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ATu0v1_8h_source.html
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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">ATu0v1.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(ATu0v1_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 ATu0v1.h</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#else </span><span class="comment">// defined(ATu0v1_RECURSES)</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span>#define ATu0v1_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 ATu0v1_h</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#define ATu0v1_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 ATu0v1</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_1ATu0v1.html"> 74</a></span>  <span class="keyword">struct </span><a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</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_1ATu0v1.html#ae5f17526b7797f48bbb3bf307b5ce1d1"> 76</a></span>  <span class="keyword">typedef</span> TKSpace <a class="code" href="structDGtal_1_1ATu0v1.html#ae5f17526b7797f48bbb3bf307b5ce1d1">KSpace</a>;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a63d1a9d5a297044bec70465ac3efc89e"> 77</a></span>  <span class="keyword">typedef</span> TLinearAlgebra <a class="code" href="structDGtal_1_1ATu0v1.html#a63d1a9d5a297044bec70465ac3efc89e">LinearAlgebra</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#abb917bb3f2b6bf81ef340bad6e8172f3"> 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_1ATu0v1.html#abb917bb3f2b6bf81ef340bad6e8172f3">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#adea02f9c858e9e29b6e6871597d3bdfa">Base::PrimalHodge0</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#ad0611f63fb1dcd2e003e742d70e6224e">Base::PrimalHodge1</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#a1fbb33cba0a66c334f26bcb3cab18cde">Base::PrimalHodge2</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#aeae1f0fef376e88c36978130b769b2ec">Base::DualHodge0</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#ab902b7f4cf4e2837311ffcb7cbcdba00">Base::DualHodge1</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#a3731ef2fc31b6e75cb27ac5051e5fec0">Base::DualHodge2</a>;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a3041eccbb9dfa079e07e2c78b3dad84f">Base::calculus</a>;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a14917c879e65f590b00290639a07952e">Base::verbose</a>;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#a2c8a3a42a1c57467a93a54b6966f2bda">Base::D0</a>;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">using</span> <a class="code" href="structDGtal_1_1DECImage2D.html#af82a69b501567cec4552cb2274732845">Base::D1</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#a1a3c046736c8f6b09ce47f7316ab9dd9">Base::dual_D0</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#affe6aa43745d1e77856ceb68ab4f339e">Base::dual_D1</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#a80c0d7c61acd87171779053c4c63d849">Base::primal_h0</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#a8dcc13cb4c2c2e98d28223676c296f09">Base::primal_h1</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#a28ddbaa8ffe691a3fdfbee9f20c686c4">Base::primal_h2</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#a3272ff7259f7e4079cd2c6b10b0c4aaa">Base::dual_h0</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#a39696351afed6cc48e959205c6946d44">Base::dual_h1</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#a798a6d12a28ff903d8ed64ae1f18605a">Base::dual_h2</a>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#af83c4287750bb08cd789488195ae7ed0"> 116</a></span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> LinearAlgebra::SolverSimplicialLLT <a class="code" href="structDGtal_1_1ATu0v1.html#af83c4287750bb08cd789488195ae7ed0">LinearAlgebraSolver</a>;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</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="l00118"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a22edfa0e56cb42ec3055e05280f9e9d4"> 118</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a22edfa0e56cb42ec3055e05280f9e9d4">SolverU</a>;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">typedef</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1DiscreteExteriorCalculusSolver.html">DiscreteExteriorCalculusSolver<Calculus, LinearAlgebraSolver, 1, PRIMAL, 1, PRIMAL></a> </div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a64e39e5cd1d8c12641f5572d0c18d365"> 120</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a64e39e5cd1d8c12641f5572d0c18d365">SolverV</a>;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a9ac0d59d34ed264d563ef94623d38941"> 122</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a9ac0d59d34ed264d563ef94623d38941">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="l00123"></a><span class="lineno"> 123</span>  </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// ----------------------- Standard services ------------------------------</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a947e7ef037be77c9ba5e1146013fd3ca"> 130</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a947e7ef037be77c9ba5e1146013fd3ca">~ATu0v1</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a989f1dea08b5db81654e9f912b81dc5a"> 136</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a989f1dea08b5db81654e9f912b81dc5a">ATu0v1</a>( <span class="keywordtype">int</span> _verbose = 1 );</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aa4309c429097671e73cada23a3e41a7a"> 141</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#aa4309c429097671e73cada23a3e41a7a">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="l00142"></a><span class="lineno"> 142</span>  </div>
