k2;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  aShape->principalCurvatures( currentRealPoint, k1, k2 );</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  PrincipalCurvatures result;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  result.first = k1;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  result.second = k2;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  *output = result;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  ++output;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Space, <span class="keyword">typename</span> Shape></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="keywordtype">bool</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> compareShapeEstimators( <span class="keyword">const</span> std::string & filename,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">const</span> Shape * aShape,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">const</span> <span class="keyword">typename</span> Space::RealPoint & border_min,</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">const</span> <span class="keyword">typename</span> Space::RealPoint & border_max,</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & h,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & radius_kernel,</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> & alpha,</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">const</span> std::string & options,</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">const</span> std::string & properties,</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> & lambda_optimized,</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordtype">double</span> noiseLevel = 0.0 )</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Space::RealPoint <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a>;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1GaussDigitizer.html">GaussDigitizer< Z3i::Space, Shape ></a> DigitalShape;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">Z3i::KSpace</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a>;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1SignedKhalimskyCell.html">KSpace::SCell</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1SignedKhalimskyCell.html">SCell</a>;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1SignedKhalimskyCell.html">KSpace::Surfel</a> Surfel;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordtype">bool</span> withNoise = ( noiseLevel <= 0.0 ) ? <span class="keyword">false</span> : <span class="keyword">true</span>;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  ASSERT (( noiseLevel < 1.0 ));</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="comment">// Digitizer</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  DigitalShape dshape;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  dshape.attach( *aShape );</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  dshape.init( border_min, border_max, h );</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a> K;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">if</span> ( ! K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a15dcbcaae831dd1c36090e6336c177d4">init</a>( dshape.getLowerBound(), dshape.getUpperBound(), <span class="keyword">true</span> ) )</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  {</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  std::cerr << <span class="stringliteral">"[3dLocalEstimators] error in creating KSpace."</span> << std::endl;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">try</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">if</span> ( withNoise )</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KanungoNoise.html">KanungoNoise< DigitalShape, Z3i::Domain ></a> KanungoPredicate;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LightImplicitDigitalSurface.html">LightImplicitDigitalSurface< KSpace, KanungoPredicate ></a> Boundary;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html">DigitalSurface< Boundary ></a> MyDigitalSurface;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MyDigitalSurface::ConstIterator ConstIterator;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DepthFirstVisitor.html">DepthFirstVisitor< MyDigitalSurface ></a> Visitor;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1GraphVisitorRange.html">GraphVisitorRange< Visitor ></a> VisitorRange;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VisitorRange::ConstIterator VisitorConstIterator;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// typedef PointFunctorFromPointPredicateAndDomain< KanungoPredicate, Z3i::Domain, unsigned int > MyPointFunctor;</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// typedef FunctorOnCells< MyPointFunctor, KSpace > MySpelFunctor;</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// Extracts shape boundary</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">auto</span> d = dshape.getDomain();</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  KanungoPredicate noisifiedObject ( dshape, d, noiseLevel );</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1SignedKhalimskyCell.html">SCell</a> bel = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Surfaces.html#a48e3a0e7c4728f6a6f23ec6f468a41b8">Surfaces< KSpace >::findABel</a>( K, noisifiedObject, 10000 );</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  Boundary * boundary = <span class="keyword">new</span> Boundary( K, noisifiedObject, <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SurfelAdjacency.html">SurfelAdjacency< KSpace::dimension ></a>( <span class="keyword">true</span> ), bel );</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  MyDigitalSurface surf ( *boundary );</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordtype">double</span> minsize = dshape.getUpperBound()[0] - dshape.getLowerBound()[0];</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> tries = 0;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">while</span>( surf.size() < 2 * minsize || tries > 150 )</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  {</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keyword">delete</span> boundary;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  bel = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Surfaces.html#a48e3a0e7c4728f6a6f23ec6f468a41b8">Surfaces< KSpace >::findABel</a>( K, noisifiedObject, 10000 );</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  boundary = <span class="keyword">new</span> Boundary( K, noisifiedObject, <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SurfelAdjacency.html">SurfelAdjacency< KSpace::dimension ></a>( <span class="keyword">true</span> ), bel );</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  surf = MyDigitalSurface( *boundary );</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  ++tries;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  }</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span>( tries > 150 )</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  {</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  std::cerr << <span class="stringliteral">"Can't found a proper bel. So .... I ... just ... kill myself."</span> << std::endl;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  </div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  VisitorRange * range;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  VisitorConstIterator ibegin;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  VisitorConstIterator iend;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="comment">// Estimations</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html">Clock</a> c;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// True</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">if</span>( options.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// True Mean Curvature</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  {</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True mean curvature"</span> );</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_mean.dat"</span> );</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  file << <span class="stringliteral">"# True Mean Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  std::ostream_iterator< double > out_it_true_mean( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  </div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  iend = range->end();</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  estimateTrueMeanCurvatureQuantity( ibegin,</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  iend,</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  out_it_true_mean,</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  K,</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  h,</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  aShape );</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  </div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordtype">double</span> TTrueMeanCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  file << <span class="stringliteral">"# time = "</span> << TTrueMeanCurv << std::endl;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  </div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  file.close();</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  }</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  </div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="comment">// True Gaussian Curvature</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">if</span>( properties.