-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathATu0v1_8ih_source.html
429 lines (427 loc) · 44.5 KB
/
ATu0v1_8ih_source.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
<!-- HTML header for doxygen 1.8.11-->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.1"/>
<title>DGtalTools: ATu0v1.ih Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
jax: ["input/TeX","output/HTML-CSS"],
});
</script>
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.3/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="modern-doxygen-green.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">DGtalTools
 <span id="projectnumber">1.5.beta</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.1 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "search",false,'Search','.html');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div id="nav-path" class="navpath">
<ul>
<li class="navelem"><a class="el" href="dir_6cf9063572cd6d4016e1e45cf4f66eb2.html">imageProcessing</a></li> </ul>
</div>
</div><!-- top -->
<div class="header">
<div class="headertitle">
<div class="title">ATu0v1.ih</div> </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> /**</div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>  * This program is free software: you can redistribute it and/or modify</div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>  * it under the terms of the GNU Lesser General Public License as</div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>  * published by the Free Software Foundation, either version 3 of the</div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  * License, or (at your option) any later version.</div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>  *</div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  * This program is distributed in the hope that it will be useful,</div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  * but WITHOUT ANY WARRANTY; without even the implied warranty of</div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  * GNU General Public License for more details.</div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  *</div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  * You should have received a copy of the GNU General Public License</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  * along with this program. If not, see <http://www.gnu.org/licenses/>.</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  *</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  **/</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> /**</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  * @file</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  * @author Jacques-Olivier Lachaud (\c [email protected] )</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  * Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  * @author Marion Foare (\c [email protected] )</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  * Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  *</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  * @date 2016/10/12</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  *</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  * Implementation of inline methods defined in ATu0v1.h</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  *</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  * This file is part of the DGtal library.</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  */</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> //////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> #include <cstdlib></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> //////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> // IMPLEMENTATION of inline methods.</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>  </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> // ----------------------- Standard services ------------------------------</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> ATu0v1( int _verbose )</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  : Base( _verbose ),</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  v1( calculus ), former_v1( calculus ), </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  L1( calculus ), alpha_Id0( calculus ),</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  l_L1( calculus ), l_1_over_4( calculus ), </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  left_V1( calculus ), l_1_over_4e( calculus )</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {}</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> void</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> init( Clone<KSpace> aKSpace )</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  Base::init( aKSpace );</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  if ( verbose > 0 ) trace.beginBlock( "Initialize DEC specific operators" );</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  if ( verbose > 1 ) trace.info() << "primal_L1" << std::endl;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  L1 = -1.0 * ( D0 * dual_h2 * dual_D1 * primal_h1</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  + dual_h1 * dual_D0 * primal_h2 * D1 );</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  // JOL: Does not work ! Sign problem ?</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  // L1 = -1.0 * ( D0 * AD1 + AD2 * D1 ); </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  if ( verbose > 1 ) trace.info() << "v1" << std::endl;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  v1 = KForm<Calculus, 1, PRIMAL>::ones( calculus );</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  if ( verbose > 0 ) trace.endBlock();</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> template <typename Image, typename Function></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> void </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> addInput( const Image& image, </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  const Function& f,</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  bool perfect_data )</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  if ( perfect_data ) i0.push_back( PrimalForm0( calculus ) );</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  else g0.push_back( PrimalForm0( calculus ) );</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  PrimalForm0& g = perfect_data ? i0.back() : g0.back();</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  const KSpace& K = calculus.myKSpace; </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  for ( Index index = 0; index < g.myContainer.rows(); index++)</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  SCell cell = g.getSCell( index );</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  g.myContainer( index ) = f( image( K.sCoords( cell ) ) );</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> typename DGtal::ATu0v1<TKSpace, TLinearAlgebra>::Scalar</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> computeSNR() const</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  Scalar MSE = 0.0;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  for ( Dimension i = 0; i < i0.size(); ++i )</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  {</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  Scalar MSEi = 0.0;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  const PrimalForm0 u_minus_i_snr = u0[ i ] - i0[ i ];</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  for ( Index j = 0; j < u_minus_i_snr.length(); ++j )</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  MSEi += u_minus_i_snr.myContainer( j ) * u_minus_i_snr.myContainer( j );</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  MSE += MSEi / (Scalar) u_minus_i_snr.length();</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  