<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aa8d04d2e794ff01a500da84c0daa5e94"> 147</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#aa8d04d2e794ff01a500da84c0daa5e94">ATu0v1</a> ( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</a> & other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  </div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a2b79ee89abe1c90c16bfe744929248e3"> 153</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a2b79ee89abe1c90c16bfe744929248e3">ATu0v1</a> ( <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</a> && other ) = <span class="keyword">delete</span>;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aff2ed2775395c1d8ff6bd7bfa62003b2"> 160</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</a> & <a class="code" href="structDGtal_1_1ATu0v1.html#aff2ed2775395c1d8ff6bd7bfa62003b2">operator= </a>( <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</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_1ATu0v1.html#a1029714be430e2f24ecd1a70b41310fd"> 167</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</a> & <a class="code" href="structDGtal_1_1ATu0v1.html#aff2ed2775395c1d8ff6bd7bfa62003b2">operator= </a>( <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1</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="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> Image, <span class="keyword">typename</span> Function ></div>
<div class="line"><a name="l00198"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aa5f3c84411fb3f11d4178a98fc9df855"> 198</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#aa5f3c84411fb3f11d4178a98fc9df855">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="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">const</span> Function& f,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">bool</span> perfect_data = <span class="keyword">false</span> );</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a125f258681fdcdff72cbc7acf6de76fe"> 205</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a125f258681fdcdff72cbc7acf6de76fe">setUFromInput</a>();</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  </div>
<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a4ba8c19e4903b1766f8f6fdd90d5b4bc"> 215</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a4ba8c19e4903b1766f8f6fdd90d5b4bc">setAlpha</a>( <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _alpha );</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a28dbb11b86870a2f71482da0a4859764"> 232</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a28dbb11b86870a2f71482da0a4859764">setAlpha</a>( <a class="code" href="structDGtal_1_1ATu0v1.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">PrimalForm0</a>& m );</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  </div>
<div class="line"><a name="l00244"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a7e566b513b249ccc9b33e86cf5ff3775"> 244</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a7e566b513b249ccc9b33e86cf5ff3775">setLambda</a>( <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _lambda );</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  </div>
<div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aa7829a57dd534212fc53d9dbebb9fd4d"> 256</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#aa7829a57dd534212fc53d9dbebb9fd4d">setEpsilon</a>( <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> _epsilon );</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  </div>
<div class="line"><a name="l00259"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a3b5d16803f79a384e6a9f50e1aa2e25b"> 259</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a3b5d16803f79a384e6a9f50e1aa2e25b">computeSNR</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  </div>
<div class="line"><a name="l00262"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a00ee275a90f8df839b9ac679a14c0504"> 262</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a00ee275a90f8df839b9ac679a14c0504">getAlpha</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ad1e2a5b7a13defe9afedc12788564dbc">alpha</a>; }</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  </div>
