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<li class="navelem"><a class="el" href="dir_6cf9063572cd6d4016e1e45cf4f66eb2.html">imageProcessing</a></li> </ul>
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<div class="title">ATu2v0.h</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="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(ATu2v0_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 ATu2v0.h</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#else </span><span class="comment">// defined(ATu2v0_RECURSES)</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span>#define ATu2v0_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 ATu2v0_h</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#define ATu2v0_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 ATu2v0</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"></span> <span class="keyword">template</span> < <span class="keyword">typename</span> TKSpace,</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">typename</span> TLinearAlgebra = EigenLinearAlgebraBackend ></div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html"> 74</a></span>  <span class="keyword">struct </span><a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> : <span class="keyword">public</span> <a class="code" href="structDGtal_1_1DECImage2D.html">DECImage2D</a><TKSpace, TLinearAlgebra></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ac320de5e60094a1556a41c00292f7069"> 76</a></span>  <span class="keyword">typedef</span> TKSpace <a class="code" href="structDGtal_1_1ATu2v0.html#ac320de5e60094a1556a41c00292f7069">KSpace</a>;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a551c6f2ca158f388e20380c6327d79b7"> 77</a></span>  <span class="keyword">typedef</span> TLinearAlgebra <a class="code" href="structDGtal_1_1ATu2v0.html#a551c6f2ca158f388e20380c6327d79b7">LinearAlgebra</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#af863f2fbc86d3f6c7de6ec8c0fb670c8"> 78</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_1ATu2v0.html#af863f2fbc86d3f6c7de6ec8c0fb670c8">Base</a>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</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="l00080"></a><span class="lineno"> 80</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="l00081"></a><span class="lineno"> 81</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="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#a60ba1c439c646b28d2a1bdd948631dd7">Base::Scalar</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#af230cf422b6145defbda7f29d2edd0e8">Base::SCell</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#a4c01079302f77f168f86ffdf3a16cc38">Base::Domain</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#abb23cd33e75630a61d6d8d190ad68830">Base::Calculus</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#a96af5dc2f62a41e3632b382109991979">Base::Index</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#a5fb00e81feaf4d031b02b0519e8b6425">Base::PrimalForm0</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#a339ca8947b3769797d9c7ec2db47efef">Base::PrimalForm1</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#a73348074a5d57c5caec4e42eff28c8c4">Base::PrimalForm2</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#a8bbd8b1368136d35190474f1b61172cd">Base::PrimalIdentity0</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#adb3d067f06802894ec13aceccc289b05">Base::PrimalIdentity1</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#ad0f1e20d272f0e9110411d412911f718">Base::PrimalIdentity2</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#a5e406714100e6b338e3ea76dbccfb930">Base::PrimalDerivative0</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#a74e0cfdd65fdc032048dc348054d11d2">Base::PrimalDerivative1</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#a1ddadeb3ee88fc52a6415a1980e424d9">Base::DualDerivative0</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#af8798234733202f2d1372dcca7b8b007">Base::DualDerivative1</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#a37be448ecf4832f5c53bbd6671aaa1a0">Base::PrimalAntiderivative1</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#af168fff1e61dd5d24b4ab2d9381a7e62">Base::PrimalAntiderivative2</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#a0a20c3b31d9ab8595ac95c98abf668c0">Base::DualAntiderivative1</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#aa82450aa764c88ad6646d71f89b2cc5c">Base::DualAntiderivative2</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#adea02f9c858e9e29b6e6871597d3bdfa">Base::PrimalHodge0</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#ad0611f63fb1dcd2e003e742d70e6224e">Base::PrimalHodge1</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#a1fbb33cba0a66c334f26bcb3cab18cde">Base::PrimalHodge2</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#aeae1f0fef376e88c36978130b769b2ec">Base::DualHodge0</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#ab902b7f4cf4e2837311ffcb7cbcdba00">Base::DualHodge1</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#a3731ef2fc31b6e75cb27ac5051e5fec0">Base::DualHodge2</a>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a3041eccbb9dfa079e07e2c78b3dad84f">Base::calculus</a>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a14917c879e65f590b