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ATVu2v0_8h_source.html
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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="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#if defined(ATVu2v0_RECURSES)</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#error Recursive header files inclusion detected in ATVu2v0.h</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#else </span><span class="comment">// defined(ATVu2v0_RECURSES)</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span>#define ATVu2v0_RECURSES</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">#if !defined ATVu2v0_h</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#define ATVu2v0_h</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Inclusions</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// always include EigenSupport.h before any other Eigen headers</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "DGtal/math/linalg/EigenSupport.h"</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "DGtal/base/Common.h"</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "DGtal/dec/DiscreteExteriorCalculus.h"</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "DGtal/dec/DiscreteExteriorCalculusSolver.h"</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "DGtal/dec/DiscreteExteriorCalculusFactory.h"</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "DECImageHelpers.h"</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</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> <span class="keyword">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="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// template class ATVu2v0</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"></span> <span class="keyword">template</span> < <span class="keyword">typename</span> TKSpace,</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">typename</span> TLinearAlgebra = EigenLinearAlgebraBackend ></div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html"> 77</a></span>  <span class="keyword">struct </span><a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> : <span class="keyword">public</span> <a class="code" href="structDGtal_1_1DECImage2D.html">DECImage2D</a><TKSpace, TLinearAlgebra></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a68df9579713f513813602aa1d5c9dbc4"> 79</a></span>  <span class="keyword">typedef</span> TKSpace <a class="code" href="structDGtal_1_1ATVu2v0.html#a68df9579713f513813602aa1d5c9dbc4">KSpace</a>;</div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a405acff7297d7eece3e74eaaa1f8135d"> 80</a></span>  <span class="keyword">typedef</span> TLinearAlgebra <a class="code" href="structDGtal_1_1ATVu2v0.html#a405acff7297d7eece3e74eaaa1f8135d">LinearAlgebra</a>;</div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a90fd716431662bdaa057615bac3ce47f"> 81</a></span>  <span class="keyword">typedef</span> <a class="code" href="structDGtal_1_1DECImage2D.html">DECImage2D<TKSpace, TLinearAlgebra></a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a90fd716431662bdaa057615bac3ce47f">Base</a>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a45b56cccdf41b5c9e97cc0ebf771c36c">Base::Space</a>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a8e4496742d93e9eb891a91d2ffe07a1d">Base::Point</a>;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#aa02db6bd4b95743f22f461076eee8acb">Base::RealVector</a>;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a60ba1c439c646b28d2a1bdd948631dd7">Base::Scalar</a>;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#af230cf422b6145defbda7f29d2edd0e8">Base::SCell</a>;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a4c01079302f77f168f86ffdf3a16cc38">Base::Domain</a>;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#abb23cd33e75630a61d6d8d190ad68830">Base::Calculus</a>;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a96af5dc2f62a41e3632b382109991979">Base::Index</a>;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a5fb00e81feaf4d031b02b0519e8b6425">Base::PrimalForm0</a>;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a339ca8947b3769797d9c7ec2db47efef">Base::PrimalForm1</a>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a73348074a5d57c5caec4e42eff28c8c4">Base::PrimalForm2</a>;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a8bbd8b1368136d35190474f1b61172cd">Base::PrimalIdentity0</a>;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#adb3d067f06802894ec13aceccc289b05">Base::PrimalIdentity1</a>;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#ad0f1e20d272f0e9110411d412911f718">Base::PrimalIdentity2</a>;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a5e406714100e6b338e3ea76dbccfb930">Base::PrimalDerivative0</a>;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a74e0cfdd65fdc032048dc348054d11d2">Base::PrimalDerivative1</a>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a1ddadeb3ee88fc52a6415a1980e424d9">Base::DualDerivative0</a>;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#af8798234733202f2d1372dcca7b8b007">Base::DualDerivative1</a>;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a37be448ecf4832f5c53bbd6671aaa1a0">Base::PrimalAntiderivative1</a>;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#af168fff1e61dd5d24b4ab2d9381a7e62">Base::PrimalAntiderivative2</a>;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a0a20c3b31d9ab8595ac95c98abf668c0">Base::DualAntiderivative1</a>;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#aa82450aa764c88ad6646d71f89b2cc5c">Base::DualAntiderivative2</a>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#adea02f9c858e9e29b6e6871597d3bdfa">Base::PrimalHodge0</a>;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#ad0611f63fb1dcd2e003e742d70e6224e">Base::PrimalHodge1</a>;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a1fbb33cba0a66c334f26bcb3cab18cde">Base::PrimalHodge2</a>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#aeae1f0fef376e88c36978130b769b2ec">Base::DualHodge0</a>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#ab902b7f4cf4e2837311ffcb7cbcdba00">Base::DualHodge1</a>;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keyword">using</span> <span class="keyword">typename</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a3731ef2fc31b6e75cb27ac5051e5fec0">Base::DualHodge2</a>;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a3041eccbb9dfa079e07e2c78b3dad84f">Base::calculus</a>;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a14917c879e65f590b00290639a07952e">Base::verbose</a>;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a2c8a3a42a1c57467a93a54b6966f2bda">Base::D0</a>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#af82a69b501567cec4552cb2274732845">Base::D1</a>;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a1a3c046736c8f6b09ce47f7316ab9dd9">Base::dual_D0</a>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#affe6aa43745d1e77856ceb68ab4f339e">Base::dual_D1</a>;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a80c0d7c61acd87171779053c4c63d849">Base::primal_h0</a>;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a8dcc13cb4c2c2e98d28223676c296f09">Base::primal_h1</a>;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a28ddbaa8ffe691a3fdfbee9f20c686c4">Base::primal_h2</a>;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a3272ff7259f7e4079cd2c6b10b0c4aaa">Base::dual_h0</a>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a39696351afed6cc48e959205c6946d44">Base::dual_h1</a>;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a798a6d12a28ff903d8ed64ae1f18605a">Base::dual_h2</a>;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a149795f8ab23533d73f61cb25b98e563"> 123</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> LinearAlgebra::SolverSimplicialLLT <a class="code" href="structDGtal_1_1ATVu2v0.html#a149795f8ab23533d73f61cb25b98e563">LinearAlgebraSolver</a>;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">DiscreteExteriorCalculusSolver<Calculus, LinearAlgebraSolver, 2, PRIMAL, 2, PRIMAL></a> </div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aa351a769e189657dea239013792399d5"> 125</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#aa351a769e189657dea239013792399d5">SolverU</a>;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">DiscreteExteriorCalculusSolver<Calculus, LinearAlgebraSolver, 0, PRIMAL, 0, PRIMAL></a> </div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a07e7bd252c5757f7e147366e4ebcbf1e"> 127</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a07e7bd252c5757f7e147366e4ebcbf1e">SolverV</a>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
