DGtal 1.3.0
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shortcuts-geometry.cpp File Reference
DGtal Examples
#include <iostream>
#include "ConfigExamples.h"
#include "DGtal/helpers/StdDefs.h"
#include "DGtal/helpers/Shortcuts.h"
#include "DGtal/helpers/ShortcutsGeometry.h"
#include "DGtal/base/Common.h"

Go to the source code of this file.

Functions

int main (int, char **)
 

Detailed Description

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Author
Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-sav.nosp@m.oie..nosp@m.fr ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France
Date
2018/06/26

An example file named shortcuts.

This file is part of the DGtal library.

Definition in file shortcuts-geometry.cpp.

Function Documentation

◆ main()

int main ( int  ,
char **   
)

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Definition at line 44 of file shortcuts-geometry.cpp.

45{
46 unsigned int nb = 0, nbok = 0;
47 // 3d tests
48 typedef Shortcuts< Z3i::KSpace > SH3;
49 typedef ShortcutsGeometry< Z3i::KSpace > SHG3;
50
51 trace.beginBlock ( "Load vol file -> build digital surface -> estimate mean curvature -> save OBJ." );
52 {
54 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
55 params( "colormap", "Tics" );
56 auto bimage = SH3::makeBinaryImage( examplesPath + "samples/Al.100.vol", params );
57 auto K = SH3::getKSpace( bimage, params );
58 auto surface = SH3::makeDigitalSurface( bimage, K, params );
59 auto surfels = SH3::getSurfelRange( surface, params );
60 auto curv = SHG3::getIIMeanCurvatures( bimage, surfels, params );
61 // To get Gauss curvatures, write instead:
62 // auto curv = SHG3::getIIGaussianCurvatures( bimage, surfels, params );
63 auto cmap = SH3::getColorMap( -0.5, 0.5, params );
64 auto colors = SH3::Colors( surfels.size() );
65 std::transform( curv.cbegin(), curv.cend(), colors.begin(), cmap );
66 bool ok = SH3::saveOBJ( surface, SH3::RealVectors(), colors,
67 "al-H-II.obj" );
69 ++nb; nbok += ok ? 1 : 0;
70 }
71 trace.endBlock();
72
73 trace.beginBlock ( "Load vol file -> build digital surface -> estimate Gauss curvature -> save OBJ." );
74 {
75 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
76 params( "colormap", "Tics" );
77 auto bimage = SH3::makeBinaryImage( examplesPath + "samples/Al.100.vol", params );
78 auto K = SH3::getKSpace( bimage, params );
79 auto surface = SH3::makeDigitalSurface( bimage, K, params );
80 auto surfels = SH3::getSurfelRange( surface, params );
81 auto curv = SHG3::getIIGaussianCurvatures( bimage, surfels, params );
82 auto cmap = SH3::getColorMap( -0.25, 0.25, params );
83 auto colors = SH3::Colors( surfels.size() );
84 std::transform( curv.cbegin(), curv.cend(), colors.begin(), cmap );
85 bool ok = SH3::saveOBJ( surface, SH3::RealVectors(), colors,
86 "al-G-II.obj" );
87 ++nb; nbok += ok ? 1 : 0;
88 }
89 trace.endBlock();
90
91 trace.beginBlock ( "Build polynomial shape -> digitize -> extract ground-truth geometry." );
92 {
93 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
95 params( "polynomial", "3*x^2+2*y^2+z^2-90" )( "gridstep", 0.25 );
96 auto implicit_shape = SH3::makeImplicitShape3D ( params );
97 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
98 auto binary_image = SH3::makeBinaryImage ( digitized_shape, params );
99 auto K = SH3::getKSpace( params );