MSE /= 3.0;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  return 10.0 * log10(1.0 / MSE);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> void </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> setAlpha( Scalar _alpha )</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  ASSERT( _alpha >= 0.0 );</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  alpha = _alpha;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  // Building alpha_Id0</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  alpha_Id0 = _alpha * calculus.template identity<0, PRIMAL>();</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  alpha_g0.clear();</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  for ( unsigned int i = 0; i < g0.size(); i++ )</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  alpha_g0.push_back( alpha_Id0 * g0[ i ] );</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> void </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> setAlpha( Scalar _alpha, const PrimalForm0& m )</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> {</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  ASSERT( _alpha >= 0.0 );</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  alpha = _alpha;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  // Building alpha_Id0</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  alpha_Id0 = _alpha * functions::dec::diagonal( m ) * calculus.template identity<0, PRIMAL>();</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  alpha_g0.clear();</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  for ( unsigned int i = 0; i < g0.size(); i++ )</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  alpha_g0.push_back( alpha_Id0 * g0[ i ] );</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> }</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> void </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> setLambda( Scalar _lambda )</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  ASSERT( _lambda >= 0.0 );</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  lambda = _lambda;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  l_L1 = lambda * L1;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  l_1_over_4 = (lambda / 4.0 ) * KForm< Calculus, 1, PRIMAL >::ones( calculus );</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> void </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> setEpsilon( Scalar _epsilon )</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  ASSERT( _epsilon > 0.0 );</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  epsilon = _epsilon;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  left_V1 = epsilon * l_L1 + </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  ( lambda/(4.0*epsilon) ) * calculus.template identity<1, PRIMAL>();</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  l_1_over_4e = (1.0/epsilon) * l_1_over_4;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> void </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> setUFromInput()</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  u0 = g0;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> }</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> bool</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> solveU()</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  if ( verbose > 0 ) trace.beginBlock("Solving for u");</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  if ( verbose > 1 ) trace.info() << "- building matrix M : = alpha_Id0 - tA_Diag(v)^2_A" << std::endl;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  PrimalIdentity1 diag_vv = functions::dec::squaredDiagonal( v1 );</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  PrimalIdentity0 Av2A = D0.transpose() * diag_vv * D0 + alpha_Id0;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  if ( verbose > 1 ) trace.info() << "- prefactoring matrix M" << std::endl;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  solver_u.compute( Av2A );</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  bool ok = true;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  for ( Dimension i = 0; i < u0.size(); ++i )</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  if ( verbose > 1 ) trace.info() << "- solving M u[" << i << "] = alpha g[" << i << "]" << std::endl;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  u0[ i ] = solver_u.solve( alpha_g0[ i ] );</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  if ( verbose > 1 ) trace.info() << ( solver_u.isValid() ? "=> OK" : "ERROR" ) << " " << solver_u.myLinearAlgebraSolver.info() << std::endl;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  ok = ok && solver_u.isValid();</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  if ( verbose > 0 ) trace.endBlock();</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  return ok;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> }</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> bool</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> solveV()</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> {</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  former_v1 = v1;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  if ( verbose > 0 ) trace.beginBlock("Solving for v");</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  if ( verbose > 1 ) trace.info() << "- building matrix N := l/4e Id1 + le (tA' A' + tB B) + sum Diag(Au_i)^2" << std::endl;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  // Not the same result as below ! Seems the "good" way of doing it.</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  PrimalIdentity1 N = left_V1;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  for ( Dimension i = 0; i < u0.size(); ++i )</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  {</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  PrimalIdentity1 U2 = functions::dec::squaredDiagonal( D0 * u0[ i ] );</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  N.myContainer += U2.myContainer;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  }</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  // Seems the "bad" way of doing it.</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  // PrimalIdentity0 U2 = functions::dec::squaredDiagonal( u0[ 0 ] );</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  // for ( Dimension i = 1; i < u0.size(); ++i )</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  // U2.myContainer += functions::dec::squaredDiagonal( u0[ i ] ).myContainer;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  // PrimalIdentity1 N = left_V1 + D0 * U2 * D0.transpose();</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  typedef typename PrimalIdentity1::Container Matrix; </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  const Matrix & M = N.myContainer;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  if ( verbose > 2 )</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  for (int k = 0; k < M.outerSize(); ++k)</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  for ( typename Matrix::InnerIterator it( M, k ); it; ++it )</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  if ( ( verbose > 3 ) || ( it.row() == it.col() ) )</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  trace.info() << "[" << it.row() << "," << it.col() << "] = " << it.value() << std::endl;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  if ( verbose > 1 ) trace.info() << "- prefactoring matrix N" << std::endl;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  solver_v.compute( N );</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  if ( verbose > 1 ) trace.info() << "- solving N v = l/4e 1" << std::endl;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  v1 = solver_v.solve( l_1_over_4e );</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  