00290639a07952e">Base::verbose</a>;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a2c8a3a42a1c57467a93a54b6966f2bda">Base::D0</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#af82a69b501567cec4552cb2274732845">Base::D1</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#a1a3c046736c8f6b09ce47f7316ab9dd9">Base::dual_D0</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#affe6aa43745d1e77856ceb68ab4f339e">Base::dual_D1</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#a80c0d7c61acd87171779053c4c63d849">Base::primal_h0</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#a8dcc13cb4c2c2e98d28223676c296f09">Base::primal_h1</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#a28ddbaa8ffe691a3fdfbee9f20c686c4">Base::primal_h2</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#a3272ff7259f7e4079cd2c6b10b0c4aaa">Base::dual_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#a39696351afed6cc48e959205c6946d44">Base::dual_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#a798a6d12a28ff903d8ed64ae1f18605a">Base::dual_h2</a>;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a73ae02cc2238692aae78efc12c97ea38"> 120</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> LinearAlgebra::SolverSimplicialLLT <a class="code" href="structDGtal_1_1ATu2v0.html#a73ae02cc2238692aae78efc12c97ea38">LinearAlgebraSolver</a>;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</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="l00122"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a86711cc5d818b0512519f822f2581f22"> 122</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a86711cc5d818b0512519f822f2581f22">SolverU</a>;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</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="l00124"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#aa6fda398e623e41f1d55d6ade81c468f"> 124</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#aa6fda398e623e41f1d55d6ade81c468f">SolverV</a>;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a4cbb8f498886e1ee550c42f6ee4d04b5"> 126</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a4cbb8f498886e1ee550c42f6ee4d04b5">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="l00127"></a><span class="lineno"> 127</span>  </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">// ----------------------- Standard services ------------------------------</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  </div>
<div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a618b247662ece483cbc83609bd9fc04b"> 134</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a618b247662ece483cbc83609bd9fc04b">~ATu2v0</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
<div class="line"><a name="l00140"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a86e5ad1b2e69e02375651a6500a282cf"> 140</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a86e5ad1b2e69e02375651a6500a282cf">ATu2v0</a>( <span class="keywordtype">int</span> _verbose = 1 );</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
<div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a45f460beaf2ecb1b3946a652c021c986"> 145</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a45f460beaf2ecb1b3946a652c021c986">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="l00146"></a><span class="lineno"> 146</span>  </div>
<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a252bf08ed21ab124c860034da1358fe1"> 151</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a252bf08ed21ab124c860034da1358fe1">ATu2v0</a> ( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> & other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a615cc4bcac9a8366fe4257928b22eb57"> 157</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a615cc4bcac9a8366fe4257928b22eb57">ATu2v0</a> ( <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> && other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#adbff2db05b44295b23dc0d9335800857"> 164</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> & <a class="code" href="structDGtal_1_1ATu2v0.html#adbff2db05b44295b23dc0d9335800857">operator= </a>( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> & other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a45535107c1a287160e40b4af3fd2516a"> 171</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> & <a class="code" href="structDGtal_1_1ATu2v0.html#adbff2db05b44295b23dc0d9335800857">operator= </a>( <a class="code" href="structDGtal_1_1ATu2v0.html">ATu2v0</a> && other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> Image, <span class="keyword">typename</span> Function></div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a2b9047e1591dceb09b01a683e2643b96"> 202</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a2b9047e1591dceb09b01a683e2643b96">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="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">const</span> Function& f,</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordtype">bool</span> perfect_data = <span class="keyword">false</span> );</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ace157ee360b57a191ebf2515c7a9b912"> 207</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ace157ee360b57a191ebf2515c7a9b912">setMetricAverage</a>( <span class="keywordtype">bool</span> average );</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