100 auto surface = SH3::makeLightDigitalSurface( binary_image, K, params );
101 auto surfels = SH3::getSurfelRange( surface, params );
102 auto positions = SHG3::getPositions( implicit_shape, K, surfels, params );
103 auto normals = SHG3::getNormalVectors( implicit_shape, K, surfels, params );
104 auto mean_curvs = SHG3::getMeanCurvatures( implicit_shape, K, surfels, params );
105 auto gauss_curvs = SHG3::getGaussianCurvatures( implicit_shape, K, surfels, params );
107 auto stat_mean = SHG3::getStatistic( mean_curvs );
108 auto stat_gauss = SHG3::getStatistic( gauss_curvs );
109 trace.info() << " min(H)=" << stat_mean.min()
110 << " avg(H)=" << stat_mean.mean()
111 << " max(H)=" << stat_mean.max() << std::endl;
112 trace.info() << " min(G)=" << stat_gauss.min()
113 << " avg(G)=" << stat_gauss.mean()
114 << " max(G)=" << stat_gauss.max() << std::endl;
115 ++nb; nbok += positions.size() == surfels.size() ? 1 : 0;
116 ++nb; nbok += normals.size() == surfels.size() ? 1 : 0;
117 ++nb; nbok += mean_curvs.size() == surfels.size() ? 1 : 0;
118 ++nb; nbok += gauss_curvs.size() == surfels.size() ? 1 : 0;
119 ++nb; nbok += stat_mean.min() > 0.08 ? 1 : 0;
120 ++nb; nbok += stat_gauss.min() > 0.0064 ? 1 : 0;
121 }
122 trace.endBlock();
123
124 trace.beginBlock ( "Build polynomial shape -> digitize -> get pointels -> save projected quadrangulated surface." );
125 {
126 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
128 const double h = 0.25;
129 params( "polynomial", "goursat" )( "gridstep", h );
130 auto implicit_shape = SH3::makeImplicitShape3D ( params );
131 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
132 auto binary_image = SH3::makeBinaryImage ( digitized_shape, params );
133 auto K = SH3::getKSpace( params );
134 auto embedder = SH3::getCellEmbedder( K );
135 auto surface = SH3::makeLightDigitalSurface( binary_image, K, params );
136 SH3::Cell2Index c2i;
137 auto pointels = SH3::getPointelRange( c2i, surface );
138 SH3::RealPoints pos( pointels.size() );
139 std::transform( pointels.cbegin(), pointels.cend(), pos.begin(),
140 [&] (const SH3::Cell& c) { return h * embedder( c ); } );
141 auto ppos = SHG3::getPositions( implicit_shape, pos, params );
142 bool ok = SH3::saveOBJ( surface,
143 [&] (const SH3::Cell& c){ return ppos[ c2i[ c ] ];},
144 SH3::RealVectors(), SH3::Colors(),
145 "goursat-quad-proj.obj" );
147 ++nb; nbok += ok ? 1 : 0;
148 }
149 trace.endBlock();
150
151 trace.beginBlock ( "Build polynomial shape -> digitize -> extract mean curvature -> save as OBJ with colors." );
152 {
153 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
155 params( "polynomial", "goursat" )( "gridstep", 0.25 )( "colormap", "Tics" );
156 auto implicit_shape = SH3::makeImplicitShape3D ( params );
157 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
158 auto binary_image = SH3::makeBinaryImage ( digitized_shape, params );
159 auto K = SH3::getKSpace( params );
160 auto surface = SH3::makeLightDigitalSurface( binary_image, K, params );
161 auto surfels = SH3::getSurfelRange( surface, params );
162 auto mean_curv = SHG3::getMeanCurvatures( implicit_shape, K, surfels, params );
163 auto cmap = SH3::getColorMap( -0.3, 0.3, params );
164 auto colors = SH3::Colors( surfels.size() );
165 std::transform( mean_curv.cbegin(), mean_curv.cend(), colors.begin(), cmap );
166 bool ok = SH3::saveOBJ( surface, SH3::RealVectors(), colors,
167 "goursat-H.obj" );