<div class="line"><a name="l00265"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aa5e28c8398180a2593951d27f964937e"> 265</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#aa5e28c8398180a2593951d27f964937e">getLambda</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ac380100863d00ea00aef872de59ae278">lambda</a>; }</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  </div>
<div class="line"><a name="l00268"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a7dc8720fca3ea8f8462d5fc5e16eb3c7"> 268</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a7dc8720fca3ea8f8462d5fc5e16eb3c7">getEpsilon</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a721d664113dd2bbe980c2be140f75ea5">epsilon</a>; }</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  </div>
<div class="line"><a name="l00272"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a869f7c426e9c87c526d3571f34ee9c43"> 272</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_1ATu0v1.html#a869f7c426e9c87c526d3571f34ee9c43">getG</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a1d4fb08675b81748b433c6720764d63b">g0</a>.at( i ); }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  </div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#acdec5069626b10ed0587a9d780ea07e7"> 276</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_1ATu0v1.html#acdec5069626b10ed0587a9d780ea07e7">getU</a>( <span class="keywordtype">int</span> i )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a6bac30de81227f5a72ae2e6c2a2db971">u0</a>.at( i ); }</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_1ATu0v1.html#a74b144979644499e604fc1c87b8f8004"> 279</a></span>  <span class="keyword">const</span> <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm1</a>& <a class="code" href="structDGtal_1_1ATu0v1.html#a74b144979644499e604fc1c87b8f8004">getV</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ab893eeeda6dab64c8e0e9417ace7374e">v1</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_1ATu0v1.html#a2a100b4703f9b0b3f40d38ea5d3ff616"> 282</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a2a100b4703f9b0b3f40d38ea5d3ff616">size0</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a4043afb1f63933ad54e7326668f4e8de">alpha_Id0</a>.<a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html#aa5696bafeed5f62de870b35ef6b9dad8">myContainer</a>.columns(); }</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_1ATu0v1.html#a3d824be2a31006ef40504ab2397316a7"> 285</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a3d824be2a31006ef40504ab2397316a7">size1</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ab893eeeda6dab64c8e0e9417ace7374e">v1</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="l00286"></a><span class="lineno"> 286</span>  </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="comment">// ----------------------- Solver --------------------------------------</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  </div>
<div class="line"><a name="l00292"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a1dd045fce7146e3109f7b7f6430ac60e"> 292</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a1dd045fce7146e3109f7b7f6430ac60e">solveU</a>();</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  </div>
<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a3df28dbd502d89c229f4e6211e6486c6"> 296</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a3df28dbd502d89c229f4e6211e6486c6">solveV</a>();</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  </div>
<div class="line"><a name="l00302"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a510727ea3b3c7aa8dd31422fc579b741"> 302</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a510727ea3b3c7aa8dd31422fc579b741">computeVariation</a>();</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_1ATu0v1.html#aa2bef6a10ef83305024b1a5d63c78434"> 306</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#aa2bef6a10ef83305024b1a5d63c78434">checkV</a>();</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="comment">// ----------------------- Interface --------------------------------------</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
<div class="line"><a name="l00315"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#aaa98965ced26e43474fc942485820f31"> 315</a></span>  <span class="keywordtype">void</span> <a class="code" href="structDGtal_1_1ATu0v1.html#aaa98965ced26e43474fc942485820f31">selfDisplay</a> ( std::ostream & out ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  </div>
<div class="line"><a name="l00321"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#acda214e2788f53240a83815844857426"> 321</a></span>  <span class="keywordtype">bool</span> <a class="code" href="structDGtal_1_1ATu0v1.html#acda214e2788f53240a83815844857426">isValid</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  </div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="comment">// ------------------------- Public Datas ------------------------------</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  </div>