<div class="line"><a name="l00212"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a1ca78e316a00477627dd1a138117a2bc"> 212</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a1ca78e316a00477627dd1a138117a2bc">setUFromInput</a>();</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a75a27ba0ce9a16a6a4674426d65ec3d6"> 219</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a75a27ba0ce9a16a6a4674426d65ec3d6">setUFromInputAndMask</a>();</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
<div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ad578c897851a7cd10fd699b7801fa080"> 229</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ad578c897851a7cd10fd699b7801fa080">setAlpha</a>( <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _alpha );</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  </div>
<div class="line"><a name="l00246"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a8d11cfac7d75ce7693d35cee69fffbb6"> 246</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a8d11cfac7d75ce7693d35cee69fffbb6">setAlpha</a>( <a class="code" href="structDGtal_1_1ATu2v0.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="l00247"></a><span class="lineno"> 247</span>  </div>
<div class="line"><a name="l00258"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ae7b9cbf941f0f932f7a08799d2e27b27"> 258</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ae7b9cbf941f0f932f7a08799d2e27b27">setLambda</a>( <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _lambda );</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
<div class="line"><a name="l00270"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a2b5c434129a8284f6a1a1a73e70b9258"> 270</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a2b5c434129a8284f6a1a1a73e70b9258">setEpsilon</a>( <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _epsilon );</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  </div>
<div class="line"><a name="l00273"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a18651496fa9a46d473cc82c5cdf1110e"> 273</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a18651496fa9a46d473cc82c5cdf1110e">computeSNR</a>() <span class="keyword">const</span>;</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_1ATu2v0.html#a5230f5348c7613c35b7149698057d64f"> 276</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a5230f5348c7613c35b7149698057d64f">getAlpha</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#aa9130c31c3b85f21bd366a386f8b94f1">alpha</a>; }</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_1ATu2v0.html#a426b3fd83e2ee17f28c81cae4a551104"> 279</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a426b3fd83e2ee17f28c81cae4a551104">getLambda</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a365d779e3af7dce4fd81261b48ecc7ce">lambda</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_1ATu2v0.html#a7fc40b35ecdcc72748e3899865d142e1"> 282</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a7fc40b35ecdcc72748e3899865d142e1">getEpsilon</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a183f741ae0e522baa0bf7c2685347b7c">epsilon</a>; }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  </div>
<div class="line"><a name="l00286"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ad3b8a06314b27c2089239c22d22a1487"> 286</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_1ATu2v0.html#ad3b8a06314b27c2089239c22d22a1487">getG</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a9b7623bc66ece3b31ddcc380c7380455">g2</a>.at( i ); }</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div>
<div class="line"><a name="l00290"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a9b8f6bf5f3a5b1752268ce8fcac1a011"> 290</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_1ATu2v0.html#a9b8f6bf5f3a5b1752268ce8fcac1a011">getU</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a6367fdaee070f636c9e51c658a9f13f6">u2</a>.at( i ); }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  </div>
<div class="line"><a name="l00293"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#aff0dcc6e3818973285d79bc4fa702dfd"> 293</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_1ATu2v0.html#aff0dcc6e3818973285d79bc4fa702dfd">getV</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a68d407846a63505ec50926d360885996">v0</a>; }</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_1ATu2v0.html#ad5d0d1b929e51d53a773c837c2b118fb"> 296</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ad5d0d1b929e51d53a773c837c2b118fb">size0</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a68d407846a63505ec50926d360885996">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="l00297"></a><span class="lineno"> 297</span>  </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="comment">// /// @return the size of a 1-form vector</span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="comment">// unsigned int size1() const { return v1.myContainer.rows(); }</span></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">// ----------------------- Solver --------------------------------------</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  </div>