<div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aec364c31db46228a6754496954eb74fb"> 129</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#aec364c31db46228a6754496954eb74fb">BOOST_STATIC_ASSERT</a>(( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ae2b2dcf34c36a5e3eae4bf13291f1578">KSpace::dimension</a> == 2 ));</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// ----------------------- Standard services ------------------------------</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a1c380371aaf58a02f1a6dd143d37a9b5"> 137</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a1c380371aaf58a02f1a6dd143d37a9b5">~ATVu2v0</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a54c88943d6f575f17603e6c6f3c2ba2e"> 143</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a54c88943d6f575f17603e6c6f3c2ba2e">ATVu2v0</a>( <span class="keywordtype">int</span> _verbose = 1 );</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aaf6411c2cd9f097c61c617666a705c98"> 148</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#aaf6411c2cd9f097c61c617666a705c98">init</a>( <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clone.html">Clone<KSpace></a> K );</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a53be2140ab40061bff0acf4846b246b1"> 154</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a53be2140ab40061bff0acf4846b246b1">ATVu2v0</a> ( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> & other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a92d80142c3a425d323e519a077a282f4"> 160</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a92d80142c3a425d323e519a077a282f4">ATVu2v0</a> ( <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> && other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ad097f5012eec74c87684a87b18600bff"> 167</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> & <a class="code" href="structDGtal_1_1ATVu2v0.html#ad097f5012eec74c87684a87b18600bff">operator= </a>( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> & other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a1a4ef901311f3f1dc00742fef461848e"> 174</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> & <a class="code" href="structDGtal_1_1ATVu2v0.html#ad097f5012eec74c87684a87b18600bff">operator= </a>( <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0</a> && other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> Image, <span class="keyword">typename</span> Function></div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ae0e0a292d3a39847646e864a1ee4cf5d"> 205</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#ae0e0a292d3a39847646e864a1ee4cf5d">addInput</a>( <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Image.html">Image</a>& image,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">const</span> Function& f,</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordtype">bool</span> perfect_data = <span class="keyword">false</span> );</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
<div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a433fee45a5bd72be4d6aca4e72f3943c"> 210</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a433fee45a5bd72be4d6aca4e72f3943c">setMetricAverage</a>( <span class="keywordtype">bool</span> average );</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  </div>
<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#af54d6b6ca3728a4ed863a50976196270"> 215</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#af54d6b6ca3728a4ed863a50976196270">setUFromInput</a>();</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a211d20b65dfc7fd21220c3504d3922aa"> 222</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a211d20b65dfc7fd21220c3504d3922aa">setUFromInputAndMask</a>();</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  </div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ae42fb8ecb2d0afbb4147c2d8ebe3af7f"> 232</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#ae42fb8ecb2d0afbb4147c2d8ebe3af7f">setAlpha</a>( <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _alpha );</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  </div>
<div class="line"><a name="l00249"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a85c8bac65daba6fda8eef7ef1797ac67"> 249</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a85c8bac65daba6fda8eef7ef1797ac67">setAlpha</a>( <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _alpha, <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm2</a>& m );</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
<div class="line"><a name="l00261"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aa15557f33424531da9b01720d773b203"> 261</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#aa15557f33424531da9b01720d773b203">setLambda</a>( <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _lambda );</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  </div>
<div class="line"><a name="l00273"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#afb366acf393e4df6ada9b8c0a0a930af"> 273</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#afb366acf393e4df6ada9b8c0a0a930af">setEpsilon</a>( <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _epsilon );</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  </div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a174d6c847aef337e3302499034544d1a"> 276</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a174d6c847aef337e3302499034544d1a">computeSNR</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
<div class="line"><a name="l00279"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a9b5e29f765b82185df7248f9b8a56d2b"> 279</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a9b5e29f765b82185df7248f9b8a56d2b">getAlpha</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a74c4bce906d78167cde59c5eda3ba11e">alpha</a>; }</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
<div class="line"><a name="l00282"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aabc686376c32e270a6e4fc04b7e42b25"> 282</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#aabc686376c32e270a6e4fc04b7e42b25">getLambda</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#acae6b9c24e1591e3d36616c271aa6920">lambda</a>; }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  </div>
<div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a0fa2365eb5e8c03872c6bac7a299c018"> 285</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a0fa2365eb5e8c03872c6bac7a299c018">getEpsilon</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a9795cf423675f19a590dc141a9cd1f68">epsilon</a>; }</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  </div>
<div class="line"><a name="l00289"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a056b1a8b49ec815d63f532ee5acf7f6e"> 289</a></span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm2</a>& <a class="code" href="structDGtal_1_1ATVu2v0.html#a056b1a8b49ec815d63f532ee5acf7f6e">getG</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#aa707a72df047c40dace2e0b209e67afe">g2</a>.at( i ); }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  </div>
<div class="line"><a name="l00293"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a9505db33459f55558bf6ebdb38f782c8"> 293</a></span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm2</a>& <a class="code" href="structDGtal_1_1ATVu2v0.html#a9505db33459f55558bf6ebdb38f782c8">getU</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a9968a1c415717bbba3f90734adf74c39">u2</a>.at( i ); }</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  </div>