169 ++nb; nbok += ok ? 1 : 0;
170 }
171 trace.endBlock();
172
173 trace.beginBlock ( "Build polynomial shape -> digitize -> extract ground-truth and estimated mean curvature -> display errors in OBJ with colors." );
174 {
175 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
177 params( "polynomial", "goursat" )( "gridstep", 0.25 )( "colormap", "Tics" )
178 ( "R-radius", 5.0 );
179 auto implicit_shape = SH3::makeImplicitShape3D ( params );
180 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
181 auto bimage = SH3::makeBinaryImage ( digitized_shape, params );
182 auto K = SH3::getKSpace( params );
183 auto surface = SH3::makeLightDigitalSurface( bimage, K, params );
184 auto surfels = SH3::getSurfelRange( surface, params );
185 auto t_curv = SHG3::getMeanCurvatures( implicit_shape, K, surfels, params );
186 auto ii_curv = SHG3::getIIMeanCurvatures( bimage, surfels, params );
187 auto cmap = SH3::getColorMap( -0.5, 0.5, params );
188 auto colors = SH3::Colors( surfels.size() );
189 std::transform( t_curv.cbegin(), t_curv.cend(), colors.begin(), cmap );
190 bool ok_t = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-H.obj" );
191 std::transform( ii_curv.cbegin(), ii_curv.cend(), colors.begin(), cmap );
192 bool ok_ii = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-H-ii.obj" );
193 auto errors = SHG3::getScalarsAbsoluteDifference( t_curv, ii_curv );
194 auto stat_errors = SHG3::getStatistic( errors );
195 auto cmap_errors = SH3::getColorMap( 0.0, stat_errors.max(), params );
196 std::transform( errors.cbegin(), errors.cend(), colors.begin(), cmap_errors );
197 bool ok_err = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-H-ii-err.obj" );
198 trace.info() << "Error Loo=" << SHG3::getScalarsNormLoo( t_curv, ii_curv )
199 << " L1=" << SHG3::getScalarsNormL1 ( t_curv, ii_curv )
200 << " L2=" << SHG3::getScalarsNormL2 ( t_curv, ii_curv )
201 << std::endl;
203 ++nb; nbok += ( ok_t && ok_ii && ok_err ) ? 1 : 0;
204 }
205 trace.endBlock();
206
207 trace.beginBlock ( "Build polynomial shape -> digitize -> build digital surface -> save primal surface with VCM normals as obj." );
208 {
209 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
211 params( "polynomial", "goursat" )( "gridstep", 0.25 )
212 ( "surfaceTraversal", "Default" );
213 auto implicit_shape = SH3::makeImplicitShape3D ( params );
214 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
215 auto K = SH3::getKSpace( params );
216 auto binary_image = SH3::makeBinaryImage( digitized_shape, params );
217 auto surface = SH3::makeDigitalSurface( binary_image, K, params );
218 auto surfels = SH3::getSurfelRange( surface, params );
219 auto vcm_normals = SHG3::getVCMNormalVectors( surface, surfels, params );
220 bool ok = SH3::saveOBJ( surface, vcm_normals, SH3::Colors(),
221 "goursat-primal-vcm.obj" );
223 ++nb; nbok += ok ? 1 : 0;
224 }
225 trace.endBlock();
226
227 trace.beginBlock ( "Build polynomial shape -> digitize implicitly -> estimate II normals and curvature." );
228 {
229 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
231 params( "polynomial", "goursat" )( "gridstep", .25 );
232 auto implicit_shape = SH3::makeImplicitShape3D ( params );
233 auto dig_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
234 auto K = SH3::getKSpace ( params );
235 auto surface = SH3::makeDigitalSurface ( dig_shape, K, params );