<div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ac857c812a1476901dc23f3a52ba1281a"> 306</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ac857c812a1476901dc23f3a52ba1281a">solveU</a>();</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  </div>
<div class="line"><a name="l00310"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a8f1ceb9fc3a86254e6b774b35233102f"> 310</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a8f1ceb9fc3a86254e6b774b35233102f">solveV</a>();</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
<div class="line"><a name="l00316"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a2487b8f79446052eee26a3b8bd814cf3"> 316</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a2487b8f79446052eee26a3b8bd814cf3">computeVariation</a>();</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  </div>
<div class="line"><a name="l00320"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a0d5ee3a86c8b49817da154028263e429"> 320</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a0d5ee3a86c8b49817da154028263e429">checkV</a>();</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="comment">// ----------------------- Interface --------------------------------------</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  </div>
<div class="line"><a name="l00329"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a3a4fbbcf7bbf7aa735fcfe1ab11b70fd"> 329</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a3a4fbbcf7bbf7aa735fcfe1ab11b70fd">selfDisplay</a> ( std::ostream & out ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  </div>
<div class="line"><a name="l00335"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ae12db4be3f0d5ccf6b2f514816e056ad"> 335</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu2v0.html#ae12db4be3f0d5ccf6b2f514816e056ad">isValid</a>() <span class="keyword">const</span>;</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>  </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="comment">// ------------------------- Public Datas ------------------------------</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  </div>
<div class="line"><a name="l00342"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a856014983d1e1ba3aadd1da55734a597"> 342</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a856014983d1e1ba3aadd1da55734a597">delta_v_l1</a>;</div>
<div class="line"><a name="l00344"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a35209d52f7d1d349eb6532ca9c4a8908"> 344</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a35209d52f7d1d349eb6532ca9c4a8908">delta_v_l2</a>;</div>
<div class="line"><a name="l00346"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a436435e150c5490e92d06813737d661f"> 346</a></span>  <a class="code" href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu2v0.html#a436435e150c5490e92d06813737d661f">delta_v_loo</a>;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  </div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#ab00c3b9f32a9ed70bdb833ecda021c7e"> 349</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_1ATu2v0.html#ab00c3b9f32a9ed70bdb833ecda021c7e">M01</a>;</div>
<div class="line"><a name="l00351"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a8f7ee247ac70dcda51b597b35a0ccd73"> 351</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_1ATu2v0.html#a8f7ee247ac70dcda51b597b35a0ccd73">M12</a>;</div>
<div class="line"><a name="l00353"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a3e927be4d582b6ff09df0c9333ae06c6"> 353</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_1ATu2v0.html#a3e927be4d582b6ff09df0c9333ae06c6">primal_AD2</a>;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="comment">// ------------------------- Protected Datas ------------------------------</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  </div>
<div class="line"><a name="l00359"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a9b7623bc66ece3b31ddcc380c7380455"> 359</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATu2v0.html#a9b7623bc66ece3b31ddcc380c7380455">g2</a>;</div>
<div class="line"><a name="l00361"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a034048a1b894d718d39779b0d27f853f"> 361</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATu2v0.html#a034048a1b894d718d39779b0d27f853f">i2</a>;</div>
<div class="line"><a name="l00363"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a6367fdaee070f636c9e51c658a9f13f6"> 363</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATu2v0.html#a6367fdaee070f636c9e51c658a9f13f6">u2</a>;</div>
<div class="line"><a name="l00365"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a68d407846a63505ec50926d360885996"> 365</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_1ATu2v0.html#a68d407846a63505ec50926d360885996">v0</a>;</div>
<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a6fe8c72cb4f3aff076148272b1b1d086"> 367</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_1ATu2v0.html#a6fe8c72cb4f3aff076148272b1b1d086">former_v0</a>;</div>
<div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#aa9130c31c3b85f21bd366a386f8b94f1"> 369</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu2v0.html#aa9130c31c3b85f21bd366a386f8b94f1">alpha</a>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a365d779e3af7dce4fd81261b48ecc7ce"> 371</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a365d779e3af7dce4fd81261b48ecc7ce">lambda</a>;</div>