<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#adfe756230f30c134dd2e8cbfddc8368e"> 296</a></span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm0</a>& <a class="code" href="structDGtal_1_1ATVu2v0.html#adfe756230f30c134dd2e8cbfddc8368e">getV</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a1d8cdfa95f5fb68d1442d4da582e94be">v0</a>; }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  </div>
<div class="line"><a name="l00299"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#abac2035debfd68262df236d8e195545b"> 299</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#abac2035debfd68262df236d8e195545b">size0</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a1d8cdfa95f5fb68d1442d4da582e94be">v0</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html#a19e859f462f1d851550465b7fcc2c68d">myContainer</a>.rows(); }</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>  <span class="comment">// /// @return the size of a 1-form vector</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="comment">// unsigned int size1() const { return v1.myContainer.rows(); }</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="comment">// ----------------------- Solver --------------------------------------</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
<div class="line"><a name="l00309"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a15e795b55a490d0157e6bff107bc4700"> 309</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a15e795b55a490d0157e6bff107bc4700">solveU</a>();</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
<div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#af52cd55d8d2f3c14bf8b10e8a7bf4e21"> 313</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#af52cd55d8d2f3c14bf8b10e8a7bf4e21">solveV</a>();</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  </div>
<div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ae947d785908921d255371725869cc7d3"> 319</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#ae947d785908921d255371725869cc7d3">computeVariation</a>();</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  </div>
<div class="line"><a name="l00323"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a919c103b858f21483ac50e1e0e2953fa"> 323</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a919c103b858f21483ac50e1e0e2953fa">checkV</a>();</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>  <span class="comment">// ----------------------- Interface --------------------------------------</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  </div>
<div class="line"><a name="l00332"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a1f02ea62b067a9647bbb9b0bb4aff426"> 332</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a1f02ea62b067a9647bbb9b0bb4aff426">selfDisplay</a> ( std::ostream & out ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  </div>
<div class="line"><a name="l00338"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aefc479cc694fbd728b55650ea0d30766"> 338</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#aefc479cc694fbd728b55650ea0d30766">isValid</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </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">// ------------------------- Public Datas ------------------------------</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  </div>
<div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ad89c63a4f669d0a6ab0bf45e606fae4b"> 345</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#ad89c63a4f669d0a6ab0bf45e606fae4b">delta_v_l1</a>;</div>
<div class="line"><a name="l00347"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ae6434ba2436515f332314a604684e6f3"> 347</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#ae6434ba2436515f332314a604684e6f3">delta_v_l2</a>;</div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a297f83ba4cb546b227896d49968682a3"> 349</a></span>  <a class="code" href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a297f83ba4cb546b227896d49968682a3">delta_v_loo</a>;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  </div>
<div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a09b7e354b26f0633e8ddcd40b549adc3"> 352</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalDerivative0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a09b7e354b26f0633e8ddcd40b549adc3">M01</a>;</div>
<div class="line"><a name="l00354"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a7d8d637d1f807db8f99e78ccb5b17d1e"> 354</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalDerivative1</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a7d8d637d1f807db8f99e78ccb5b17d1e">M12</a>;</div>
<div class="line"><a name="l00356"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a31ce2cd5dfa84f15ea20adc330a82368"> 356</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalAntiderivative2</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a31ce2cd5dfa84f15ea20adc330a82368">primal_AD2</a>;</div>
<div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a28a87a66798143d289925391c707e243"> 358</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a28a87a66798143d289925391c707e243">primal_L0</a>;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="comment">// ------------------------- Protected Datas ------------------------------</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  </div>
<div class="line"><a name="l00364"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aa707a72df047c40dace2e0b209e67afe"> 364</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATVu2v0.html#aa707a72df047c40dace2e0b209e67afe">g2</a>;</div>
<div class="line"><a name="l00366"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#affdb6f3dbda3afc80d1713693c54a297"> 366</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATVu2v0.html#affdb6f3dbda3afc80d1713693c54a297">i2</a>;</div>
<div class="line"><a name="l00368"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a9968a1c415717bbba3f90734adf74c39"> 368</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATVu2v0.html#a9968a1c415717bbba3f90734adf74c39">u2</a>;</div>
<div class="line"><a name="l00370"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a1d8cdfa95f5fb68d1442d4da582e94be"> 370</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a1d8cdfa95f5fb68d1442d4da582e94be">v0</a>;</div>
<div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a2616f5d66fbacc31053693a2fa0dc1cd"> 372</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a2616f5d66fbacc31053693a2fa0dc1cd">former_v0</a>;</div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a74c4bce906d78167cde59c5eda3ba11e"> 374</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a74c4bce906d78167cde59c5eda3ba11e">alpha</a>;</div>
<div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#acae6b9c24e1591e3d36616c271aa6920"> 376</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#acae6b9c24e1591e3d36616c271aa6920">lambda</a>;</div>
<div class="line"><a name="l00378"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a9795cf423675f19a590dc141a9cd1f68"> 378</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#a9795cf423675f19a590dc141a9cd1f68">epsilon</a>;</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  </div>
<div class="line"><a name="l00381"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#aebef8cdb55427346f939ec1e7bd60ad5"> 381</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">SolverU</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#aebef8cdb55427346f939ec1e7bd60ad5">solver_u</a>;</div>
<div class="line"><a name="l00383"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a54014cdbf3133cb1290fd4bf8266630c"> 383</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">SolverV</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a54014cdbf3133cb1290fd4bf8266630c">solver_v</a>;</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  </div>
<div class="line"><a name="l00386"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a2195904ac2ceb5a1450dd99754829921"> 386</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity2</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a2195904ac2ceb5a1450dd99754829921">alpha_Id2</a>;</div>
