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3dImplicitSurfaceExtractorByThickening_8cpp_source.html
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<div class="title">3dImplicitSurfaceExtractorByThickening.cpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>  </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "CLI11.hpp"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "DGtal/base/Common.h"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "DGtal/base/CountedPtr.h"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "DGtal/helpers/StdDefs.h"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "DGtal/math/MPolynomial.h"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "DGtal/io/readers/MPolynomialReader.h"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "DGtal/io/DrawWithDisplay3DModifier.h"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "DGtal/io/viewers/Viewer3D.h"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "DGtal/topology/KhalimskySpaceND.h"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include "DGtal/topology/CubicalComplex.h"</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "DGtal/topology/CubicalComplexFunctions.h"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "DGtal/topology/SetOfSurfels.h"</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "DGtal/topology/DigitalSurface.h"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "DGtal/topology/helpers/Surfaces.h"</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/shapes/Mesh.h"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "DGtal/io/boards/Board3D.h"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "DGtal/shapes/implicit/ImplicitPolynomial3Shape.h"</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">using namespace </span><a class="code" href="namespaceDGtal.html">DGtal</a>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">template</span> <<span class="keyword">typename</span> CellOutputIterator, <span class="keyword">typename</span> DigitalSurface></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">void</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> analyzeSurface( CellOutputIterator itSure, CellOutputIterator itUnsure, <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html">DigitalSurface</a> surface )</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a9a527561977510dc5ab21cec7438727c">DigitalSurface::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="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a022bb4ded759e45963bfe00706ae8214">DigitalSurface::Surfel</a> Surfel;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a40056dd099c93e7ab5dfc5196a56e550">DigitalSurface::ConstIterator</a> ConstIterator;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a1e5d3aa778ac2d76c6a5fe1c3986d63b">DigitalSurface::DigitalSurfaceContainer</a> Container;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a81da19bd361a25c90f7a0c295e91cfaa">DigitalSurface::DigitalSurfaceTracker</a> Tracker;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a1101d4adbc2a87db33afcb42209b6f04">KSpace::Integer</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5d93c6632713d21e2662c93af3a941e6">Integer</a>;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1KhalimskyCell.html">KSpace::Cell</a> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1KhalimskyCell.html">Cell</a>;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a8fbe8c8d47ca5c36ced14284ac62613d">Dimension</a> t = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ae2b2dcf34c36a5e3eae4bf13291f1578">KSpace::dimension</a> - 1;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">const</span> Container& C = surface.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#afd10471a6fb7fb58e5f8744a8b6c1713">container</a>();</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KSpace</a>& K = surface.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#afd10471a6fb7fb58e5f8744a8b6c1713">container</a>().space();</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  Surfel s2;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">for</span> ( ConstIterator it = surface.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a49b0a08eb04ed843d3e2c9ac7112a913">begin</a>(), itE = surface.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DigitalSurface.html#a00e29d43b6f9d0313c7134aec8c4f4ee">end</a>(); it != itE; ++it )</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>  Surfel s = *it;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1KhalimskyCell.html">Cell</a> is = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab4acf92d6aac9ace694f79c3ecda674d">unsigns</a>( s );</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5d93c6632713d21e2662c93af3a941e6">Integer</a> s_xt = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a71a96a90f5935efbccfff1d98b874c2d">sKCoord</a>( s, t );</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">if</span> ( s_xt == 0 ) *itUnsure++ = is;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( s_xt == -1 ) </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1CountedPtr.html">CountedPtr<Tracker></a> tracker( C.newTracker( s ) );</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">if</span> ( tracker->adjacent( s2, t, <span class="keyword">true</span> ) != 0 )</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>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5d93c6632713d21e2662c93af3a941e6">Integer</a> s2_xt = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a71a96a90f5935efbccfff1d98b874c2d">sKCoord</a>( s2, t );</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1KhalimskyCell.html">Cell</a> ic = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab9ccd18c393b7bfd31289391a0a99b8d">uIncident</a>( is, t, <span class="keyword">true</span> ); </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> ( s2_xt > 0 ) *itSure++ = ic;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">else</span> *itUnsure++ = ic;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( s_xt == 1 )</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1CountedPtr.html">CountedPtr<Tracker></a> tracker( C.newTracker( s ) );</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">if</span> ( tracker->adjacent( s2, t, <span class="keyword">false</span> ) != 0 )</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5d93c6632713d21e2662c93af3a941e6">Integer</a> s2_xt = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a71a96a90f5935efbccfff1d98b874c2d">sKCoord</a>( s2, t );</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1KhalimskyCell.html">Cell</a> ic = K.