<div class="line"><a name="l00373"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a183f741ae0e522baa0bf7c2685347b7c"> 373</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a183f741ae0e522baa0bf7c2685347b7c">epsilon</a>;</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
<div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a67274c32b41693c8ad338188d8dc732c"> 376</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_1ATu2v0.html#a67274c32b41693c8ad338188d8dc732c">solver_u</a>;</div>
<div class="line"><a name="l00378"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a0edbabfdbe929ae415261e505a242188"> 378</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_1ATu2v0.html#a0edbabfdbe929ae415261e505a242188">solver_v</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_1ATu2v0.html#ae0e82804b5e1a87aabe9b1e5e13ac24d"> 381</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_1ATu2v0.html#ae0e82804b5e1a87aabe9b1e5e13ac24d">alpha_Id2</a>;</div>
<div class="line"><a name="l00383"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#aca983a126a837ebacac2169ab80d1396"> 383</a></span>  std::vector< PrimalForm2 > <a class="code" href="structDGtal_1_1ATu2v0.html#aca983a126a837ebacac2169ab80d1396">alpha_g2</a>;</div>
<div class="line"><a name="l00385"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a7c25c0b99f4fa0a42769bc7b1c23fa7a"> 385</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_1ATu2v0.html#a7c25c0b99f4fa0a42769bc7b1c23fa7a">left_V0</a>;</div>
<div class="line"><a name="l00387"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a7f013a03fd166425427e38aa636c410e"> 387</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_1ATu2v0.html#a7f013a03fd166425427e38aa636c410e">l_1_over_4</a>;</div>
<div class="line"><a name="l00389"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a088061149fbc1da4a31ff3ac0bb458a8"> 389</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_1ATu2v0.html#a088061149fbc1da4a31ff3ac0bb458a8">l_1_over_4e</a>;</div>
<div class="line"><a name="l00391"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a39a8196c76de8c57ec1401705c3a64fa"> 391</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_1ATu2v0.html#a39a8196c76de8c57ec1401705c3a64fa">l_1_over_4e_Id0</a>; </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  </div>
<div class="line"><a name="l00394"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu2v0.html#a22d684a614b2a8f54cade74d91441333"> 394</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu2v0.html#a22d684a614b2a8f54cade74d91441333">metric_average</a>;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="comment">// ------------------------- Private Datas --------------------------------</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="comment">// ------------------------- Hidden services ------------------------------</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="comment">// ------------------------- Internals ------------------------------------</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  }; <span class="comment">// end of class ATu2v0</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>  </div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> TKSpace, <span class="keyword">typename</span> TLinearAlgebra></div>
<div class="line"><a name="l00415"></a><span class="lineno"><a class="line" href="namespaceDGtal.html#a5300b1e749539de1f4f27d8781c637f3"> 415</a></span>  std::ostream&</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</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_1ATu2v0.html">ATu2v0<TKSpace, TLinearAlgebra></a> & <span class="keywordtype">object</span> );</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> } <span class="comment">// namespace DGtal</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  </div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment">// Includes inline functions.</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="comment">//#include "DGtal/dec/ATu2v0.ih"</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="preprocessor">#include "ATu2v0.ih"</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="comment">// //</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="comment"></span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="preprocessor">#endif </span><span class="comment">// !defined ATu2v0_h</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="preprocessor">#undef ATu2v0_RECURSES</span></div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="preprocessor">#endif </span><span class="comment">// else defined(ATu2v0_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_1ATu2v0_html"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html">DGtal::ATu2v0</a></div><div class="ttdoc">Aim: This class solves Ambrosio-Tortorelli functional in a plane for u a (vector of) 2-form(s) and v ...