<div class="line"><a name="l00388"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a5092e7796d8fc276268059066bb6b725"> 388</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATVu2v0.html#a5092e7796d8fc276268059066bb6b725">alpha_g2</a>;</div>
<div class="line"><a name="l00390"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#adc7d656ec841b9bf83fe4b293696544f"> 390</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#adc7d656ec841b9bf83fe4b293696544f">left_V0</a>;</div>
<div class="line"><a name="l00392"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a72385bb97285c212d5e0be93a58ede7f"> 392</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a72385bb97285c212d5e0be93a58ede7f">l_1</a>;</div>
<div class="line"><a name="l00394"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#a99b258cd485da10edbc1d64d3d413e31"> 394</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#a99b258cd485da10edbc1d64d3d413e31">l_over_e_1</a>;</div>
<div class="line"><a name="l00396"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#ac76a2e6b85c48e85e43ee37c480c79c7"> 396</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity0</a> <a class="code" href="structDGtal_1_1ATVu2v0.html#ac76a2e6b85c48e85e43ee37c480c79c7">l_over_e_Id0</a>; </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  </div>
<div class="line"><a name="l00399"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATVu2v0.html#affe27473fddd268dfa4bfb64490cb14f"> 399</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATVu2v0.html#affe27473fddd268dfa4bfb64490cb14f">metric_average</a>;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="comment">// ------------------------- Private Datas --------------------------------</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keyword">private</span>:</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="comment">// ------------------------- Hidden services ------------------------------</span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  </div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="comment">// ------------------------- Internals ------------------------------------</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keyword">private</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="comment">// end of class ATVu2v0</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> TKSpace, <span class="keyword">typename</span> TLinearAlgebra></div>
<div class="line"><a name="l00420"></a><span class="lineno"><a class="line" href="namespaceDGtal.html#abc7f048f5810c40af66188e5c5a6b93c"> 420</a></span>  std::ostream&</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a6c5c11e869e737331dc7555ccd76fd6d">operator<< </a>( std::ostream & out, <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATVu2v0.html">ATVu2v0<TKSpace, TLinearAlgebra></a> & <span class="keywordtype">object</span> );</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="comment">// namespace DGtal</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="comment">// Includes inline functions.</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="comment">//#include "DGtal/dec/ATVu2v0.ih"</span></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="preprocessor">#include "ATVu2v0.ih"</span></div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  </div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> <span class="comment">// //</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment"></span> </div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="preprocessor">#endif </span><span class="comment">// !defined ATVu2v0_h</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="preprocessor">#undef ATVu2v0_RECURSES</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="preprocessor">#endif </span><span class="comment">// else defined(ATVu2v0_RECURSES)</span></div>
<div class="ttc" id="aclassDGtal_1_1Clone_html"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Clone.html">DGtal::Clone</a></div></div>
<div class="ttc" id="aclassDGtal_1_1DiscreteExteriorCalculusSolver_html"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">DGtal::DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 2, PRIMAL, 2, PRIMAL ></a></div></div>
<div class="ttc" id="aclassDGtal_1_1Image_html"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1Image.html">DGtal::Image</a></div></div>
<div class="ttc" id="aclassDGtal_1_1KForm_html"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">DGtal::KForm</a></div></div>
<div class="ttc" id="aclassDGtal_1_1KForm_html_a19e859f462f1d851550465b7fcc2c68d"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html#a19e859f462f1d851550465b7fcc2c68d">DGtal::KForm::myContainer</a></div><div class="ttdeci">Container myContainer</div></div>
<div class="ttc" id="aclassDGtal_1_1KhalimskySpaceND_html_ae2b2dcf34c36a5e3eae4bf13291f1578"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KhalimskySpaceND.html#ae2b2dcf34c36a5e3eae4bf13291f1578">DGtal::KhalimskySpaceND::dimension</a></div><div class="ttdeci">static const constexpr Dimension dimension</div></div>
<div class="ttc" id="aclassDGtal_1_1LinearOperator_html"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">DGtal::LinearOperator</a></div></div>
<div class="ttc" id="anamespaceDGtal_html"><div class="ttname"><a href="namespaceDGtal.html">DGtal</a></div></div>
<div class="ttc" id="anamespaceDGtal_html_a6c5c11e869e737331dc7555ccd76fd6d"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a6c5c11e869e737331dc7555ccd76fd6d">DGtal::operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &out, const ClosedIntegerHalfPlane< TSpace > &object)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html">DGtal::ATVu2v0</a></div><div class="ttdoc">Aim: This class solves a variant of Ambrosio-Tortorelli functional in a plane for u a (vector of) 2-f...</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00077">ATVu2v0.h:78</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a056b1a8b49ec815d63f532ee5acf7f6e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a056b1a8b49ec815d63f532ee5acf7f6e">DGtal::ATVu2v0::getG</a></div><div class="ttdeci">const PrimalForm2 & getG(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00289">ATVu2v0.h:289</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a07e7bd252c5757f7e147366e4ebcbf1e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a07e7bd252c5757f7e147366e4ebcbf1e">DGtal::ATVu2v0::SolverV</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 0, PRIMAL, 0, PRIMAL > SolverV</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00127">ATVu2v0.h:127</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a09b7e354b26f0633e8ddcd40b549adc3"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a09b7e354b26f0633e8ddcd40b549adc3">DGtal::ATVu2v0::M01</a></div><div class="ttdeci">PrimalDerivative0 M01</div><div class="ttdoc">point_to_edge average operator</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00352">ATVu2v0.h:352</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a0fa2365eb5e8c03872c6bac7a299c018"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a0fa2365eb5e8c03872c6bac7a299c018">DGtal::ATVu2v0::getEpsilon</a></div><div class="ttdeci">Scalar getEpsilon() const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00285">ATVu2v0.h:285</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a149795f8ab23533d73f61cb25b98e563"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a149795f8ab23533d73f61cb25b98e563">DGtal::ATVu2v0::LinearAlgebraSolver</a></div><div class="ttdeci">LinearAlgebra::SolverSimplicialLLT LinearAlgebraSolver</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00123">ATVu2v0.h:123</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a15e795b55a490d0157e6bff107bc4700"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a15e795b55a490d0157e6bff107bc4700">DGtal::ATVu2v0::solveU</a></div><div class="ttdeci">bool solveU()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a174d6c847aef337e3302499034544d1a"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a174d6c847aef337e3302499034544d1a">DGtal::ATVu2v0::computeSNR</a></div><div class="ttdeci">Scalar computeSNR() const</div><div class="ttdoc">Computes the SNR of u wrt ideal input (should have been given.