236 auto surfels = SH3::getSurfelRange ( surface, params( "surfaceTraversal", "DepthFirst" ) );
237 auto def_surfels = SH3::getSurfelRange ( surface, params( "surfaceTraversal", "Default" ) );
238 auto ii_normals = SHG3::getIINormalVectors ( dig_shape, surfels, params );
239 trace.beginBlock( "II with default traversal (slower)" );
240 auto ii_mean_curv = SHG3::getIIMeanCurvatures ( dig_shape, def_surfels, params );
241 trace.endBlock();
242 trace.beginBlock( "II with depth-first traversal (faster)" );
243 auto ii_mean_curv2 = SHG3::getIIMeanCurvatures ( dig_shape, surfels, params );
244 trace.endBlock();
245 auto cmap = SH3::getColorMap ( -0.5, 0.5, params );
246 auto colors = SH3::Colors ( def_surfels.size() );
247 auto match = SH3::getRangeMatch ( def_surfels, surfels );
248 auto normals = SH3::getMatchedRange ( ii_normals, match );
249 for ( SH3::Idx i = 0; i < colors.size(); i++ )
250 colors[ i ] = cmap( ii_mean_curv[ match[ i ] ] );
251 bool ok_H = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-imp-H-ii.obj" );
253 ++nb; nbok += ( ok_H && ii_mean_curv.size() == ii_mean_curv2.size() ) ? 1 : 0;
254 }
255 trace.endBlock();
256
257 trace.beginBlock ( "Build polynomial shape -> save several projected quadrangulated surface and digitized boundaries." );
258 {
259 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
260 std::vector<double> gridsteps {0.5, 0.25, 0.125};
261 for ( auto h : gridsteps ) {
262 params( "polynomial", "goursat" )( "gridstep", h );
263 auto implicit_shape = SH3::makeImplicitShape3D ( params );
264 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
265 auto binary_image = SH3::makeBinaryImage ( digitized_shape, params );
266 auto K = SH3::getKSpace( params );
267 auto embedder = SH3::getCellEmbedder( K );
268 auto surface = SH3::makeLightDigitalSurface( binary_image, K, params );
269 SH3::Cell2Index c2i;
270 auto pointels = SH3::getPointelRange( c2i, surface );
271 SH3::RealPoints pos( pointels.size() );
272 std::transform( pointels.cbegin(), pointels.cend(), pos.begin(),
273 [&] (const SH3::Cell& c) { return h * embedder( c ); } );
274 auto ppos = SHG3::getPositions( implicit_shape, pos, params );
275 auto fname = std::string( "goursat-quad-" ) + std::to_string( h ) + std::string( ".obj" );
276 bool ok = SH3::saveOBJ( surface,
277 [&] (const SH3::Cell& c){ return pos[ c2i[ c ] ];},
278 SH3::RealVectors(), SH3::Colors(),
279 fname );
280 auto proj_fname = std::string( "goursat-quad-proj-" ) + std::to_string( h ) + std::string( ".obj" );
281 bool proj_ok = SH3::saveOBJ( surface,
282 [&] (const SH3::Cell& c){ return ppos[ c2i[ c ] ];},
283 SH3::RealVectors(), SH3::Colors(),
284 proj_fname );
285 ++nb; nbok += ok ? 1 : 0;
286 ++nb; nbok += proj_ok ? 1 : 0;
287 }
288 }
289 trace.endBlock();
290
291 trace.beginBlock ( "Build polynomial shape -> digitize -> digital surface -> save primal surface and VCM normal field as obj." );
292 {
293 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
295 params( "polynomial", "goursat" )( "gridstep", 0.5 )
296 ( "surfaceTraversal", "Default" );
297 auto implicit_shape = SH3::makeImplicitShape3D ( params );
298 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
299 auto K = SH3::getKSpace( params );
300 auto binary_image = SH3::makeBinaryImage( digitized_shape, params );
301 auto surface = SH3::makeDigitalSurface( binary_image, K, params );