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True Gausian curvature"</span> );</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_gaussian.dat"</span> );</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  file << <span class="stringliteral">"# True Gaussian Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  std::ostream_iterator< double > out_it_true_gaussian( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  </div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  iend = range->end();</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  estimateTrueGaussianCurvatureQuantity( ibegin,</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  iend,</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  out_it_true_gaussian,</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  K,</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  h,</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  aShape );</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordtype">double</span> TTrueGaussianCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  file << <span class="stringliteral">"# time = "</span> << TTrueGaussianCurv << std::endl;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  file.close();</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  </div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  </div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="comment">// True Principal Curvatures</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">if</span>( properties.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  {</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True principal curvatures"</span> );</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  </div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_principal.dat"</span> );</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  file << <span class="stringliteral">"# True Gaussian Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  </div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  std::ostream_iterator< std::string > out_it_true_pc( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  std::vector<PrincipalCurvatures> v_results;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  iend = range->end();</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  </div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  estimateTruePrincipalCurvaturesQuantity( ibegin,</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  iend,</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  bkIt,<span class="comment">//out_it_true_pc,</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  K,</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  h,</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  aShape );</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ii = 0; ii < v_results.size(); ++ii )</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  {</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  std::stringstream ss;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  ss << v_results[ii].first << <span class="stringliteral">" "</span> << v_results[ii].second;</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  *out_it_true_pc = ss.str();</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  ++out_it_true_pc;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  }</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordtype">double</span> TTruePrincCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  file << <span class="stringliteral">"# time = "</span> << TTruePrincCurv << std::endl;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  file.close();</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  </div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  }</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keywordtype">double</span> re = radius_kernel * std::pow( h, alpha ); <span class="comment">// to obtains convergence results, re must follow the rule re=kh^(1/3)</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="comment">// II</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordflow">if</span>( options.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  {</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="comment">// Integral Invariant Mean Curvature</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II mean curvature"</span> );</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_mean.dat"</span> );</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  file << <span class="stringliteral">"# Mean Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  iend = range->end();</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  </div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIMeanCurvature3DFunctor.html">functors::IIMeanCurvature3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantVolumeEstimator.html">IntegralInvariantVolumeEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantVolumeEstimator.html#a66c790daf8df00539d1a111231abaa2a">init</a>( h, re );</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  curvatureEstimator.attach( K, noisifiedObject );</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  </div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  std::ostream_iterator< double > out_it_ii_mean( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  curvatureEstimator.eval( ibegin, iend, out_it_ii_mean );</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  </div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordtype">double</span> TIIMeanCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  file << <span class="stringliteral">"# time = "</span> << TIIMeanCurv << std::endl;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  file.close();</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  </div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  }</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  </div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="comment">// Integral Invariant Gaussian Curvature</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">if</span>( properties.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  {</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II Gaussian curvature"</span> );</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  </div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_gaussian.dat"</span> );</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  iend = range->end();</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  </div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  </div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIGaussianCurvature3DFunctor.html">functors::IIGaussianCurvature3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html">IntegralInvariantCovarianceEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  </div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html#a9c3d4a0716c8471fa0c49e02668758c0">init</a>( h, re );</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  curvatureEstimator.attach( K, noisifiedObject );</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  std::ostream_iterator< double > out_it_ii_gaussian( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  curvatureEstimator.eval( ibegin, iend, out_it_ii_gaussian );</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  </div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordtype">double</span> TIIGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  file << <span class="stringliteral">"# time = "</span> << TIIGaussCurv << std::endl;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  file.close();</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  </div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  </div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="comment">// Integral Invariant Principal Curvatures</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="keywordflow">if</span>( properties.