<div class="line"><a name="l00328"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#ab91621c28544e2f96b2d83af52f4f308"> 328</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#ab91621c28544e2f96b2d83af52f4f308">delta_v_l1</a>;</div>
<div class="line"><a name="l00330"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#abd177eee666421dd3b696fcd23cbf6c7"> 330</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#abd177eee666421dd3b696fcd23cbf6c7">delta_v_l2</a>;</div>
<div class="line"><a name="l00332"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a85e66326e51c693d3bddd2d68aa664ef"> 332</a></span>  <a class="code" href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">Scalar</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a85e66326e51c693d3bddd2d68aa664ef">delta_v_loo</a>;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  </div>
<div class="line"><a name="l00335"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a812721bee50861087f148aeb0fd210f7"> 335</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a812721bee50861087f148aeb0fd210f7">L1</a>;</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>  <span class="comment">// ------------------------- Protected Datas ------------------------------</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
<div class="line"><a name="l00341"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a1d4fb08675b81748b433c6720764d63b"> 341</a></span>  std::vector< PrimalForm0 > <a class="code" href="structDGtal_1_1ATu0v1.html#a1d4fb08675b81748b433c6720764d63b">g0</a>;</div>
<div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a4fc9860b18a5c9008f76471c30e121aa"> 343</a></span>  std::vector< PrimalForm0 > <a class="code" href="structDGtal_1_1ATu0v1.html#a4fc9860b18a5c9008f76471c30e121aa">i0</a>;</div>
<div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a6bac30de81227f5a72ae2e6c2a2db971"> 345</a></span>  std::vector< PrimalForm0 > <a class="code" href="structDGtal_1_1ATu0v1.html#a6bac30de81227f5a72ae2e6c2a2db971">u0</a>;</div>
<div class="line"><a name="l00347"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#ab893eeeda6dab64c8e0e9417ace7374e"> 347</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#ab893eeeda6dab64c8e0e9417ace7374e">v1</a>;</div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a81d9b5f75e4f7d4c31e239a4b90116bd"> 349</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a81d9b5f75e4f7d4c31e239a4b90116bd">former_v1</a>;</div>
<div class="line"><a name="l00351"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#ad1e2a5b7a13defe9afedc12788564dbc"> 351</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ad1e2a5b7a13defe9afedc12788564dbc">alpha</a>;</div>
<div class="line"><a name="l00353"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#ac380100863d00ea00aef872de59ae278"> 353</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu0v1.html#ac380100863d00ea00aef872de59ae278">lambda</a>;</div>
<div class="line"><a name="l00355"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a721d664113dd2bbe980c2be140f75ea5"> 355</a></span>  <span class="keywordtype">double</span> <a class="code" href="structDGtal_1_1ATu0v1.html#a721d664113dd2bbe980c2be140f75ea5">epsilon</a>;</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  </div>
<div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a0771dd909a8260c2b42949bd7bca92dd"> 358</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_1ATu0v1.html#a0771dd909a8260c2b42949bd7bca92dd">solver_u</a>;</div>
<div class="line"><a name="l00360"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a5fc8ee1e7bcb8c73038d759f9195543f"> 360</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_1ATu0v1.html#a5fc8ee1e7bcb8c73038d759f9195543f">solver_v</a>;</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  </div>
<div class="line"><a name="l00363"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a4043afb1f63933ad54e7326668f4e8de"> 363</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_1ATu0v1.html#a4043afb1f63933ad54e7326668f4e8de">alpha_Id0</a>;</div>
<div class="line"><a name="l00365"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#abd2868d97704be3dada1b43fff737b07"> 365</a></span>  std::vector< PrimalForm0 > <a class="code" href="structDGtal_1_1ATu0v1.html#abd2868d97704be3dada1b43fff737b07">alpha_g0</a>;</div>
<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#ac6a60f054046be812a1f9d25fa9a9481"> 367</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#ac6a60f054046be812a1f9d25fa9a9481">l_L1</a>;</div>
<div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#af4270c210d204bd5f0ec248370c9f960"> 369</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#af4270c210d204bd5f0ec248370c9f960">l_1_over_4</a>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a0143ce5681747cfabb0e3f0806e32fe9"> 371</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html">PrimalIdentity1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a0143ce5681747cfabb0e3f0806e32fe9">left_V1</a>;</div>