</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00074">ATu2v0.h:75</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a034048a1b894d718d39779b0d27f853f"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a034048a1b894d718d39779b0d27f853f">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00361">ATu2v0.h:361</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a088061149fbc1da4a31ff3ac0bb458a8"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a088061149fbc1da4a31ff3ac0bb458a8">DGtal::ATu2v0::l_1_over_4e</a></div><div class="ttdeci">PrimalForm0 l_1_over_4e</div><div class="ttdoc">lambda 1/(4*epsilon) 1</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00389">ATu2v0.h:389</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a0d5ee3a86c8b49817da154028263e429"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a0d5ee3a86c8b49817da154028263e429">DGtal::ATu2v0::checkV</a></div><div class="ttdeci">Scalar checkV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a0edbabfdbe929ae415261e505a242188"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a0edbabfdbe929ae415261e505a242188">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00378">ATu2v0.h:378</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a183f741ae0e522baa0bf7c2685347b7c"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a183f741ae0e522baa0bf7c2685347b7c">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00373">ATu2v0.h:373</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a18651496fa9a46d473cc82c5cdf1110e"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a18651496fa9a46d473cc82c5cdf1110e">DGtal::ATu2v0::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_1ATu2v0_html_a1ca78e316a00477627dd1a138117a2bc"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a1ca78e316a00477627dd1a138117a2bc">DGtal::ATu2v0::setUFromInput</a></div><div class="ttdeci">void setUFromInput()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a22d684a614b2a8f54cade74d91441333"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a22d684a614b2a8f54cade74d91441333">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00394">ATu2v0.h:394</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a2487b8f79446052eee26a3b8bd814cf3"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a2487b8f79446052eee26a3b8bd814cf3">DGtal::ATu2v0::computeVariation</a></div><div class="ttdeci">Scalar computeVariation()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a252bf08ed21ab124c860034da1358fe1"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a252bf08ed21ab124c860034da1358fe1">DGtal::ATu2v0::ATu2v0</a></div><div class="ttdeci">ATu2v0(const ATu2v0 &other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a2b5c434129a8284f6a1a1a73e70b9258"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a2b5c434129a8284f6a1a1a73e70b9258">DGtal::ATu2v0::setEpsilon</a></div><div class="ttdeci">void setEpsilon(Scalar _epsilon)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a2b9047e1591dceb09b01a683e2643b96"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a2b9047e1591dceb09b01a683e2643b96">DGtal::ATu2v0::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_1ATu2v0_html_a35209d52f7d1d349eb6532ca9c4a8908"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a35209d52f7d1d349eb6532ca9c4a8908">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00344">ATu2v0.h:344</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a365d779e3af7dce4fd81261b48ecc7ce"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a365d779e3af7dce4fd81261b48ecc7ce">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00371">ATu2v0.h:371</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a39a8196c76de8c57ec1401705c3a64fa"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a39a8196c76de8c57ec1401705c3a64fa">DGtal::ATu2v0::l_1_over_4e_Id0</a></div><div class="ttdeci">PrimalIdentity0 l_1_over_4e_Id0</div><div class="ttdoc">lambda 1/(4_epsilon) Id0</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00391">ATu2v0.h:391</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a3a4fbbcf7bbf7aa735fcfe1ab11b70fd"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a3a4fbbcf7bbf7aa735fcfe1ab11b70fd">DGtal::ATu2v0::selfDisplay</a></div><div class="ttdeci">void selfDisplay(std::ostream &out) const</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a3e927be4d582b6ff09df0c9333ae06c6"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a3e927be4d582b6ff09df0c9333ae06c6">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00353">ATu2v0.h:353</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a426b3fd83e2ee17f28c81cae4a551104"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a426b3fd83e2ee17f28c81cae4a551104">DGtal::ATu2v0::getLambda</a></div><div class="ttdeci">Scalar getLambda() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00279">ATu2v0.h:279</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a436435e150c5490e92d06813737d661f"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a436435e150c5490e92d06813737d661f">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00346">ATu2v0.h:346</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a45f460beaf2ecb1b3946a652c021c986"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a45f460beaf2ecb1b3946a652c021c986">DGtal::ATu2v0::init</a></div><div class="ttdeci">void init(Clone< KSpace > K)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a4cbb8f498886e1ee550c42f6ee4d04b5"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a4cbb8f498886e1ee550c42f6ee4d04b5">DGtal::ATu2v0::BOOST_STATIC_ASSERT</a></div><div