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  {</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II Principal curvatures"</span> );</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  </div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_principal.dat"</span> );</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  </div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  iend = range->end();</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  </div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  </div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIPrincipalCurvatures3DFunctor.html">functors::IIPrincipalCurvatures3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html">IntegralInvariantCovarianceEstimator< KSpace, KanungoPredicate, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  </div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html#a9c3d4a0716c8471fa0c49e02668758c0">init</a>( h, re );</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  </div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  curvatureEstimator.attach( K, noisifiedObject );</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  std::vector<PrincipalCurvatures> v_results;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  </div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  curvatureEstimator.eval( ibegin, iend, bkIt );</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  </div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  std::ostream_iterator< std::string > out_it_ii_principal( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ii = 0; ii < v_results.size(); ++ii )</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  {</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  std::stringstream ss;</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  ss << v_results[ii].first << <span class="stringliteral">" "</span> << v_results[ii].second;</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  *out_it_ii_principal = ss.str();</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  ++out_it_ii_principal;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  }</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  </div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keywordtype">double</span> TIIGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  file << <span class="stringliteral">"# time = "</span> << TIIGaussCurv << std::endl;</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  file.close();</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  </div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  }</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  </div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="comment">// Monge</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordflow">if</span>( options.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  {</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="comment">// Monge Mean Curvature</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"Monge mean curvature"</span> );</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keyword">typedef</span> LpMetric<Space> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a>;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1MongeJetFittingMeanCurvatureEstimator.html">functors::MongeJetFittingMeanCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace></a> > FunctorMean;</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1ConstValue.html">functors::ConstValue< double ></a> ConvFunctor;</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LocalEstimatorFromSurfelFunctorAdapter.html">LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, L2Metric, FunctorMean, ConvFunctor></a> ReporterH;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder<KSpace></a> embedder( K );</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  FunctorMean estimatorH( embedder, h );</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  ConvFunctor convFunc(1.0);</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a> l2(2.0);</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  ReporterH reporterH;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  reporterH.attach( surf );</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  reporterH.setParams( l2, estimatorH, convFunc, re/h );</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  </div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  iend = range->end();</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  </div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  reporterH.init( h , ibegin, iend );</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  </div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_MongeJetFitting_mean.dat"</span> );</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  file << <span class="stringliteral">"# Mean Curvature estimation from CGAL Monge from and Jet Fitting"</span> << std::endl;</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  std::ostream_iterator< double > out_it_monge_mean( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  </div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  iend = range->end();</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  reporterH.eval(ibegin, iend, out_it_monge_mean);</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordtype">double</span> TMongeMeanCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  file << <span class="stringliteral">"# time = "</span> << TMongeMeanCurv << std::endl;</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  file.close();</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  </div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  </div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  }</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  </div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <span class="comment">// Monge Gaussian Curvature</span></div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">if</span>( properties.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  {</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"Monge Gaussian curvature"</span> );</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  </div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1MongeJetFittingGaussianCurvatureEstimator.html">functors::MongeJetFittingGaussianCurvatureEstimator<Surfel, CanonicSCellEmbedder<KSpace></a> > FunctorGaussian;</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1ConstValue.html">functors::ConstValue< double ></a> ConvFunctor;</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keyword">typedef</span> LpMetric<Space> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a>;</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LocalEstimatorFromSurfelFunctorAdapter.html">LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, L2Metric, FunctorGaussian, ConvFunctor></a> ReporterK;</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder<KSpace></a> embedder( K );</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  FunctorGaussian estimatorK( embedder, h );</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  ConvFunctor convFunc(1.0);</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  ReporterK reporterK;</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  reporterK.attach( surf );</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a> l2(2.0);</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  reporterK.setParams( l2, estimatorK, convFunc, re/h );</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  iend = range->end();</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  </div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  reporterK.init( h , ibegin, iend );</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  </div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  iend = range->end();</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  </div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_MongeJetFitting_gaussian.dat"</span> );</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from CGAL Monge from and Jet Fitting"</span> << std::endl;</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  std::ostream_iterator< double > out_it_monge_gaussian( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  reporterK.eval(ibegin, iend , out_it_monge_gaussian);</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="keywordtype">double</span> TMongeGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  file << <span class="stringliteral">"# time = "</span> << TMongeGaussCurv << std::endl;</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  file.close();</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  </div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  </div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  }</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  </div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  <span class="comment">// Monge Principal Curvatures</span></div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keywordflow">if</span>( properties.