302 auto surfels = SH3::getSurfelRange( surface, params );
303 auto vcm_normals = SHG3::getVCMNormalVectors( surface, surfels, params );
304 auto embedder = SH3::getSCellEmbedder( K );
305 SH3::RealPoints positions( surfels.size() );
306 std::transform( surfels.cbegin(), surfels.cend(), positions.begin(),
307 [&] (const SH3::SCell& c) { return embedder( c ); } );
308 bool ok = SH3::saveOBJ( surface, vcm_normals, SH3::Colors(),
309 "goursat-primal-vcm.obj" );
310 bool ok2 = SH3::saveVectorFieldOBJ( positions, vcm_normals, 0.05, SH3::Colors(),
311 "goursat-primal-vcm-normals.obj",
312 SH3::Color( 0, 0, 0 ), SH3::Color::Red );
314 ++nb, nbok += ok ? 1 : 0;
315 ++nb, nbok += ok2 ? 1 : 0;
316 }
317 trace.endBlock();
318
319 trace.beginBlock ( "Build polynomial shape -> digitize -> extract ground-truth curvatures -> display in OBJ." );
320 {
321 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
323 params( "polynomial", "goursat" )( "gridstep", 0.25 )( "colormap", "Tics" );
324 auto implicit_shape = SH3::makeImplicitShape3D ( params );
325 auto digitized_shape = SH3::makeDigitizedImplicitShape3D( implicit_shape, params );
326 auto bimage = SH3::makeBinaryImage ( digitized_shape, params );
327 auto K = SH3::getKSpace( params );
328 auto surface = SH3::makeLightDigitalSurface( bimage, K, params );
329 auto surfels = SH3::getSurfelRange( surface, params );
330 auto k1 = SHG3::getFirstPrincipalCurvatures( implicit_shape, K, surfels, params );
331 auto k2 = SHG3::getSecondPrincipalCurvatures( implicit_shape, K, surfels, params );
332 auto d1 = SHG3::getFirstPrincipalDirections( implicit_shape, K, surfels, params );
333 auto d2 = SHG3::getSecondPrincipalDirections( implicit_shape, K, surfels, params );
334 auto embedder = SH3::getSCellEmbedder( K );
335 SH3::RealPoints positions( surfels.size() );
336 std::transform( surfels.cbegin(), surfels.cend(), positions.begin(),
337 [&] (const SH3::SCell& c) { return embedder( c ); } );
338 bool ok = SH3::saveOBJ( surface, SH3::RealVectors(), SH3::Colors(),
339 "goursat-primal.obj" );
340 // output principal curvatures and directions
341 auto cmap = SH3::getColorMap( -0.5, 0.5, params );
342 auto colors= SH3::Colors( surfels.size() );
343 std::transform( k1.cbegin(), k1.cend(), colors.begin(), cmap );
344 bool ok_k1 = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-primal-k1.obj" );
345 bool ok_d1 = SH3::saveVectorFieldOBJ( positions, d1, 0.05, colors,
346 "goursat-primal-d1.obj", SH3::Color::Black );
347 std::transform( k2.cbegin(), k2.cend(), colors.begin(), cmap );
348 bool ok_k2 = SH3::saveOBJ( surface, SH3::RealVectors(), colors, "goursat-primal-k2.obj" );
349 bool ok_d2 = SH3::saveVectorFieldOBJ( positions, d2, 0.05, colors,
350 "goursat-primal-d2.obj", SH3::Color::Black );
352 }
353 trace.endBlock();
354
355
356#if defined(WITH_EIGEN)
357
358 trace.beginBlock ( "Load vol file -> build main digital surface -> II normals -> AT regularization -> save OBJ with colored normals." );
359 {
360 auto params = SH3::defaultParameters() | SHG3::defaultParameters();
362 auto al_capone = SH3::makeBinaryImage( examplesPath + "samples/Al.100.vol", params );
363 auto K = SH3::getKSpace( al_capone );
364 auto surface = SH3::makeLightDigitalSurface( al_capone, K, params );
365 auto surfels = SH3::getSurfelRange( surface, params );
366 auto ii_normals = SHG3::getIINormalVectors( al_capone, surfels, params );