<div class="line"><a name="l00373"></a><span class="lineno"><a class="line" href="structDGtal_1_1ATu0v1.html#a05f6c405f6413423ed1d9f366fa9ec6d"> 373</a></span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1KForm.html">PrimalForm1</a> <a class="code" href="structDGtal_1_1ATu0v1.html#a05f6c405f6413423ed1d9f366fa9ec6d">l_1_over_4e</a>;</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="comment">// ------------------------- Private Datas --------------------------------</span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="comment">// ------------------------- Hidden services ------------------------------</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  </div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="comment">// ------------------------- Internals ------------------------------------</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  }; <span class="comment">// end of class ATu0v1</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> TKSpace, <span class="keyword">typename</span> TLinearAlgebra></div>
<div class="line"><a name="l00394"></a><span class="lineno"><a class="line" href="namespaceDGtal.html#a66aca9ad97cfa71ddd5b1333a392d50d"> 394</a></span>  std::ostream&</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <a class="codeRef" href="https://dgtal-team.github.io/doc-nightly/namespaceDGtal.html#a6c5c11e869e737331dc7555ccd76fd6d">operator<< </a>( std::ostream & out, <span class="keyword">const</span> <a class="code" href="structDGtal_1_1ATu0v1.html">ATu0v1<TKSpace, TLinearAlgebra></a> & <span class="keywordtype">object</span> );</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> } <span class="comment">// namespace DGtal</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment">// Includes inline functions.</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment">//#include "DGtal/dec/ATu0v1.ih"</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="preprocessor">#include "ATu0v1.ih"</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">// //</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="comment"></span> </div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="preprocessor">#endif </span><span class="comment">// !defined ATu0v1_h</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="preprocessor">#undef ATu0v1_RECURSES</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="preprocessor">#endif </span><span class="comment">// else defined(ATu0v1_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, 0, PRIMAL, 0, 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="aclassDGtal_1_1LinearOperator_html_aa5696bafeed5f62de870b35ef6b9dad8"><div class="ttname"><a href="https://dgtal-team.github.io/doc-nightly/classDGtal_1_1LinearOperator.html#aa5696bafeed5f62de870b35ef6b9dad8">DGtal::LinearOperator::myContainer</a></div><div class="ttdeci">Container myContainer</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_1ATu0v1_html"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html">DGtal::ATu0v1</a></div><div class="ttdoc">Aim: This class solves Ambrosio-Tortorelli functional in a plane for u a (vector of) 0-form(s) and v ...</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00074">ATu0v1.h:75</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a00ee275a90f8df839b9ac679a14c0504"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a00ee275a90f8df839b9ac679a14c0504">DGtal::ATu0v1::getAlpha</a></div><div class="ttdeci">Scalar getAlpha() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00262">ATu0v1.h:262</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a0143ce5681747cfabb0e3f0806e32fe9"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a0143ce5681747cfabb0e3f0806e32fe9">DGtal::ATu0v1::left_V1</a></div><div class="ttdeci">PrimalIdentity1 left_V1</div><div class="ttdoc">epsilon * lambda * edge laplacien + (lambda / (4*epsilon)) * Id1</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00371">ATu0v1.h:371</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a05f6c405f6413423ed1d9f366fa9ec6d"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a05f6c405f6413423ed1d9f366fa9ec6d">DGtal::ATu0v1::l_1_over_4e</a></div><div class="ttdeci">PrimalForm1 l_1_over_4e</div><div class="ttdoc">lambda 1/(4*epsilon) 1</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00373">ATu0v1.h:373</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a0771dd909a8260c2b42949bd7bca92dd"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a0771dd909a8260c2b42949bd7bca92dd">DGtal::ATu0v1::solver_u</a></div><div class="ttdeci">SolverU solver_u</div><div class="ttdoc">The solver for every 0-form u[i].</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00358">ATu0v1.h:358</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a125f258681fdcdff72cbc7acf6de76fe"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a125f258681fdcdff72cbc7acf6de76fe">DGtal::ATu0v1::setUFromInput</a></div><div class="ttdeci">void setUFromInput()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a1d4fb08675b81748b433c6720764d63b"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a1d4fb08675b81748b433c6720764d63b">DGtal::ATu0v1::g0</a></div><div class="ttdeci">std::vector< PrimalForm0 > g0</div><div class="ttdoc">The g 0-forms.