</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a1c380371aaf58a02f1a6dd143d37a9b5"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a1c380371aaf58a02f1a6dd143d37a9b5">DGtal::ATVu2v0::~ATVu2v0</a></div><div class="ttdeci">~ATVu2v0()=default</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a1d8cdfa95f5fb68d1442d4da582e94be"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a1d8cdfa95f5fb68d1442d4da582e94be">DGtal::ATVu2v0::v0</a></div><div class="ttdeci">PrimalForm0 v0</div><div class="ttdoc">The v 0-form.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00370">ATVu2v0.h:370</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a1f02ea62b067a9647bbb9b0bb4aff426"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a1f02ea62b067a9647bbb9b0bb4aff426">DGtal::ATVu2v0::selfDisplay</a></div><div class="ttdeci">void selfDisplay(std::ostream &out) const</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a211d20b65dfc7fd21220c3504d3922aa"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a211d20b65dfc7fd21220c3504d3922aa">DGtal::ATVu2v0::setUFromInputAndMask</a></div><div class="ttdeci">void setUFromInputAndMask()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a2195904ac2ceb5a1450dd99754829921"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a2195904ac2ceb5a1450dd99754829921">DGtal::ATVu2v0::alpha_Id2</a></div><div class="ttdeci">PrimalIdentity2 alpha_Id2</div><div class="ttdoc">alpha Id2</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00386">ATVu2v0.h:386</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a2616f5d66fbacc31053693a2fa0dc1cd"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a2616f5d66fbacc31053693a2fa0dc1cd">DGtal::ATVu2v0::former_v0</a></div><div class="ttdeci">PrimalForm0 former_v0</div><div class="ttdoc">The v 0-form at the previous iteration.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00372">ATVu2v0.h:372</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a28a87a66798143d289925391c707e243"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a28a87a66798143d289925391c707e243">DGtal::ATVu2v0::primal_L0</a></div><div class="ttdeci">PrimalIdentity0 primal_L0</div><div class="ttdoc">primal laplace operator on 0-forms</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00358">ATVu2v0.h:358</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a297f83ba4cb546b227896d49968682a3"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a297f83ba4cb546b227896d49968682a3">DGtal::ATVu2v0::delta_v_loo</a></div><div class="ttdeci">Scalar delta_v_loo</div><div class="ttdoc">The Linfinity-norm of variation of v.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00349">ATVu2v0.h:349</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a31ce2cd5dfa84f15ea20adc330a82368"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a31ce2cd5dfa84f15ea20adc330a82368">DGtal::ATVu2v0::primal_AD2</a></div><div class="ttdeci">PrimalAntiderivative2 primal_AD2</div><div class="ttdoc">Antiderivative 2-form -> to 1-form.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00356">ATVu2v0.h:356</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a405acff7297d7eece3e74eaaa1f8135d"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a405acff7297d7eece3e74eaaa1f8135d">DGtal::ATVu2v0::LinearAlgebra</a></div><div class="ttdeci">TLinearAlgebra LinearAlgebra</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00080">ATVu2v0.h:80</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a433fee45a5bd72be4d6aca4e72f3943c"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a433fee45a5bd72be4d6aca4e72f3943c">DGtal::ATVu2v0::setMetricAverage</a></div><div class="ttdeci">void setMetricAverage(bool average)</div><div class="ttdoc">Use metric average to smooth L1-metric effects.</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a5092e7796d8fc276268059066bb6b725"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a5092e7796d8fc276268059066bb6b725">DGtal::ATVu2v0::alpha_g2</a></div><div class="ttdeci">std::vector< PrimalForm2 > alpha_g2</div><div class="ttdoc">alpha g2</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00388">ATVu2v0.h:388</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a53be2140ab40061bff0acf4846b246b1"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a53be2140ab40061bff0acf4846b246b1">DGtal::ATVu2v0::ATVu2v0</a></div><div class="ttdeci">ATVu2v0(const ATVu2v0 &other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a54014cdbf3133cb1290fd4bf8266630c"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a54014cdbf3133cb1290fd4bf8266630c">DGtal::ATVu2v0::solver_v</a></div><div class="ttdeci">SolverV solver_v</div><div class="ttdoc">The solver for 0-form v.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00383">ATVu2v0.h:383</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a54c88943d6f575f17603e6c6f3c2ba2e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a54c88943d6f575f17603e6c6f3c2ba2e">DGtal::ATVu2v0::ATVu2v0</a></div><div class="ttdeci">ATVu2v0(int _verbose=1)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a60ba1c439c646b28d2a1bdd948631dd7"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">DGtal::ATVu2v0::Scalar</a></div><div class="ttdeci">RealVector::Component Scalar</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00748">DECImageHelpers.h:748</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a68df9579713f513813602aa1d5c9dbc4"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a68df9579713f513813602aa1d5c9dbc4">DGtal::ATVu2v0::KSpace</a></div><div class="ttdeci">TKSpace KSpace</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00079">ATVu2v0.h:79</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a72385bb97285c212d5e0be93a58ede7f"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a72385bb97285c212d5e0be93a58ede7f">DGtal::ATVu2v0::l_1</a></div><div class="ttdeci">PrimalForm0 l_1</div><div class="ttdoc">lambda 1</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00392">ATVu2v0.h:392</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a74c4bce906d78167cde59c5eda3ba11e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a74c4bce906d78167cde59c5eda3ba11e">DGtal::ATVu2v0::alpha</a></div><div class="ttdeci">double alpha</div><div class="ttdoc">Smoothness parameter alpha of AT (in 1/area unit)</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00374">ATVu2v0.h:374</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a7d8d637d1f807db8f99e78ccb5b17d1e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a7d8d637d1f807db8f99e78ccb5b17d1e">DGtal::ATVu2v0::M12</a></div><div class="ttdeci">PrimalDerivative1 M12</div><div class="ttdoc">edge_to_face average operator</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00354">ATVu2v0.h:354</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a85c8bac65daba6fda8eef7ef1797ac67"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a85c8bac65daba6fda8eef7ef1797ac67">DGtal::ATVu2v0::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha, const PrimalForm2 &m)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a90fd716431662bdaa057615bac3ce47f"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a90fd716431662bdaa057615bac3ce47f">DGtal::ATVu2v0::Base</a></div><div class="ttdeci">DECImage2D< TKSpace, TLinearAlgebra > Base</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00081">ATVu2v0.h:81</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a919c103b858f21483ac50e1e0e2953fa"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a919c103b858f21483ac50e1e0e2953fa">DGtal::ATVu2v0::checkV</a></div><div class="ttdeci">Scalar checkV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a92d80142c3a425d323e519a077a282f4"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a92d80142c3a425d323e519a077a282f4">DGtal::ATVu2v0::ATVu2v0</a></div><div class="ttdeci">ATVu2v0(ATVu2v0 &&other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a9505db33459f55558bf6ebdb38f782c8"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a9505db33459f55558bf6ebdb38f782c8">DGtal::ATVu2v0::getU</a></div><div class="ttdeci">const PrimalForm2 & getU(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00293">ATVu2v0.h:293</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a9795cf423675f19a590dc141a9cd1f68"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a9795cf423675f19a590dc141a9cd1f68">DGtal::ATVu2v0::epsilon</a></div><div class="ttdeci">double epsilon</div><div class="ttdoc">Thickness of discontinuity set (in length unit).