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  {</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"Monge Principal Curvature"</span> );</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keyword">typedef</span> LpMetric<Space> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a>;</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1MongeJetFittingPrincipalCurvaturesEstimator.html">functors::MongeJetFittingPrincipalCurvaturesEstimator<Surfel, CanonicSCellEmbedder<KSpace></a> > FunctorPrincCurv;</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1functors_1_1ConstValue.html">functors::ConstValue< double ></a> ConvFunctor;</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LocalEstimatorFromSurfelFunctorAdapter.html">LocalEstimatorFromSurfelFunctorAdapter<typename MyDigitalSurface::DigitalSurfaceContainer, L2Metric, FunctorPrincCurv, ConvFunctor></a> ReporterK;</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CanonicSCellEmbedder.html">CanonicSCellEmbedder<KSpace></a> embedder( K );</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  FunctorPrincCurv estimatorK( embedder, h );</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  ConvFunctor convFunc(1.0);</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a> l2(2.0);</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  ReporterK reporterK;</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  reporterK.attach( surf );</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  reporterK.setParams( l2, estimatorK, convFunc, re/h );</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  </div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  </div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  iend = range->end();</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  reporterK.init( h , ibegin, iend );</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  </div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_MongeJetFitting_principal.dat"</span> );</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from CGAL Monge from and Jet Fitting"</span> << std::endl;</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  std::ostream_iterator< std::string > out_it_monge_principal( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  </div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  std::vector<PrincipalCurvatures> v_results;</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  std::back_insert_iterator<std::vector<PrincipalCurvatures> > bkIt(v_results);</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  </div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  iend = range->end();</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  reporterK.eval(ibegin, iend , bkIt);<span class="comment">//out_it_monge_principal);</span></div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  </div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ii = 0; ii < v_results.size(); ++ii )</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  {</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  std::stringstream ss;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  ss << v_results[ii].first << <span class="stringliteral">" "</span> << v_results[ii].second;</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  *out_it_monge_principal = ss.str();</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  ++out_it_monge_principal;</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  }</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  </div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  <span class="keywordtype">double</span> TMongeGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  file << <span class="stringliteral">"# time = "</span> << TMongeGaussCurv << std::endl;</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  file.close();</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  </div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  </div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  }</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  }</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  }</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  <span class="keywordflow">else</span> <span class="comment">// no noise</span></div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  {</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LightImplicitDigitalSurface.html">LightImplicitDigitalSurface< KSpace, DigitalShape ></a> Boundary;</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html">DigitalSurface< Boundary ></a> MyDigitalSurface;</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MyDigitalSurface::ConstIterator ConstIterator;</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  </div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DepthFirstVisitor.html">DepthFirstVisitor< MyDigitalSurface ></a> Visitor;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1GraphVisitorRange.html">GraphVisitorRange< Visitor ></a> VisitorRange;</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VisitorRange::ConstIterator VisitorConstIterator;</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  </div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="comment">// Extracts shape boundary</span></div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1SignedKhalimskyCell.html">SCell</a> bel = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Surfaces.html#a48e3a0e7c4728f6a6f23ec6f468a41b8">Surfaces<KSpace>::findABel</a> ( K, dshape, 10000 );</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  Boundary boundary( K, dshape, <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SurfelAdjacency.html">SurfelAdjacency< KSpace::dimension ></a>( <span class="keyword">true</span> ), bel );</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  MyDigitalSurface surf ( boundary );</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  </div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  VisitorRange * range;</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  VisitorConstIterator ibegin;</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  VisitorConstIterator iend;</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  </div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> cntIn = 0;</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  <span class="keywordflow">for</span>( <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1HyperRectDomain__Iterator.html">Z3i::Domain::ConstIterator</a> it = dshape.getDomain().begin(), ite = dshape.getDomain().end(); it != ite; ++it )</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  {</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keywordflow">if</span>( dshape.operator ()(*it))</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  {</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  ++cntIn;</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  }</div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  }</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  </div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  std::cout << <span class="stringliteral">"boundary:"</span> << surf.size() << std::endl;</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  std::cout << <span class="stringliteral">"full:"</span> << cntIn << std::endl;</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  </div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  <span class="comment">// Estimations</span></div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html">Clock</a> c;</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  </div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="comment">// True</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="keywordflow">if</span>( options.