</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00341">ATu0v1.h:341</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a1dd045fce7146e3109f7b7f6430ac60e"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a1dd045fce7146e3109f7b7f6430ac60e">DGtal::ATu0v1::solveU</a></div><div class="ttdeci">bool solveU()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a22edfa0e56cb42ec3055e05280f9e9d4"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a22edfa0e56cb42ec3055e05280f9e9d4">DGtal::ATu0v1::SolverU</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 0, PRIMAL, 0, PRIMAL > SolverU</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00118">ATu0v1.h:118</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a28dbb11b86870a2f71482da0a4859764"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a28dbb11b86870a2f71482da0a4859764">DGtal::ATu0v1::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha, const PrimalForm0 &m)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a2a100b4703f9b0b3f40d38ea5d3ff616"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a2a100b4703f9b0b3f40d38ea5d3ff616">DGtal::ATu0v1::size0</a></div><div class="ttdeci">unsigned int size0() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00282">ATu0v1.h:282</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a2b79ee89abe1c90c16bfe744929248e3"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a2b79ee89abe1c90c16bfe744929248e3">DGtal::ATu0v1::ATu0v1</a></div><div class="ttdeci">ATu0v1(ATu0v1 &&other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a3b5d16803f79a384e6a9f50e1aa2e25b"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a3b5d16803f79a384e6a9f50e1aa2e25b">DGtal::ATu0v1::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_1ATu0v1_html_a3d824be2a31006ef40504ab2397316a7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a3d824be2a31006ef40504ab2397316a7">DGtal::ATu0v1::size1</a></div><div class="ttdeci">unsigned int size1() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00285">ATu0v1.h:285</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a3df28dbd502d89c229f4e6211e6486c6"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a3df28dbd502d89c229f4e6211e6486c6">DGtal::ATu0v1::solveV</a></div><div class="ttdeci">bool solveV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a4043afb1f63933ad54e7326668f4e8de"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a4043afb1f63933ad54e7326668f4e8de">DGtal::ATu0v1::alpha_Id0</a></div><div class="ttdeci">PrimalIdentity0 alpha_Id0</div><div class="ttdoc">alpha Id0</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00363">ATu0v1.h:363</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a4ba8c19e4903b1766f8f6fdd90d5b4bc"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a4ba8c19e4903b1766f8f6fdd90d5b4bc">DGtal::ATu0v1::setAlpha</a></div><div class="ttdeci">void setAlpha(Scalar _alpha)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a4fc9860b18a5c9008f76471c30e121aa"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a4fc9860b18a5c9008f76471c30e121aa">DGtal::ATu0v1::i0</a></div><div class="ttdeci">std::vector< PrimalForm0 > i0</div><div class="ttdoc">The ideal input 0-forms (for snr computation).</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00343">ATu0v1.h:343</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a510727ea3b3c7aa8dd31422fc579b741"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a510727ea3b3c7aa8dd31422fc579b741">DGtal::ATu0v1::computeVariation</a></div><div class="ttdeci">Scalar computeVariation()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a5fc8ee1e7bcb8c73038d759f9195543f"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a5fc8ee1e7bcb8c73038d759f9195543f">DGtal::ATu0v1::solver_v</a></div><div class="ttdeci">SolverV solver_v</div><div class="ttdoc">The solver for 1-form v.</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00360">ATu0v1.h:360</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a60ba1c439c646b28d2a1bdd948631dd7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a60ba1c439c646b28d2a1bdd948631dd7">DGtal::ATu0v1::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_1ATu0v1_html_a63d1a9d5a297044bec70465ac3efc89e"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a63d1a9d5a297044bec70465ac3efc89e">DGtal::ATu0v1::LinearAlgebra</a></div><div class="ttdeci">TLinearAlgebra LinearAlgebra</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00077">ATu0v1.h:77</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a64e39e5cd1d8c12641f5572d0c18d365"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a64e39e5cd1d8c12641f5572d0c18d365">DGtal::ATu0v1::SolverV</a></div><div class="ttdeci">DiscreteExteriorCalculusSolver< Calculus, LinearAlgebraSolver, 1, PRIMAL, 1, PRIMAL > SolverV</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00120">ATu0v1.h:120</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a6bac30de81227f5a72ae2e6c2a2db971"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a6bac30de81227f5a72ae2e6c2a2db971">DGtal::ATu0v1::u0</a></div><div class="ttdeci">std::vector< PrimalForm0 > u0</div><div class="ttdoc">The u 0-forms.