</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00378">ATVu2v0.h:378</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a9968a1c415717bbba3f90734adf74c39"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a9968a1c415717bbba3f90734adf74c39">DGtal::ATVu2v0::u2</a></div><div class="ttdeci">std::vector< PrimalForm2 > u2</div><div class="ttdoc">The u 2-forms.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00368">ATVu2v0.h:368</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a99b258cd485da10edbc1d64d3d413e31"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a99b258cd485da10edbc1d64d3d413e31">DGtal::ATVu2v0::l_over_e_1</a></div><div class="ttdeci">PrimalForm0 l_over_e_1</div><div class="ttdoc">lambda/epsilon 1</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00394">ATVu2v0.h:394</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_a9b5e29f765b82185df7248f9b8a56d2b"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#a9b5e29f765b82185df7248f9b8a56d2b">DGtal::ATVu2v0::getAlpha</a></div><div class="ttdeci">Scalar getAlpha() const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00279">ATVu2v0.h:279</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aa15557f33424531da9b01720d773b203"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aa15557f33424531da9b01720d773b203">DGtal::ATVu2v0::setLambda</a></div><div class="ttdeci">void setLambda(Scalar _lambda)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aa351a769e189657dea239013792399d5"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aa351a769e189657dea239013792399d5">DGtal::ATVu2v0::SolverU</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 2, PRIMAL, 2, PRIMAL > SolverU</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00125">ATVu2v0.h:125</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aa707a72df047c40dace2e0b209e67afe"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aa707a72df047c40dace2e0b209e67afe">DGtal::ATVu2v0::g2</a></div><div class="ttdeci">std::vector< PrimalForm2 > g2</div><div class="ttdoc">The g 2-forms.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00364">ATVu2v0.h:364</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aabc686376c32e270a6e4fc04b7e42b25"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aabc686376c32e270a6e4fc04b7e42b25">DGtal::ATVu2v0::getLambda</a></div><div class="ttdeci">Scalar getLambda() const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00282">ATVu2v0.h:282</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aaf6411c2cd9f097c61c617666a705c98"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aaf6411c2cd9f097c61c617666a705c98">DGtal::ATVu2v0::init</a></div><div class="ttdeci">void init(Clone< KSpace > K)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_abac2035debfd68262df236d8e195545b"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#abac2035debfd68262df236d8e195545b">DGtal::ATVu2v0::size0</a></div><div class="ttdeci">unsigned int size0() const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00299">ATVu2v0.h:299</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ac76a2e6b85c48e85e43ee37c480c79c7"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ac76a2e6b85c48e85e43ee37c480c79c7">DGtal::ATVu2v0::l_over_e_Id0</a></div><div class="ttdeci">PrimalIdentity0 l_over_e_Id0</div><div class="ttdoc">lambda/epsilon Id0</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00396">ATVu2v0.h:396</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_acae6b9c24e1591e3d36616c271aa6920"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#acae6b9c24e1591e3d36616c271aa6920">DGtal::ATVu2v0::lambda</a></div><div class="ttdeci">double lambda</div><div class="ttdoc">Amount of discontinuity parameter lambda (in 1/length unit).</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00376">ATVu2v0.h:376</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ad097f5012eec74c87684a87b18600bff"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ad097f5012eec74c87684a87b18600bff">DGtal::ATVu2v0::operator=</a></div><div class="ttdeci">ATVu2v0 & operator=(const ATVu2v0 &other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ad89c63a4f669d0a6ab0bf45e606fae4b"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ad89c63a4f669d0a6ab0bf45e606fae4b">DGtal::ATVu2v0::delta_v_l1</a></div><div class="ttdeci">Scalar delta_v_l1</div><div class="ttdoc">The L1-norm of variation of v.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00345">ATVu2v0.h:345</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_adc7d656ec841b9bf83fe4b293696544f"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#adc7d656ec841b9bf83fe4b293696544f">DGtal::ATVu2v0::left_V0</a></div><div class="ttdeci">PrimalIdentity0 left_V0</div><div class="ttdoc">(lambda / (4*epsilon)) * Id0 + lambda epsilon D0^t D0</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00390">ATVu2v0.h:390</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_adfe756230f30c134dd2e8cbfddc8368e"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#adfe756230f30c134dd2e8cbfddc8368e">DGtal::ATVu2v0::getV</a></div><div class="ttdeci">const PrimalForm0 & getV() const</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00296">ATVu2v0.h:296</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ae0e0a292d3a39847646e864a1ee4cf5d"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ae0e0a292d3a39847646e864a1ee4cf5d">DGtal::ATVu2v0::addInput</a></div><div class="ttdeci">void addInput(const Image &image, const Function &f, bool perfect_data=false)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ae42fb8ecb2d0afbb4147c2d8ebe3af7f"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ae42fb8ecb2d0afbb4147c2d8ebe3af7f">DGtal::ATVu2v0::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ae6434ba2436515f332314a604684e6f3"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ae6434ba2436515f332314a604684e6f3">DGtal::ATVu2v0::delta_v_l2</a></div><div class="ttdeci">Scalar delta_v_l2</div><div class="ttdoc">The L2-norm of variation of v.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00347">ATVu2v0.h:347</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_ae947d785908921d255371725869cc7d3"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#ae947d785908921d255371725869cc7d3">DGtal::ATVu2v0::computeVariation</a></div><div class="ttdeci">Scalar computeVariation()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aebef8cdb55427346f939ec1e7bd60ad5"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aebef8cdb55427346f939ec1e7bd60ad5">DGtal::ATVu2v0::solver_u</a></div><div class="ttdeci">SolverU solver_u</div><div class="ttdoc">The solver for every 2-form u[i].</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00381">ATVu2v0.h:381</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aec364c31db46228a6754496954eb74fb"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aec364c31db46228a6754496954eb74fb">DGtal::ATVu2v0::BOOST_STATIC_ASSERT</a></div><div class="ttdeci">BOOST_STATIC_ASSERT((KSpace::dimension==2))</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_aefc479cc694fbd728b55650ea0d30766"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#aefc479cc694fbd728b55650ea0d30766">DGtal::ATVu2v0::isValid</a></div><div class="ttdeci">bool isValid() const</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_af52cd55d8d2f3c14bf8b10e8a7bf4e21"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#af52cd55d8d2f3c14bf8b10e8a7bf4e21">DGtal::ATVu2v0::solveV</a></div><div class="ttdeci">bool solveV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_af54d6b6ca3728a4ed863a50976196270"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#af54d6b6ca3728a4ed863a50976196270">DGtal::ATVu2v0::setUFromInput</a></div><div class="ttdeci">void setUFromInput()</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_afb366acf393e4df6ada9b8c0a0a930af"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#afb366acf393e4df6ada9b8c0a0a930af">DGtal::ATVu2v0::setEpsilon</a></div><div class="ttdeci">void setEpsilon(Scalar _epsilon)</div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_affdb6f3dbda3afc80d1713693c54a297"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#affdb6f3dbda3afc80d1713693c54a297">DGtal::ATVu2v0::i2</a></div><div class="ttdeci">std::vector< PrimalForm2 > i2</div><div class="ttdoc">The ideal input 2-forms (for snr computation).