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab9ccd18c393b7bfd31289391a0a99b8d">uIncident</a>( is, t, <span class="keyword">false</span> ); </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">if</span> ( s2_xt < 0 ) *itSure++ = ic;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">else</span> *itUnsure++ = ic;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">else</span> cout << <span class="stringliteral">" "</span> << s_xt;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</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>  </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="keyword">template</span> <<span class="keyword">typename</span> ImplicitSurface, <span class="keyword">typename</span> RealPo<span class="keywordtype">int</span>></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> projectNewton( <span class="keyword">const</span> ImplicitSurface & is, </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> x, </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">typename</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html#a6409a51203e0edc907d523fb19ed7e41">RealPoint::Coordinate</a> epsilon,</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> max_iter )</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_1PointVector.html#a6409a51203e0edc907d523fb19ed7e41">RealPoint::Coordinate</a> Scalar;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html">RealPoint</a> gx;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  Scalar f, g2;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  Scalar eps2 = epsilon * epsilon;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">while</span> ( max_iter-- != 0 )</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>  f = is( x );</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">if</span> ( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1functions.html#af95dcf36f806f7fc15626ca6b1c27d22">abs</a>( f ) < epsilon ) <span class="keywordflow">return</span> x;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  gx = is.gradient( x );</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  g2 = gx.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1PointVector.html#aa0bb99ecab1fcb8a34f94dde061f6eac">dot</a>( gx );</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">if</span> ( g2 < eps2 ) <span class="keywordflow">return</span> x;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  x -= (f/g2) * gx;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">return</span> x;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </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> <span class="keyword">template</span> <<span class="keyword">typename</span> CubicalComplex3, <span class="keyword">typename</span> ImplicitShape3, </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">typename</span> ImplicitDigitalShape3></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="keywordtype">void</span> projectComplex( std::vector< typename ImplicitShape3::RealPoint >& points,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keyword">const</span> CubicalComplex3& complex3,</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">const</span> ImplicitShape3& shape,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">const</span> ImplicitDigitalShape3& dshape,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordtype">double</span> epsilon,</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> max_iter, </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordtype">double</span> max_distance )</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> {</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Cell Cell3;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Point Point3;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::CellMapConstIterator CellMapConstIterator;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::RealPoint RealPoint3;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::Ring Ring;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  points.clear();</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 0 ), itE = complex3.end( 0 ); it != itE; ++it )</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  Point3 dp = complex3.space().uKCoords( cell ) - Point3::diagonal( 1 );</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  RealPoint3 p = dshape->embed( dp ) / 2.0;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  RealPoint3 q = projectNewton( shape, p, epsilon, max_iter );</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordtype">double</span> d = (p-q).norm();</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">if</span> ( d > max_distance ) q = p + (q-p)*( max_distance / d );</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  points.push_back( q );</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  }</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> }</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="keyword">template</span> <<span class="keyword">typename</span> CubicalComplex3, <span class="keyword">typename</span> ImplicitShape3, </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">typename</span> ImplicitDigitalShape3></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">typename</span> ImplicitShape3::Ring</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> getValue( <span class="keyword">const</span> CubicalComplex3& complex3,</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keyword">const</span> <span class="keyword">typename</span> CubicalComplex3::Cell& cell,</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keyword">const</span> ImplicitShape3& shape,</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">const</span> ImplicitDigitalShape3& dshape )</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Cell Cell3;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Cells Cells3;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Point Point3;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::RealPoint RealPoint3;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::Ring Ring;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  Point3 dp = complex3.space().uKCoords( cell ) - Point3::diagonal( 1 );</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  RealPoint3 p = dshape->embed( dp ) / 2.0;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  Ring v = shape( p );</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> }</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">template</span> <<span class="keyword">typename</span> CubicalComplex3, <span class="keyword">typename</span> ImplicitShape3, </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">typename</span> ImplicitDigitalShape3></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="keywordtype">void</span> doNotProjectComplex( std::vector< typename ImplicitShape3::RealPoint >& points,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keyword">const</span> CubicalComplex3& complex3,</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> ImplicitShape3& shape,</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">const</span> ImplicitDigitalShape3& dshape )</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Cell Cell3;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::Point Point3;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> CubicalComplex3::CellMapConstIterator CellMapConstIterator;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::RealPoint RealPoint3;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> ImplicitShape3::Ring Ring;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  points.clear();</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 0 ), itE = complex3.end( 0 ); it != itE; ++it )</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>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  Point3 dp = complex3.space().uKCoords( cell );</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  RealPoint3 p = dshape->embed( dp ) / 2.0;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  points.push_back( p );</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  }</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>  </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> <span class="keywordtype">int</span> <a class="code" href="3dHeightMapViewer_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a>( <span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>** argv )</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keyword">typedef</span> <span class="keywordtype">int</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z2i.html#a5d93c6632713d21e2662c93af3a941e6">Integer</a>;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1SpaceND.html">SpaceND<3,Integer></a> Space3;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html">KhalimskySpaceND<3,Integer></a> KSpace3;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">typedef</span> KSpace3::Cell Cell3;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keyword">typedef</span> std::map<Cell3, CubicalCellData> Map3;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="comment">// typedef boost::unordered_map<Cell3, CubicalCellData> Map3;</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1CubicalComplex.html">CubicalComplex< KSpace3, Map3 ></a> CC3;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keyword">typedef</span> Space3::Point Point3;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keyword">typedef</span> Space3::RealPoint RealPoint3;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">typedef</span> Space3::RealVector RealVector3;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keyword">typedef</span> RealPoint3::Coordinate Ring;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">typedef</span> Ring Scalar;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1MPolynomial.html">MPolynomial<3, Ring></a> Polynomial3;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1MPolynomialReader.html">MPolynomialReader<3, Ring></a> Polynomial3Reader;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1ImplicitPolynomial3Shape.html">ImplicitPolynomial3Shape<Space3></a> ImplicitShape3;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1GaussDigitizer.html">GaussDigitizer< Space3, ImplicitShape3 ></a> </div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  ImplicitDigitalShape3;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">typedef</span> ImplicitDigitalShape3::Domain Domain3;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keyword">typedef</span> CC3::CellMapIterator CellMapIterator;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keyword">typedef</span> CC3::CellMapConstIterator CellMapConstIterator;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keyword">typedef</span> CC3::Cells Cells3;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="comment">// parse command line using CLI ----------------------------------------------</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  CLI::App app;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordtype">string</span> poly_str;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  std::string outputFileName {<span class="stringliteral">"result.raw"</span>};</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a1c09e3f63904ff371f1b99f45069fc63">DGtal::int64_t</a> rescaleInputMin {0};</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a1c09e3f63904ff371f1b99f45069fc63">DGtal::int64_t</a> rescaleInputMax {255};</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  Ring min_x {-10.0};</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  Ring max_x {10.0};</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  Ring h {1.0};</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  Ring t {1e-2};</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  std::string project {<span class="stringliteral">"Newton"</span>};</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordtype">double</span> epsilon {1e-6};</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> max_iter {500};</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  std::string view {<span class="stringliteral">"Normal"</span>};</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  std::string OBJexport=<span class="stringliteral">""</span>;</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>  app.description( <span class="stringliteral">"Computes the zero level set of the given polynomial. Usage: 3dImplicitSurfaceExtractorByThickening -p <polynomial> [options]\n Example:\n 3dImplicitSurfaceExtractorByThickening -p \"x^2-y*z^2\" -g 0.1 -a -2 -A 2 -v Singular\n - whitney : x^2-y*z^2 \n - 4lines : x*y*(y-x)*(y-z*x) \n - cone : z^2-x^2-y^2 \n - simonU : x^2-z*y^2+x^4+y^4 \n - cayley3 : 4*(x^2 + y^2 + z^2) + 16*x*y*z - 1 \n - crixxi : -0.9*(y^2+z^2-1)^2-(x^2+y^2-1)^3 \n Some other examples (more difficult): \n 3dImplicitSurfaceExtractorByThickening -a -2 -A 2 -p \"((y^2+z^2-1)^2-(x^2+y^2-1)^3)*(y*(x-1)^2-z*(x+1))^2\" -g 0.025 -e 1e-6 -n 50000 -v Singular -t 0.5 -P Newton \n 3dImplicitSurfaceExtractorByThickening -a -2 -A 2 -p \"(x^5-4*z^3*y^2)*((x+y)^2-(z-x)^3)\" -g 0.025 -e 1e-6 -n 50000 -v Singular -t 0.05 -P Newton "</span>);</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  app.add_option(<span class="stringliteral">"-p,--polynomial,1"</span>, poly_str, <span class="stringliteral">"the implicit polynomial whose zero-level defines the shape of interest."</span> )</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  ->required();</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  app.add_option(<span class="stringliteral">"--minAABB,-a"</span>,min_x, <span class="stringliteral">"the min value of the AABB bounding box (domain)"</span> , <span class="keyword">true</span>);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  app.add_option(<span class="stringliteral">"--maxAABB,-A"</span>,max_x, <span class="stringliteral">"the max value of the AABB bounding box (domain)"</span> , <span class="keyword">true</span>);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  app.add_option(<span class="stringliteral">"--gridstep,-g"</span>, h, <span class="stringliteral">"the gridstep that defines the digitization (often called h)."