367 auto linels = SH3::getCellRange( surface, 1 );
368 auto uembedder = SH3::getCellEmbedder( K );
369 SH3::Scalars features( linels.size() );
370 auto at_normals = SHG3::getATVectorFieldApproximation( features, linels.cbegin(), linels.cend(),
371 surface, surfels,
372 ii_normals, params );
373 // Output normals as colors depending on directions
374 SH3::Colors colors( surfels.size() );
375 for ( size_t i = 0; i < surfels.size(); i++ )
376 colors[ i ] = SH3::Color( (unsigned char) 255.0*fabs( at_normals[ i ][ 0 ] ),
377 (unsigned char) 255.0*fabs( at_normals[ i ][ 1 ] ),
378 (unsigned char) 255.0*fabs( at_normals[ i ][ 2 ] ) );
379 bool ok1 = SH3::saveOBJ( surface, SH3::RealVectors(), SH3::Colors(), "al-surface.obj" );
380 bool ok2 = SH3::saveOBJ( surface, at_normals, colors, "al-colored-at-normals.obj" );
381 // Output discontinuities as sticks on linels.
382 SH3::RealPoints f0;
383 SH3::RealVectors f1;
384 for ( size_t i = 0; i < linels.size(); i++ )
385 {
386 if ( features[ i ] < 0.5 )
387 {
388 const SH3::Cell linel = linels[ i ];
389 const Dimension d = * K.uDirs( linel );
390 const SH3::Cell p0 = K.uIncident( linel, d, false );
391 const SH3::Cell p1 = K.uIncident( linel, d, true );
392 f0.push_back( uembedder( p0 ) );
393 f1.push_back( uembedder( p1 ) - uembedder( p0 ) );
394 }
395 }
396 bool ok3 = SH3::saveVectorFieldOBJ( f0, f1, 0.1, SH3::Colors(),
397 "al-features.obj",
398 SH3::Color( 0, 0, 0 ), SH3::Color::Red );
400 ++nb; nbok += ok1 ? 1 : 0;
401 ++nb; nbok += ok2 ? 1 : 0;
402 ++nb; nbok += ok3 ? 1 : 0;
403 }
404 trace.endBlock();
405
406#endif // defined(WITH_EIGEN)
407
408 trace.info() << nbok << "/" << nb << " passed tests." << std::endl;
409 return 0;
410}
DGtal::Color
Structure representing an RGB triple with alpha component.
Definition: Color.h:68
DGtal::KhalimskySpaceND::uIncident
Cell uIncident(const Cell &c, Dimension k, bool up) const
Return the forward or backward unsigned cell incident to [c] along axis [k], depending on [up].
DGtal::KhalimskySpaceND::uDirs
DirIterator uDirs(const Cell &p) const
Given an unsigned cell [p], returns an iterator to iterate over each coordinate the cell spans.
DGtal::ShortcutsGeometry
Aim: This class is used to simplify shape and surface creation. With it, you can create new shapes an...
Definition: ShortcutsGeometry.h:77
DGtal::ShortcutsGeometry::getIIGaussianCurvatures
static Scalars getIIGaussianCurvatures(CountedPtr< BinaryImage > bimage, const SurfelRange &surfels, const Parameters &params=parametersGeometryEstimation()|parametersKSpace())
Definition: ShortcutsGeometry.h:1105
DGtal::ShortcutsGeometry::getScalarsNormL1
static Scalar getScalarsNormL1(const Scalars &v1, const Scalars &v2)
Definition: ShortcutsGeometry.h:1724
DGtal::ShortcutsGeometry::getMeanCurvatures
static Scalars getMeanCurvatures(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:358
DGtal::ShortcutsGeometry::getPositions
static RealPoints getPositions(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:251
DGtal::ShortcutsGeometry::getIINormalVectors
static RealVectors getIINormalVectors(CountedPtr< BinaryImage > bimage, const SurfelRange &surfels, const Parameters &params=parametersGeometryEstimation()|parametersKSpace())
Definition: ShortcutsGeometry.h:848
DGtal::ShortcutsGeometry::getScalarsAbsoluteDifference
static Scalars getScalarsAbsoluteDifference(const Scalars &v1, const Scalars &v2)