</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00345">ATu0v1.h:345</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a721d664113dd2bbe980c2be140f75ea5"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a721d664113dd2bbe980c2be140f75ea5">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00355">ATu0v1.h:355</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a74b144979644499e604fc1c87b8f8004"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a74b144979644499e604fc1c87b8f8004">DGtal::ATu0v1::getV</a></div><div class="ttdeci">const PrimalForm1 & getV() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00279">ATu0v1.h:279</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a7dc8720fca3ea8f8462d5fc5e16eb3c7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a7dc8720fca3ea8f8462d5fc5e16eb3c7">DGtal::ATu0v1::getEpsilon</a></div><div class="ttdeci">Scalar getEpsilon() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00268">ATu0v1.h:268</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a7e566b513b249ccc9b33e86cf5ff3775"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a7e566b513b249ccc9b33e86cf5ff3775">DGtal::ATu0v1::setLambda</a></div><div class="ttdeci">void setLambda(Scalar _lambda)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a812721bee50861087f148aeb0fd210f7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a812721bee50861087f148aeb0fd210f7">DGtal::ATu0v1::L1</a></div><div class="ttdeci">PrimalIdentity1 L1</div><div class="ttdoc">edge laplacien</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00335">ATu0v1.h:335</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a81d9b5f75e4f7d4c31e239a4b90116bd"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a81d9b5f75e4f7d4c31e239a4b90116bd">DGtal::ATu0v1::former_v1</a></div><div class="ttdeci">PrimalForm1 former_v1</div><div class="ttdoc">The v 1-form at the previous iteration.</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00349">ATu0v1.h:349</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a85e66326e51c693d3bddd2d68aa664ef"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a85e66326e51c693d3bddd2d68aa664ef">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00332">ATu0v1.h:332</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a869f7c426e9c87c526d3571f34ee9c43"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a869f7c426e9c87c526d3571f34ee9c43">DGtal::ATu0v1::getG</a></div><div class="ttdeci">const PrimalForm0 & getG(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00272">ATu0v1.h:272</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a947e7ef037be77c9ba5e1146013fd3ca"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a947e7ef037be77c9ba5e1146013fd3ca">DGtal::ATu0v1::~ATu0v1</a></div><div class="ttdeci">~ATu0v1()=default</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a989f1dea08b5db81654e9f912b81dc5a"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a989f1dea08b5db81654e9f912b81dc5a">DGtal::ATu0v1::ATu0v1</a></div><div class="ttdeci">ATu0v1(int _verbose=1)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_a9ac0d59d34ed264d563ef94623d38941"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#a9ac0d59d34ed264d563ef94623d38941">DGtal::ATu0v1::BOOST_STATIC_ASSERT</a></div><div class="ttdeci">BOOST_STATIC_ASSERT((KSpace::dimension==2))</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aa2bef6a10ef83305024b1a5d63c78434"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa2bef6a10ef83305024b1a5d63c78434">DGtal::ATu0v1::checkV</a></div><div class="ttdeci">Scalar checkV()</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aa4309c429097671e73cada23a3e41a7a"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa4309c429097671e73cada23a3e41a7a">DGtal::ATu0v1::init</a></div><div class="ttdeci">void init(Clone< KSpace > K)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aa5e28c8398180a2593951d27f964937e"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa5e28c8398180a2593951d27f964937e">DGtal::ATu0v1::getLambda</a></div><div class="ttdeci">Scalar getLambda() const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00265">ATu0v1.h:265</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aa5f3c84411fb3f11d4178a98fc9df855"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa5f3c84411fb3f11d4178a98fc9df855">DGtal::ATu0v1::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_1ATu0v1_html_aa7829a57dd534212fc53d9dbebb9fd4d"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa7829a57dd534212fc53d9dbebb9fd4d">DGtal::ATu0v1::setEpsilon</a></div><div class="ttdeci">void setEpsilon(Scalar _epsilon)</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aa8d04d2e794ff01a500da84c0daa5e94"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aa8d04d2e794ff01a500da84c0daa5e94">DGtal::ATu0v1::ATu0v1</a></div><div class="ttdeci">ATu0v1(const ATu0v1 &other)=delete</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aaa98965ced26e43474fc942485820f31"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aaa98965ced26e43474fc942485820f31">DGtal::ATu0v1::selfDisplay</a></div><div class="ttdeci">void selfDisplay(std::ostream &out) const</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ab893eeeda6dab64c8e0e9417ace7374e"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ab893eeeda6dab64c8e0e9417ace7374e">DGtal::ATu0v1::v1</a></div><div class="ttdeci">PrimalForm1 v1</div><div class="ttdoc">The v 1-form.