class="ttdeci">BOOST_STATIC_ASSERT((KSpace::dimension==2))</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a5230f5348c7613c35b7149698057d64f"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a5230f5348c7613c35b7149698057d64f">DGtal::ATu2v0::getAlpha</a></div><div class="ttdeci">Scalar getAlpha() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00276">ATu2v0.h:276</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a551c6f2ca158f388e20380c6327d79b7"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a551c6f2ca158f388e20380c6327d79b7">DGtal::ATu2v0::LinearAlgebra</a></div><div class="ttdeci">TLinearAlgebra LinearAlgebra</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00077">ATu2v0.h:77</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a60ba1c439c646b28d2a1bdd948631dd7"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a60ba1c439c646b28d2a1bdd948631dd7">DGtal::ATu2v0::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_1ATu2v0_html_a615cc4bcac9a8366fe4257928b22eb57"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a615cc4bcac9a8366fe4257928b22eb57">DGtal::ATu2v0::ATu2v0</a></div><div class="ttdeci">ATu2v0(ATu2v0 &&other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a618b247662ece483cbc83609bd9fc04b"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a618b247662ece483cbc83609bd9fc04b">DGtal::ATu2v0::~ATu2v0</a></div><div class="ttdeci">~ATu2v0()=default</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a6367fdaee070f636c9e51c658a9f13f6"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a6367fdaee070f636c9e51c658a9f13f6">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00363">ATu2v0.h:363</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a67274c32b41693c8ad338188d8dc732c"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a67274c32b41693c8ad338188d8dc732c">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00376">ATu2v0.h:376</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a68d407846a63505ec50926d360885996"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a68d407846a63505ec50926d360885996">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00365">ATu2v0.h:365</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a6fe8c72cb4f3aff076148272b1b1d086"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a6fe8c72cb4f3aff076148272b1b1d086">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00367">ATu2v0.h:367</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a73ae02cc2238692aae78efc12c97ea38"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a73ae02cc2238692aae78efc12c97ea38">DGtal::ATu2v0::LinearAlgebraSolver</a></div><div class="ttdeci">LinearAlgebra::SolverSimplicialLLT LinearAlgebraSolver</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00120">ATu2v0.h:120</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a75a27ba0ce9a16a6a4674426d65ec3d6"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a75a27ba0ce9a16a6a4674426d65ec3d6">DGtal::ATu2v0::setUFromInputAndMask</a></div><div class="ttdeci">void setUFromInputAndMask()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a7c25c0b99f4fa0a42769bc7b1c23fa7a"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a7c25c0b99f4fa0a42769bc7b1c23fa7a">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00385">ATu2v0.h:385</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a7f013a03fd166425427e38aa636c410e"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a7f013a03fd166425427e38aa636c410e">DGtal::ATu2v0::l_1_over_4</a></div><div class="ttdeci">PrimalForm0 l_1_over_4</div><div class="ttdoc">lambda 1/4 1</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00387">ATu2v0.h:387</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a7fc40b35ecdcc72748e3899865d142e1"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a7fc40b35ecdcc72748e3899865d142e1">DGtal::ATu2v0::getEpsilon</a></div><div class="ttdeci">Scalar getEpsilon() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00282">ATu2v0.h:282</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a856014983d1e1ba3aadd1da55734a597"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a856014983d1e1ba3aadd1da55734a597">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00342">ATu2v0.h:342</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a86711cc5d818b0512519f822f2581f22"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a86711cc5d818b0512519f822f2581f22">DGtal::ATu2v0::SolverU</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 2, PRIMAL, 2, PRIMAL > SolverU</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00122">ATu2v0.h:122</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a86e5ad1b2e69e02375651a6500a282cf"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a86e5ad1b2e69e02375651a6500a282cf">DGtal::ATu2v0::ATu2v0</a></div><div class="ttdeci">ATu2v0(int _verbose=1)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a8d11cfac7d75ce7693d35cee69fffbb6"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a8d11cfac7d75ce7693d35cee69fffbb6">DGtal::ATu2v0::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha, const PrimalForm2 &m)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a8f1ceb9fc3a86254e6b774b35233102f"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a8f1ceb9fc3a86254e6b774b35233102f">DGtal::ATu2v0::solveV</a></div><div class="ttdeci">bool