</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00366">ATVu2v0.h:366</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATVu2v0_html_affe27473fddd268dfa4bfb64490cb14f"><div class="ttname"><a href="structDGtal_1_1ATVu2v0.html#affe27473fddd268dfa4bfb64490cb14f">DGtal::ATVu2v0::metric_average</a></div><div class="ttdeci">bool metric_average</div><div class="ttdoc">When 'true', use metric average, otherwise use identity.</div><div class="ttdef"><b>Definition:</b> <a href="ATVu2v0_8h_source.html#l00399">ATVu2v0.h:399</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html">DGtal::DECImage2D</a></div><div class="ttdoc">Aim: This class simplifies the development of 2D image processing tools using discrete exterior calcu...</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00741">DECImageHelpers.h:741</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a0a20c3b31d9ab8595ac95c98abf668c0"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a0a20c3b31d9ab8595ac95c98abf668c0">DGtal::DECImage2D::DualAntiderivative1</a></div><div class="ttdeci">Calculus::DualAntiderivative1 DualAntiderivative1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00768">DECImageHelpers.h:768</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a14917c879e65f590b00290639a07952e"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a14917c879e65f590b00290639a07952e">DGtal::DECImage2D::verbose</a></div><div class="ttdeci">int verbose</div><div class="ttdoc">The verbose level (0: silent).</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00882">DECImageHelpers.h:882</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a1a3c046736c8f6b09ce47f7316ab9dd9"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a1a3c046736c8f6b09ce47f7316ab9dd9">DGtal::DECImage2D::dual_D0</a></div><div class="ttdeci">DualDerivative0 dual_D0</div><div class="ttdoc">dual derivative dual 0-form -> dual 1-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00894">DECImageHelpers.h:894</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a1ddadeb3ee88fc52a6415a1980e424d9"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a1ddadeb3ee88fc52a6415a1980e424d9">DGtal::DECImage2D::DualDerivative0</a></div><div class="ttdeci">Calculus::DualDerivative0 DualDerivative0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00764">DECImageHelpers.h:764</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a1fbb33cba0a66c334f26bcb3cab18cde"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a1fbb33cba0a66c334f26bcb3cab18cde">DGtal::DECImage2D::PrimalHodge2</a></div><div class="ttdeci">Calculus::PrimalHodge2 PrimalHodge2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00772">DECImageHelpers.h:772</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a28ddbaa8ffe691a3fdfbee9f20c686c4"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a28ddbaa8ffe691a3fdfbee9f20c686c4">DGtal::DECImage2D::primal_h2</a></div><div class="ttdeci">PrimalHodge2 primal_h2</div><div class="ttdoc">hodge star: 2-form -> dual 2-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00902">DECImageHelpers.h:902</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a2c8a3a42a1c57467a93a54b6966f2bda"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a2c8a3a42a1c57467a93a54b6966f2bda">DGtal::DECImage2D::D0</a></div><div class="ttdeci">PrimalDerivative0 D0</div><div class="ttdoc">primal derivative: 0-form -> 1-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00890">DECImageHelpers.h:890</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a3041eccbb9dfa079e07e2c78b3dad84f"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a3041eccbb9dfa079e07e2c78b3dad84f">DGtal::DECImage2D::calculus</a></div><div class="ttdeci">Calculus calculus</div><div class="ttdoc">The discrete exterior calculus instance.</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00884">DECImageHelpers.h:884</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a3272ff7259f7e4079cd2c6b10b0c4aaa"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a3272ff7259f7e4079cd2c6b10b0c4aaa">DGtal::DECImage2D::dual_h0</a></div><div class="ttdeci">DualHodge0 dual_h0</div><div class="ttdoc">hodge star: dual 0-form -> 0-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00904">DECImageHelpers.h:904</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a339ca8947b3769797d9c7ec2db47efef"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a339ca8947b3769797d9c7ec2db47efef">DGtal::DECImage2D::PrimalForm1</a></div><div class="ttdeci">Calculus::PrimalForm1 PrimalForm1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00757">DECImageHelpers.h:757</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a3731ef2fc31b6e75cb27ac5051e5fec0"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a3731ef2fc31b6e75cb27ac5051e5fec0">DGtal::DECImage2D::DualHodge2</a></div><div class="ttdeci">Calculus::DualHodge2 DualHodge2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00775">DECImageHelpers.h:775</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a37be448ecf4832f5c53bbd6671aaa1a0"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a37be448ecf4832f5c53bbd6671aaa1a0">DGtal::DECImage2D::PrimalAntiderivative1</a></div><div class="ttdeci">Calculus::PrimalAntiderivative1 PrimalAntiderivative1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00766">DECImageHelpers.h:766</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a39696351afed6cc48e959205c6946d44"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a39696351afed6cc48e959205c6946d44">DGtal::DECImage2D::dual_h1</a></div><div class="ttdeci">DualHodge1 dual_h1</div><div class="ttdoc">hodge star: dual 1-form -> 1-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00906">DECImageHelpers.h:906</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a45b56cccdf41b5c9e97cc0ebf771c36c"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a45b56cccdf41b5c9e97cc0ebf771c36c">DGtal::DECImage2D::Space</a></div><div class="ttdeci">KSpace::Space Space</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00745">DECImageHelpers.h:745</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a4c01079302f77f168f86ffdf3a16cc38"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a4c01079302f77f168f86ffdf3a16cc38">DGtal::DECImage2D::Domain</a></div><div class="ttdeci">HyperRectDomain< Space > Domain</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00752">DECImageHelpers.h:752</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a5e406714100e6b338e3ea76dbccfb930"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a5e406714100e6b338e3ea76dbccfb930">DGtal::DECImage2D::PrimalDerivative0</a></div><div class="ttdeci">Calculus::PrimalDerivative0 PrimalDerivative0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00762">DECImageHelpers.h:762</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a5fb00e81feaf4d031b02b0519e8b6425"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a5fb00e81feaf4d031b02b0519e8b6425">DGtal::DECImage2D::PrimalForm0</a></div><div class="ttdeci">Calculus::PrimalForm0 PrimalForm0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00756">DECImageHelpers.h:756</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a60ba1c439c646b28d2a1bdd948631dd7"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a60ba1c439c646b28d2a1bdd948631dd7">DGtal::DECImage2D::Scalar</a></div><div class="ttdeci">RealVector::Component