</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00347">ATu0v1.h:347</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ab91621c28544e2f96b2d83af52f4f308"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ab91621c28544e2f96b2d83af52f4f308">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00328">ATu0v1.h:328</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_abb917bb3f2b6bf81ef340bad6e8172f3"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#abb917bb3f2b6bf81ef340bad6e8172f3">DGtal::ATu0v1::Base</a></div><div class="ttdeci">DECImage2D< TKSpace, TLinearAlgebra > Base</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00078">ATu0v1.h:78</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_abd177eee666421dd3b696fcd23cbf6c7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#abd177eee666421dd3b696fcd23cbf6c7">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00330">ATu0v1.h:330</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_abd2868d97704be3dada1b43fff737b07"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#abd2868d97704be3dada1b43fff737b07">DGtal::ATu0v1::alpha_g0</a></div><div class="ttdeci">std::vector< PrimalForm0 > alpha_g0</div><div class="ttdoc">alpha g0</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00365">ATu0v1.h:365</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ac380100863d00ea00aef872de59ae278"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ac380100863d00ea00aef872de59ae278">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00353">ATu0v1.h:353</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ac6a60f054046be812a1f9d25fa9a9481"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ac6a60f054046be812a1f9d25fa9a9481">DGtal::ATu0v1::l_L1</a></div><div class="ttdeci">PrimalIdentity1 l_L1</div><div class="ttdoc">lambda * edge laplacien</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00367">ATu0v1.h:367</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_acda214e2788f53240a83815844857426"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#acda214e2788f53240a83815844857426">DGtal::ATu0v1::isValid</a></div><div class="ttdeci">bool isValid() const</div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_acdec5069626b10ed0587a9d780ea07e7"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#acdec5069626b10ed0587a9d780ea07e7">DGtal::ATu0v1::getU</a></div><div class="ttdeci">const PrimalForm0 & getU(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00276">ATu0v1.h:276</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ad1e2a5b7a13defe9afedc12788564dbc"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ad1e2a5b7a13defe9afedc12788564dbc">DGtal::ATu0v1::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="ATu0v1_8h_source.html#l00351">ATu0v1.h:351</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_ae5f17526b7797f48bbb3bf307b5ce1d1"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#ae5f17526b7797f48bbb3bf307b5ce1d1">DGtal::ATu0v1::KSpace</a></div><div class="ttdeci">TKSpace KSpace</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00076">ATu0v1.h:76</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_af4270c210d204bd5f0ec248370c9f960"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#af4270c210d204bd5f0ec248370c9f960">DGtal::ATu0v1::l_1_over_4</a></div><div class="ttdeci">PrimalForm1 l_1_over_4</div><div class="ttdoc">lambda 1/4 1</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00369">ATu0v1.h:369</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_af83c4287750bb08cd789488195ae7ed0"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#af83c4287750bb08cd789488195ae7ed0">DGtal::ATu0v1::LinearAlgebraSolver</a></div><div class="ttdeci">LinearAlgebra::SolverSimplicialLLT LinearAlgebraSolver</div><div class="ttdef"><b>Definition:</b> <a href="ATu0v1_8h_source.html#l00116">ATu0v1.h:116</a></div></div>
<div class="ttc" id="astructDGtal_1_1ATu0v1_html_aff2ed2775395c1d8ff6bd7bfa62003b2"><div class="ttname"><a href="structDGtal_1_1ATu0v1.html#aff2ed2775395c1d8ff6bd7bfa62003b2">DGtal::ATu0v1::operator=</a></div><div class="ttdeci">ATu0v1 & operator=(const ATu0v1 &other)=delete</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_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_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_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_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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