</span>, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  app.add_option(<span class="stringliteral">"--thickness,-t"</span>,t, <span class="stringliteral">"the thickening parameter for the implicit surface."</span> , <span class="keyword">true</span>);</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  app.add_option(<span class="stringliteral">"--project,-P"</span>, project, <span class="stringliteral">"defines the projection: either No or Newton."</span>, <span class="keyword">true</span>)</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  -> check(CLI::IsMember({<span class="stringliteral">"No"</span>, <span class="stringliteral">"Newton"</span>}));</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  app.add_option(<span class="stringliteral">"--epsilon,-e"</span>, epsilon, <span class="stringliteral">"the maximum precision relative to the implicit surface in the Newton approximation of F=0."</span>, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  app.add_option(<span class="stringliteral">"--obj,-o"</span>, OBJexport, <span class="stringliteral">"OBJ export filename."</span>);</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  app.add_option(<span class="stringliteral">"--max_iter,-n"</span>, max_iter, <span class="stringliteral">"the maximum number of iteration in the Newton approximation of F=0."</span>, <span class="keyword">true</span> );</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  app.add_option(<span class="stringliteral">"--view,-v"</span>, view, <span class="stringliteral">"specifies if the surface is viewed as is (Normal) or if places close to singularities are highlighted (Singular), or if unsure places should not be displayed (Hide)."</span>,<span class="keyword">true</span> )</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  -> check(CLI::IsMember({<span class="stringliteral">"Singular"</span>, <span class="stringliteral">"Normal"</span>, <span class="stringliteral">"Hide"</span>}));</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  app.get_formatter()->column_width(40);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  CLI11_PARSE(app, argc, argv);</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="comment">// END parse command line using CLI ----------------------------------------------</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  </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>  <span class="comment">//-------------- read polynomial and creating 3d implicit fct -----------------</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</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">"Reading polynomial and creating 3D implicit function"</span> );</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  Polynomial3 poly;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  Polynomial3Reader reader;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  string::const_iterator iter = reader.read( poly, poly_str.begin(), poly_str.end() );</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">if</span> ( iter != poly_str.end() )</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  {</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</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#a1e786a1f3b1047e92b73c82f67e3c295">error</a>() << <span class="stringliteral">"ERROR reading polynomial: I read only <"</span> << poly_str.substr( 0, iter - poly_str.begin() )</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  << <span class="stringliteral">">, and I built P="</span> << poly << std::endl;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">return</span> 2;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  }</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="comment">// Creating implicit shape and storing it with smart pointer for automatic deallocation.</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1CountedPtr.html">CountedPtr<ImplicitShape3></a> shape( <span class="keyword">new</span> ImplicitShape3( poly ) );</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  </div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  RealPoint3 p1( min_x, min_x, min_x );</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  RealPoint3 p2( max_x, max_x, max_x );</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="comment">// Creating digitized shape and storing it with smart pointer for automatic deallocation.</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1CountedPtr.html">CountedPtr<ImplicitDigitalShape3></a> dshape( <span class="keyword">new</span> ImplicitDigitalShape3() );</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  dshape->attach( *shape );</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  dshape->init( p1, p2, RealVector3( h, h, h ) );</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  Domain3 domain3 = dshape->getDomain();</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  KSpace3 <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>;</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a15dcbcaae831dd1c36090e6336c177d4">init</a>( domain3.lowerBound(), domain3.upperBound(), <span class="keyword">true</span> );</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- domain is "</span> << domain3 << std::endl;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</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="l00355"></a><span class="lineno"> 355</span>  </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="comment">//-------------- read polynomial and creating 3d implicit fct -----------------</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">"Extracting thickened isosurface [-t,+t] of 3D polynomial. "</span> );</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CubicalCellData.html">CubicalCellData</a> unsure_data( 0 );</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/structDGtal_1_1CubicalCellData.html">CubicalCellData</a> sure_data( CC3::FIXED );</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  CC3 complex3( K3 );</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">for</span> ( Domain3::ConstIterator it = domain3.begin(), itE = domain3.end(); it != itE; ++it )</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  {</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  Cell3 spel = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ae18d91df7bc2c7822eb75b13b03e963b">uSpel</a>( *it );</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="comment">// RealPoint3 px = dshape->embed( *it );</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  