Scalar</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00748">DECImageHelpers.h:748</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a73348074a5d57c5caec4e42eff28c8c4"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a73348074a5d57c5caec4e42eff28c8c4">DGtal::DECImage2D::PrimalForm2</a></div><div class="ttdeci">Calculus::PrimalForm2 PrimalForm2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00758">DECImageHelpers.h:758</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a74e0cfdd65fdc032048dc348054d11d2"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a74e0cfdd65fdc032048dc348054d11d2">DGtal::DECImage2D::PrimalDerivative1</a></div><div class="ttdeci">Calculus::PrimalDerivative1 PrimalDerivative1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00763">DECImageHelpers.h:763</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a798a6d12a28ff903d8ed64ae1f18605a"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a798a6d12a28ff903d8ed64ae1f18605a">DGtal::DECImage2D::dual_h2</a></div><div class="ttdeci">DualHodge2 dual_h2</div><div class="ttdoc">hodge star: dual 2-form -> 2-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00908">DECImageHelpers.h:908</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a80c0d7c61acd87171779053c4c63d849"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a80c0d7c61acd87171779053c4c63d849">DGtal::DECImage2D::primal_h0</a></div><div class="ttdeci">PrimalHodge0 primal_h0</div><div class="ttdoc">hodge star: 0-form -> dual 0-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00898">DECImageHelpers.h:898</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a8bbd8b1368136d35190474f1b61172cd"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a8bbd8b1368136d35190474f1b61172cd">DGtal::DECImage2D::PrimalIdentity0</a></div><div class="ttdeci">Calculus::PrimalIdentity0 PrimalIdentity0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00759">DECImageHelpers.h:759</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a8dcc13cb4c2c2e98d28223676c296f09"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a8dcc13cb4c2c2e98d28223676c296f09">DGtal::DECImage2D::primal_h1</a></div><div class="ttdeci">PrimalHodge1 primal_h1</div><div class="ttdoc">hodge star: 1-form -> dual 1-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00900">DECImageHelpers.h:900</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a8e4496742d93e9eb891a91d2ffe07a1d"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a8e4496742d93e9eb891a91d2ffe07a1d">DGtal::DECImage2D::Point</a></div><div class="ttdeci">Space::Point Point</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00746">DECImageHelpers.h:746</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_a96af5dc2f62a41e3632b382109991979"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#a96af5dc2f62a41e3632b382109991979">DGtal::DECImage2D::Index</a></div><div class="ttdeci">Calculus::Index Index</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00755">DECImageHelpers.h:755</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_aa02db6bd4b95743f22f461076eee8acb"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#aa02db6bd4b95743f22f461076eee8acb">DGtal::DECImage2D::RealVector</a></div><div class="ttdeci">Space::RealVector RealVector</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00747">DECImageHelpers.h:747</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_aa82450aa764c88ad6646d71f89b2cc5c"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#aa82450aa764c88ad6646d71f89b2cc5c">DGtal::DECImage2D::DualAntiderivative2</a></div><div class="ttdeci">Calculus::DualAntiderivative2 DualAntiderivative2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00769">DECImageHelpers.h:769</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_ab902b7f4cf4e2837311ffcb7cbcdba00"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#ab902b7f4cf4e2837311ffcb7cbcdba00">DGtal::DECImage2D::DualHodge1</a></div><div class="ttdeci">Calculus::DualHodge1 DualHodge1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00774">DECImageHelpers.h:774</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_abb23cd33e75630a61d6d8d190ad68830"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#abb23cd33e75630a61d6d8d190ad68830">DGtal::DECImage2D::Calculus</a></div><div class="ttdeci">DiscreteExteriorCalculus< 2, 2, LinearAlgebra > Calculus</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00753">DECImageHelpers.h:753</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_ad0611f63fb1dcd2e003e742d70e6224e"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#ad0611f63fb1dcd2e003e742d70e6224e">DGtal::DECImage2D::PrimalHodge1</a></div><div class="ttdeci">Calculus::PrimalHodge1 PrimalHodge1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00771">DECImageHelpers.h:771</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_ad0f1e20d272f0e9110411d412911f718"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#ad0f1e20d272f0e9110411d412911f718">DGtal::DECImage2D::PrimalIdentity2</a></div><div class="ttdeci">Calculus::PrimalIdentity2 PrimalIdentity2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00761">DECImageHelpers.h:761</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_adb3d067f06802894ec13aceccc289b05"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#adb3d067f06802894ec13aceccc289b05">DGtal::DECImage2D::PrimalIdentity1</a></div><div class="ttdeci">Calculus::PrimalIdentity1 PrimalIdentity1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00760">DECImageHelpers.h:760</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_adea02f9c858e9e29b6e6871597d3bdfa"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#adea02f9c858e9e29b6e6871597d3bdfa">DGtal::DECImage2D::PrimalHodge0</a></div><div class="ttdeci">Calculus::PrimalHodge0 PrimalHodge0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00770">DECImageHelpers.h:770</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_aeae1f0fef376e88c36978130b769b2ec"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#aeae1f0fef376e88c36978130b769b2ec">DGtal::DECImage2D::DualHodge0</a></div><div class="ttdeci">Calculus::DualHodge0 DualHodge0</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00773">DECImageHelpers.h:773</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_af168fff1e61dd5d24b4ab2d9381a7e62"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#af168fff1e61dd5d24b4ab2d9381a7e62">DGtal::DECImage2D::PrimalAntiderivative2</a></div><div class="ttdeci">Calculus::PrimalAntiderivative2 PrimalAntiderivative2</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00767">DECImageHelpers.h:767</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_af230cf422b6145defbda7f29d2edd0e8"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#af230cf422b6145defbda7f29d2edd0e8">DGtal::DECImage2D::SCell</a></div><div class="ttdeci">KSpace::SCell SCell</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00749">DECImageHelpers.h:749</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_af82a69b501567cec4552cb2274732845"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#af82a69b501567cec4552cb2274732845">DGtal::DECImage2D::D1</a></div><div class="ttdeci">PrimalDerivative1 D1</div><div class="ttdoc">primal derivative: 1-form -> 2-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00892">DECImageHelpers.h:892</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_af8798234733202f2d1372dcca7b8b007"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#af8798234733202f2d1372dcca7b8b007">DGtal::DECImage2D::DualDerivative1</a></div><div class="ttdeci">Calculus::DualDerivative1 DualDerivative1</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00765">DECImageHelpers.h:765</a></div></div>
<div class="ttc" id="astructDGtal_1_1DECImage2D_html_affe6aa43745d1e77856ceb68ab4f339e"><div class="ttname"><a href="structDGtal_1_1DECImage2D.html#affe6aa43745d1e77856ceb68ab4f339e">DGtal::DECImage2D::dual_D1</a></div><div class="ttdeci">DualDerivative1 dual_D1</div><div class="ttdoc">dual derivative dual 1-form -> dual 2-form</div><div class="ttdef"><b>Definition:</b> <a href="DECImageHelpers_8h_source.html#l00896">DECImageHelpers.h:896</a></div></div>
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