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  {</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <span class="comment">// True Mean Curvature</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  {</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True mean curvature"</span> );</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  </div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_mean.dat"</span> );</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  file << <span class="stringliteral">"# True Mean Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  </div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  std::ostream_iterator< double > out_it_true_mean( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  </div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  iend = range->end();</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  </div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  </div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  estimateTrueMeanCurvatureQuantity( ibegin,</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  iend,</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  out_it_true_mean,</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  K,</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  h,</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  aShape );</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  </div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <span class="keywordtype">double</span> TTrueMeanCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  file << <span class="stringliteral">"# time = "</span> << TTrueMeanCurv << std::endl;</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  </div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  file.close();</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  </div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  }</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  </div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="comment">// True Gaussian Curvature</span></div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <span class="keywordflow">if</span>( properties.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  {</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True Gaussian curvature"</span> );</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  </div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_gaussian.dat"</span> );</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  file << <span class="stringliteral">"# True Gaussian Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  </div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  std::ostream_iterator< double > out_it_true_gaussian( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  </div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  iend = range->end();</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  </div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  </div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  estimateTrueGaussianCurvatureQuantity( ibegin,</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  iend,</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  out_it_true_gaussian,</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  K,</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  h,</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  aShape );</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  </div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <span class="keywordtype">double</span> TTrueGaussianCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  file << <span class="stringliteral">"# time = "</span> << TTrueGaussianCurv << std::endl;</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  </div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  file.close();</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  </div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  }</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  </div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="comment">// True Principal Curvatures</span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="keywordflow">if</span>( properties.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  {</div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"True principal curvatures"</span> );</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  </div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_True_principal.dat"</span> );</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  file << <span class="stringliteral">"# True Gaussian Curvature estimation"</span> << std::endl;</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  </div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  std::ostream_iterator< std::string > out_it_true_pc( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  </div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  std::vector<PrincipalCurvatures> v_results;</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  </div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  iend = range->end();</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  </div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  </div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  estimateTruePrincipalCurvaturesQuantity( ibegin,</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  iend,</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  bkIt,<span class="comment">// out_it_true_pc,</span></div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  K,</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  h,</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  aShape );</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  </div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  </div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ii = 0; ii < v_results.size(); ++ii )</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  {</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  std::stringstream ss;</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  ss << v_results[ii].first << <span class="stringliteral">" "</span> << v_results[ii].second;</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  *out_it_true_pc = ss.str();</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  ++out_it_true_pc;</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  }</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  </div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <span class="keywordtype">double</span> TTruePrincCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  file << <span class="stringliteral">"# time = "</span> << TTruePrincCurv << std::endl;</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  </div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  file.close();</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  </div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  </div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  }</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  }</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  </div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  <span class="keywordtype">double</span> re = radius_kernel * std::pow( h, alpha ); <span class="comment">// to obtains convergence results, re must follow the rule re=kh^(1/3)</span></div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  </div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <span class="comment">// II</span></div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <span class="keywordflow">if</span>( options.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  {</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  <span class="comment">// Integral Invariant Mean Curvature</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  {</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II mean curvature"</span> );</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_mean.dat"</span> );</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  file << <span class="stringliteral">"# Mean Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  </div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  iend = range->end();</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  </div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  </div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIMeanCurvature3DFunctor.html">functors::IIMeanCurvature3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantVolumeEstimator.html">IntegralInvariantVolumeEstimator< KSpace, DigitalShape, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  </div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantVolumeEstimator.html#a66c790daf8df00539d1a111231abaa2a">init</a>( h, re );</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  </div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  curvatureEstimator.attach( K, dshape );</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  </div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  std::ostream_iterator< double > out_it_ii_mean( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  curvatureEstimator.eval( ibegin, iend, out_it_ii_mean );</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  </div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  <span class="keywordtype">double</span> TIIMeanCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  file << <span class="stringliteral">"# time = "</span> << TIIMeanCurv << std::endl;</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  file.close();</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  </div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  </div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  }</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  </div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  <span class="comment">// Integral Invariant Gaussian Curvature</span></div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  <span class="keywordflow">if</span>( properties.at( 1 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  {</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II Gaussian curvature"</span> );</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  </div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_gaussian.dat"</span> );</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  </div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  iend = range->end();</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  </div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  </div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIGaussianCurvature3DFunctor.html">functors::IIGaussianCurvature3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html">IntegralInvariantCovarianceEstimator< KSpace, DigitalShape, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  </div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html#a9c3d4a0716c8471fa0c49e02668758c0">init</a>( h, re );</div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  </div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  curvatureEstimator.attach( K, dshape );</div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  </div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  std::ostream_iterator< double > out_it_ii_gaussian( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  curvatureEstimator.eval( ibegin, iend, out_it_ii_gaussian );</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  </div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  <span class="keywordtype">double</span> TIIGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  file << <span class="stringliteral">"# time = "</span> << TIIGaussCurv << std::endl;</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  file.close();</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  </div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  </div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  }</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  </div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  <span class="comment">// Integral Invariant Principal Curvatures</span></div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  <span class="keywordflow">if</span>( properties.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  {</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"II Principal curvatures"</span> );</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  </div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  <span class="keywordtype">char</span> full_filename[360];</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  sprintf( full_filename, <span class="stringliteral">"%s%s"</span>, filename.c_str(), <span class="stringliteral">"_II_principal.dat"</span> );</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  std::ofstream file( full_filename );</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  file << <span class="stringliteral">"# h = "</span> << h << std::endl;</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  file << <span class="stringliteral">"# Gaussian Curvature estimation from the Integral Invariant"</span> << std::endl;</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  file << <span class="stringliteral">"# computed kernel radius = "</span> << re << std::endl;</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  </div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  range = <span class="keyword">new</span> VisitorRange( <span class="keyword">new</span> Visitor( surf, *surf.begin() ));</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  ibegin = range->begin();</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  iend = range->end();</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  </div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#aa334c8dc915eeea5caffcb7a3a960d5c">startClock</a>();</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  </div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1functors_1_1IIPrincipalCurvatures3DFunctor.html">functors::IIPrincipalCurvatures3DFunctor<Z3i::Space></a> MyIICurvatureFunctor;</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html">IntegralInvariantCovarianceEstimator< KSpace, DigitalShape, MyIICurvatureFunctor ></a> MyIICurvatureEstimator;</div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  </div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  MyIICurvatureFunctor curvatureFunctor;</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  curvatureFunctor.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1IntegralInvariantCovarianceEstimator.html#a9c3d4a0716c8471fa0c49e02668758c0">init</a>( h, re );</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  </div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  MyIICurvatureEstimator curvatureEstimator( curvatureFunctor );</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  curvatureEstimator.attach( K, dshape );</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  curvatureEstimator.setParams( re/h );</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  curvatureEstimator.init( h, ibegin, iend );</div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  </div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  std::vector<PrincipalCurvatures> v_results;</div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  std::back_insert_iterator< std::vector<PrincipalCurvatures> > bkIt(v_results);</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  </div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  curvatureEstimator.eval( ibegin, iend, bkIt );</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  </div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  std::ostream_iterator< std::string > out_it_ii_principal( file, <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keywordflow">for</span>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ii = 0; ii < v_results.size(); ++ii )</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  {</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  std::stringstream ss;</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  ss << v_results[ii].first << <span class="stringliteral">" "</span> << v_results[ii].second;</div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  *out_it_ii_principal = ss.str();</div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  ++out_it_ii_principal;</div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  }</div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  </div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keywordtype">double</span> TIIGaussCurv = c.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clock.html#ac9b4454924d3e111a195d6671fab7f05">stopClock</a>();</div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  file << <span class="stringliteral">"# time = "</span> << TIIGaussCurv << std::endl;</div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  file.close();</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  </div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  <span class="keyword">delete</span> range;</div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>  </div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#afa3a2874289734884107b1ce68ccb93d">endBlock</a>();</div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  }</div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  }</div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  </div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  <span class="comment">// Monge</span></div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  <span class="keywordflow">if</span>( options.at( 2 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  {</div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  <span class="comment">// Monge Mean Curvature</span></div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  <span class="keywordflow">if</span>( properties.at( 0 ) != <span class="charliteral">'0'</span> )</div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  {</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a604c07ec391ad12a1f3fb6479993f112">trace</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Trace.html#a352b7160bf722e2f0bcbee5d0bad6ef3">beginBlock</a>( <span class="stringliteral">"Monge mean curvature"</span> );</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  <span class="keyword">typedef</span> LpMetric<Space> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5334b5612687982f0154e4ee8f5dd93d">L2Metric</a>;</div>