if ( verbose > 1 ) trace.info() << ( solver_v.isValid() ? "OK" : "ERROR" )</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  << " " << solver_v.myLinearAlgebraSolver.info()</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  << std::endl;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  if ( verbose > 0 ) trace.endBlock();</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  return solver_v.isValid();</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> typename DGtal::ATu0v1<TKSpace, TLinearAlgebra>::Scalar</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> computeVariation()</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> {</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  if ( verbose > 0 ) trace.beginBlock( "Compute variation of v.");</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  delta_v_l1 = 0.0;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  delta_v_l2 = 0.0;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  delta_v_loo = 0.0;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  for ( Index index = 0; index < size1(); index++)</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  delta_v_loo = std::max( delta_v_loo, std::fabs( v1.myContainer( index )</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  - former_v1.myContainer( index ) ) );</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  delta_v_l2 += ( v1.myContainer( index ) - former_v1.myContainer( index ) )</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  * ( v1.myContainer( index ) - former_v1.myContainer( index ) );</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  delta_v_l1 += fabs( v1.myContainer( index )</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  - former_v1.myContainer( index ) );</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  delta_v_l1 /= size1();</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  delta_v_l2 = sqrt( delta_v_l2 / size1() );</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  if ( verbose > 0 ) {</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  trace.info() << "Variation |v^k+1 - v^k|_oo = " << delta_v_loo << std::endl;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  trace.info() << "Variation |v^k+1 - v^k|_2 = " << delta_v_l2 << std::endl;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  trace.info() << "Variation |v^k+1 - v^k|_1 = " << delta_v_l1 << std::endl;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  if ( verbose > 0 ) trace.endBlock();</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  return delta_v_loo;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> }</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  </div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> //-----------------------------------------------------------------------------</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> typename DGtal::ATu0v1<TKSpace, TLinearAlgebra>::Scalar</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> checkV()</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  if ( verbose > 0 ) trace.beginBlock("Checking v");</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  Scalar m1 = 1.0;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  Scalar m2 = 0.0;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  Scalar ma = 0.0;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  for ( Index index = 0; index < size1(); index++)</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  {</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  Scalar val = v1.myContainer( index );</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  m1 = std::min( m1, val );</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  m2 = std::max( m2, val );</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  ma += val;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  if ( verbose > 0 ) </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  trace.info() << "1-form v: min=" << m1 << " avg=" << ( ma / size1() )</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  << " max=" << m2 << std::endl;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  // for ( Index index = 0; index < size1(); index++)</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  // v1.myContainer( index ) = std::min( std::max(v1.myContainer( index ), 0.0) , 1.0 );</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  if ( verbose > 0 ) trace.endBlock();</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  return std::max( std::fabs( m1 ), std::fabs( m2 - 1.0 ) );</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> // Interface - public :</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> /**</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  * Writes/Displays the object on an output stream.</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  * @param out the output stream where the object is written.</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  */</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> inline</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> void</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::selfDisplay ( std::ostream & out ) const</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> {</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  out << "[ ATu0v1 #g=" << g0.size() << " dec=" << calculus << " ]";</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> }</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> /**</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  * Checks the validity/consistency of the object.</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  * @return 'true' if the object is valid, 'false' otherwise.</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  */</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> inline</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> bool</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> DGtal::ATu0v1<TKSpace, TLinearAlgebra>::isValid() const</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> {</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  return true;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> }</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> ///////////////////////////////////////////////////////////////////////////////</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> // Implementation of inline functions //</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> template <typename TKSpace, typename TLinearAlgebra></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> inline</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> std::ostream&</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> DGtal::operator<< ( std::ostream & out,</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  const ATu0v1<TKSpace, TLinearAlgebra> & object )</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> {</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  object.selfDisplay( out );</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  return out;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> }</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  </div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> // //</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> ///////////////////////////////////////////////////////////////////////////////</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>  </div>
</div><!-- fragment --></div><!-- contents -->
<!-- HTML footer for doxygen 1.8.11-->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Companion project associated to <a href= "http://liris.cnrs.fr/dgtal/doc/nightly/"> DGtal </a>;
Generated on Mon Dec 23 2024 09:51:48 for DGtalTools by  <a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.9.1
</small></address>
</body>
</html>