solveV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a8f7ee247ac70dcda51b597b35a0ccd73"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a8f7ee247ac70dcda51b597b35a0ccd73">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00351">ATu2v0.h:351</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a9b7623bc66ece3b31ddcc380c7380455"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a9b7623bc66ece3b31ddcc380c7380455">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00359">ATu2v0.h:359</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_a9b8f6bf5f3a5b1752268ce8fcac1a011"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#a9b8f6bf5f3a5b1752268ce8fcac1a011">DGtal::ATu2v0::getU</a></div><div class="ttdeci">const PrimalForm2 & getU(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00290">ATu2v0.h:290</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_aa6fda398e623e41f1d55d6ade81c468f"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#aa6fda398e623e41f1d55d6ade81c468f">DGtal::ATu2v0::SolverV</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 0, PRIMAL, 0, PRIMAL > SolverV</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00124">ATu2v0.h:124</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_aa9130c31c3b85f21bd366a386f8b94f1"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#aa9130c31c3b85f21bd366a386f8b94f1">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00369">ATu2v0.h:369</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ab00c3b9f32a9ed70bdb833ecda021c7e"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ab00c3b9f32a9ed70bdb833ecda021c7e">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00349">ATu2v0.h:349</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ac320de5e60094a1556a41c00292f7069"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ac320de5e60094a1556a41c00292f7069">DGtal::ATu2v0::KSpace</a></div><div class="ttdeci">TKSpace KSpace</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00076">ATu2v0.h:76</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ac857c812a1476901dc23f3a52ba1281a"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ac857c812a1476901dc23f3a52ba1281a">DGtal::ATu2v0::solveU</a></div><div class="ttdeci">bool solveU()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_aca983a126a837ebacac2169ab80d1396"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#aca983a126a837ebacac2169ab80d1396">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00383">ATu2v0.h:383</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ace157ee360b57a191ebf2515c7a9b912"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ace157ee360b57a191ebf2515c7a9b912">DGtal::ATu2v0::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_1ATu2v0_html_ad3b8a06314b27c2089239c22d22a1487"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ad3b8a06314b27c2089239c22d22a1487">DGtal::ATu2v0::getG</a></div><div class="ttdeci">const PrimalForm2 & getG(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00286">ATu2v0.h:286</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ad578c897851a7cd10fd699b7801fa080"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ad578c897851a7cd10fd699b7801fa080">DGtal::ATu2v0::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ad5d0d1b929e51d53a773c837c2b118fb"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ad5d0d1b929e51d53a773c837c2b118fb">DGtal::ATu2v0::size0</a></div><div class="ttdeci">unsigned int size0() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00296">ATu2v0.h:296</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_adbff2db05b44295b23dc0d9335800857"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#adbff2db05b44295b23dc0d9335800857">DGtal::ATu2v0::operator=</a></div><div class="ttdeci">ATu2v0 & operator=(const ATu2v0 &other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ae0e82804b5e1a87aabe9b1e5e13ac24d"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ae0e82804b5e1a87aabe9b1e5e13ac24d">DGtal::ATu2v0::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="ATu2v0_8h_source.html#l00381">ATu2v0.h:381</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ae12db4be3f0d5ccf6b2f514816e056ad"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ae12db4be3f0d5ccf6b2f514816e056ad">DGtal::ATu2v0::isValid</a></div><div class="ttdeci">bool isValid() const</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_ae7b9cbf941f0f932f7a08799d2e27b27"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#ae7b9cbf941f0f932f7a08799d2e27b27">DGtal::ATu2v0::setLambda</a></div><div class="ttdeci">void setLambda(Scalar _lambda)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_af863f2fbc86d3f6c7de6ec8c0fb670c8"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#af863f2fbc86d3f6c7de6ec8c0fb670c8">DGtal::ATu2v0::Base</a></div><div class="ttdeci">DECImage2D< TKSpace, TLinearAlgebra > Base</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00078">ATu2v0.h:78</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu2v0_html_aff0dcc6e3818973285d79bc4fa702dfd"><div class="ttname"><a href="structDGtal_1_1ATu2v0.html#aff0dcc6e3818973285d79bc4fa702dfd">DGtal::ATu2v0::getV</a></div><div class="ttdeci">const PrimalForm0 & getV() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu2v0_8h_source.html#l00293">ATu2v0.h:293</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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