RealPoint3 px = dshape->embed( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab09c69b9ad69da8062e0d6a83b6d9342">uKCoords</a>( spel ) - Point3::diagonal( 1 ) ) / 2.0;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  Ring s = (*shape)( px );</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">if</span> ( (-t <= s ) && ( s <= t ) ) complex3.insertCell( spel, unsure_data );</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- K[-t,+t] = "</span> << complex3 << endl;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  complex3.close();</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- Cl K[-t,+t] = "</span> << complex3 << endl;</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  std::vector<Cell3> separating_cells;</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  std::back_insert_iterator< std::vector<Cell3> > outItSurface( separating_cells );</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Surfaces.html">Surfaces<KSpace3>::uWriteBoundary</a>( outItSurface,</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  K3, *dshape, domain3.lowerBound(), domain3.upperBound() );</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- separating S = "</span> << separating_cells.size() << <span class="stringliteral">" 2-cells."</span> << endl;</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  complex3.insertCells( separating_cells.begin(), separating_cells.end(), sure_data );</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordflow">for</span> ( std::vector<Cell3>::const_iterator it = separating_cells.begin(), itE = separating_cells.end(); it != itE; ++it )</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  {</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  Cells3 bdry = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a1347725d88bfa0013087e5e12349061f">uFaces</a>( *it );</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="keywordflow">for</span> ( Cells3::const_iterator itBdry = bdry.begin(), itBdryE = bdry.end(); itBdry != itBdryE; ++itBdry )</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  complex3.insertCell( *itBdry, sure_data );</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>  separating_cells.clear();</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- Cl K[-t,+t] + Cl S = "</span> << complex3 << endl;</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</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="l00387"></a><span class="lineno"> 387</span>  </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="comment">//-------------- Get boundary and inner cells --------------------------------</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</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">"Get boundary and inner cells. "</span> );</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  std::vector<Cell3> inner;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  std::vector<Cell3> bdry;</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  functions::filterCellsWithinBounds</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  ( complex3, <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab09c69b9ad69da8062e0d6a83b6d9342">uKCoords</a>( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#abc8ca366effbba3d18b0f0bf4d0270c2">lowerCell</a>() ), <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ab09c69b9ad69da8062e0d6a83b6d9342">uKCoords</a>( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a0cc99c056850e1dca2680f2b107f8f8f">upperCell</a>() ),</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  std::back_inserter( bdry ), std::back_inserter( inner ) );</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- there are "</span> << inner.size() << <span class="stringliteral">" inner cells."</span> << endl;</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- there are "</span> << bdry.size() << <span class="stringliteral">" boundary cells."</span> << endl;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</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="l00398"></a><span class="lineno"> 398</span>  </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="comment">//-------------- Compute priority function -----------------------------------</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</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">"Compute priority function. "</span> );</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a8fbe8c8d47ca5c36ced14284ac62613d">Dimension</a> d = complex3.dim();</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">for</span> ( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a8fbe8c8d47ca5c36ced14284ac62613d">Dimension</a> i = 0; i <= d; ++i )</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="keywordflow">for</span> ( CellMapIterator it = complex3.begin( i ), itE = complex3.end( i ); it != itE; ++it )</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  {</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  Ring v = getValue( complex3, cell, *shape, dshape );</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  v = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1functions.html#af95dcf36f806f7fc15626ca6b1c27d22">abs</a>( 10000.0*v );</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">if</span> ( v > 10000000.0 ) v = 10000000.0;</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  it->second.data &= ~CC3::VALUE;</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  it->second.data |= (<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a27c59126488e9c545120667959d2fc4e">DGtal::uint32_t</a>) floor( v );</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="comment">// std::cout << " " << it->second.data;</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  }</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  }</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</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="l00416"></a><span class="lineno"> 416</span>  </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="comment">//-------------- Collapse boundary -------------------------------------------</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</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">"Collapse boundary. "</span> );</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keyword">typename</span> CC3::DefaultCellMapIteratorPriority priority;</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  CC3 bdry_complex3( K3 );</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">for</span> ( std::vector<Cell3>::const_iterator it = bdry.begin(), itE = bdry.end(); it != itE; ++it )</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>  Cell3 cell = *it;</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a8fbe8c8d47ca5c36ced14284ac62613d">Dimension</a> d = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a2330dc5dba382df89801c4e420f95fa8">uDim</a>( cell );</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  CellMapConstIterator cmIt = complex3.findCell( d, cell );</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  bdry_complex3.insertCell( d, cell, cmIt->second );</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- [before collapse] K_bdry ="</span> << bdry_complex3 << endl;</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  functions::collapse( bdry_complex3, bdry.begin(), bdry.end(), priority, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span> );</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- [after collapse] K_bdry ="</span> << bdry_complex3 << endl;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keywordflow">for</span> ( std::vector<Cell3>::const_iterator it = bdry.begin(), itE = bdry.end(); it != itE; ++it )</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  {</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  Cell3 cell = *it;</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a8fbe8c8d47ca5c36ced14284ac62613d">Dimension</a> d = <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal_1_1Z3i.html#a4b7ee43018f9144683fab486eef6f205">K3</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#a2330dc5dba382df89801c4e420f95fa8">uDim</a>( cell );</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  CellMapConstIterator cmIt = bdry_complex3.findCell( d, cell );</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="keywordflow">if</span> ( cmIt != bdry_complex3.end( d ) ) {</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  CellMapIterator cmIt2 = complex3.findCell( d, cell );</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  cmIt2->second = sure_data;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  }</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>  <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="l00442"></a><span class="lineno"> 442</span>  </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="comment">//-------------- Collapse all -------------------------------------------</span></div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</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">"Collapse all. "</span> );</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  std::copy( bdry.begin(), bdry.end(), std::back_inserter( inner ) );</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  functions::collapse( complex3, inner.begin(), inner.end(), priority, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span> );</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</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#ad054990834d2763627166540087a2980">info</a>() << <span class="stringliteral">"- K = "</span> << complex3 << endl;</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</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="l00449"></a><span class="lineno"> 449</span>  </div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="comment">//-------------- Project complex onto surface --------------------------------</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</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">"Project complex onto surface. "</span> );</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  std::vector<RealPoint3> points;</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">if</span> ( project == <span class="stringliteral">"Newton"</span> )</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  projectComplex( points, complex3, *shape, dshape, epsilon, max_iter, h * sqrt(3.0));</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  doNotProjectComplex( points, complex3, *shape, dshape );</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</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="l00458"></a><span class="lineno"> 458</span>  </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="comment">//-------------- Create Mesh -------------------------------------------</span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</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">"Create Mesh. "</span> );</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordtype">bool</span> highlight = ( view == <span class="stringliteral">"Singular"</span> );</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keywordtype">bool</span> hide = ( view == <span class="stringliteral">"Hide"</span> );</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Mesh.html">Mesh<RealPoint3></a> mesh( <span class="keyword">true</span> );</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  std::map<Cell3,unsigned int> indices;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordtype">int</span> idx = 0;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 0 ), itE = complex3.end( 0 ); it != itE; ++it, ++idx )</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  {</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  indices[ cell ] = idx;</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  mesh.addVertex( points[ idx ] );</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  }</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 2 ), itE = complex3.end( 2 ); it != itE; ++it )</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  {</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="keywordtype">bool</span> fixed = it->second.data & CC3::FIXED;</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  Cells3 bdry = complex3.cellBoundary( cell, <span class="keyword">true</span> );</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  std::vector<unsigned int> face_idx;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordflow">for</span> ( Cells3::const_iterator itC = bdry.begin(), itCE = bdry.end(); itC != itCE; ++itC )</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  {</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">if</span> ( complex3.dim( *itC ) == 0 )</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  face_idx.push_back( indices[ *itC ] );</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  }</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keywordflow">if</span> ( ( ! fixed ) && hide ) <span class="keywordflow">continue</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/classDGtal_1_1Color.html">Color</a> color = highlight</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  ? ( fixed ? Color::White : <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Color.html">Color</a>(128,255,128) )</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  : Color::White;</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  RealVector3 diag03 = points[ face_idx[ 0 ] ] - points[ face_idx[ 3 ] ];</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  RealVector3 diag12 = points[ face_idx[ 1 ] ] - points[ face_idx[ 2 ] ];</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordflow">if</span> ( diag03.dot( diag03 ) <= diag12.dot( diag12 ) )</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  {</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  mesh.addTriangularFace( face_idx[ 0 ], face_idx[ 1 ], face_idx[ 3 ], color );</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  mesh.addTriangularFace( face_idx[ 0 ], face_idx[ 3 ], face_idx[ 2 ], color );</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  }</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  {</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  mesh.addTriangularFace( face_idx[ 0 ], face_idx[ 1 ], face_idx[ 2 ], color );</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  mesh.addTriangularFace( face_idx[ 1 ], face_idx[ 3 ], face_idx[ 2 ], color );</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>  <span class="comment">//mesh.addQuadFace( face_idx[ 0 ], face_idx[ 1 ], face_idx[ 3 ], face_idx[ 2 ], color );</span></div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  }</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</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="l00502"></a><span class="lineno"> 502</span>  </div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  </div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">//-------------- export OBJ -------------------------------------------</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">if</span> (OBJexport != <span class="stringliteral">""</span>)</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  {</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Board3D.html">Board3D<Space3,KSpace3></a> board( K3 );</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">// Display lines that are not in the mesh.</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  board<<mesh;</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 1 ), itE = complex3.end( 1 ); it != itE; ++it )</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  {</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keywordtype">bool</span> fixed = it->second.data & CC3::FIXED;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  std::vector<Cell3> dummy;</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  std::back_insert_iterator< std::vector<Cell3> > outIt( dummy );</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  complex3.directCoFaces( outIt, cell );</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordflow">if</span> ( ! dummy.empty() ) <span class="keywordflow">continue</span>;</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>  Cells3 bdry = complex3.cellBoundary( cell, <span class="keyword">true</span> );</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  Cell3 v0 = *(bdry.begin() );</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  Cell3 v1 = *(bdry.begin() + 1);</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">if</span> ( ( ! fixed ) && hide ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Color.html">Color</a> color = highlight</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  ? ( fixed ? Color::White : <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Color.html">Color</a>(128,255,128) )</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  : Color::White;</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  board.setLineColor( color );</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  board.addLine( points[ indices[ v0 ] ], points[ indices[ v1 ] ], h/2.0 );</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>  board.saveOBJ(OBJexport);</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  }</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="comment">//-------------- View surface -------------------------------------------</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  QApplication application(argc,argv);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Viewer3D.html">Viewer3D<Space3,KSpace3></a> viewer( K3 );</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  viewer.setWindowTitle(<span class="stringliteral">"Implicit surface viewer by thickening"</span>);</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  viewer.show();</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  viewer << mesh;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="comment">// Display lines that are not in the mesh.</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="keywordflow">for</span> ( CellMapConstIterator it = complex3.begin( 1 ), itE = complex3.end( 1 ); it != itE; ++it )</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>  Cell3 cell = it->first;</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordtype">bool</span> fixed = it->second.data & CC3::FIXED;</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  std::vector<Cell3> dummy;</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  std::back_insert_iterator< std::vector<Cell3> > outIt( dummy );</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  complex3.directCoFaces( outIt, cell );</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="keywordflow">if</span> ( ! dummy.empty() ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  </div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  Cells3 bdry = complex3.cellBoundary( cell, <span class="keyword">true</span> );</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  Cell3 v0 = *(bdry.begin() );</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  Cell3 v1 = *(bdry.begin() + 1);</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <span class="keywordflow">if</span> ( ( ! fixed ) && hide ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Color.html">Color</a> color = highlight</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  ? ( fixed ? Color::White : <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Color.html">Color</a>(128,255,128) )</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  : Color::White;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  viewer.setLineColor( color );</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  viewer.addLine( points[ indices[ v0 ] ], points[ indices[ v1 ] ], h/2.0 );</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  }</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  viewer << Viewer3D<Space3,KSpace3>::updateDisplay;</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">return</span> application.exec();</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> }</div>
<div class="ttc" id="a3dHeightMapViewer_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="3dHeightMapViewer_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> <a href="3dHeightMapViewer_8cpp_source.html#l00206">3dHeightMapViewer.cpp:206</a></div></div>
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