Definition: ShortcutsGeometry.h:1691
DGtal::ShortcutsGeometry::getNormalVectors
static RealVectors getNormalVectors(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:319
DGtal::ShortcutsGeometry::getFirstPrincipalDirections
static RealVectors getFirstPrincipalDirections(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:523
DGtal::ShortcutsGeometry::getSecondPrincipalDirections
static RealVectors getSecondPrincipalDirections(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:565
DGtal::ShortcutsGeometry::getIIMeanCurvatures
static Scalars getIIMeanCurvatures(CountedPtr< BinaryImage > bimage, const SurfelRange &surfels, const Parameters &params=parametersGeometryEstimation()|parametersKSpace())
Definition: ShortcutsGeometry.h:981
DGtal::ShortcutsGeometry::defaultParameters
static Parameters defaultParameters()
Definition: ShortcutsGeometry.h:209
DGtal::ShortcutsGeometry::getGaussianCurvatures
static Scalars getGaussianCurvatures(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:398
DGtal::ShortcutsGeometry::getScalarsNormL2
static Scalar getScalarsNormL2(const Scalars &v1, const Scalars &v2)
Definition: ShortcutsGeometry.h:1708
DGtal::ShortcutsGeometry::getFirstPrincipalCurvatures
static Scalars getFirstPrincipalCurvatures(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:439
DGtal::ShortcutsGeometry::getScalarsNormLoo
static Scalar getScalarsNormLoo(const Scalars &v1, const Scalars &v2)
Definition: ShortcutsGeometry.h:1740
DGtal::ShortcutsGeometry::getStatistic
static ScalarStatistic getStatistic(const Scalars &v)
Definition: ShortcutsGeometry.h:1648
DGtal::ShortcutsGeometry::getATVectorFieldApproximation
static VectorFieldInput getATVectorFieldApproximation(CountedPtr< TAnyDigitalSurface > surface, const SurfelRange &surfels, const VectorFieldInput &input, const Parameters &params=parametersATApproximation()|parametersGeometryEstimation())
Definition: ShortcutsGeometry.h:1402
DGtal::ShortcutsGeometry::getSecondPrincipalCurvatures
static Scalars getSecondPrincipalCurvatures(CountedPtr< ImplicitShape3D > shape, const KSpace &K, const SurfelRange &surfels, const Parameters &params=parametersShapeGeometry())
Definition: ShortcutsGeometry.h:481
DGtal::ShortcutsGeometry::getVCMNormalVectors
static RealVectors getVCMNormalVectors(CountedPtr< TAnyDigitalSurface > surface, const SurfelRange &surfels, const Parameters &params=parametersGeometryEstimation())
Definition: ShortcutsGeometry.h:755
DGtal::Shortcuts
Aim: This class is used to simplify shape and surface creation. With it, you can create new shapes an...
Definition: Shortcuts.h:105
DGtal::Shortcuts::getKSpace
static KSpace getKSpace(const Point &low, const Point &up, Parameters params=parametersKSpace())
Definition: Shortcuts.h:332
DGtal::Shortcuts::makeDigitizedImplicitShape3D
static CountedPtr< DigitizedImplicitShape3D > makeDigitizedImplicitShape3D(CountedPtr< ImplicitShape3D > shape, Parameters params=parametersDigitizedImplicitShape3D())
Definition: Shortcuts.h:523
DGtal::Shortcuts::getCellRange
static CellRange getCellRange(Cell2Index &c2i, CountedPtr< ::DGtal::DigitalSurface< TDigitalSurfaceContainer > > surface, const Dimension k)
Definition: Shortcuts.h:1399
DGtal::Shortcuts::Cell2Index
std::map< Cell, IdxVertex > Cell2Index
Definition: Shortcuts.h:189
DGtal::Shortcuts::getPointelRange
static PointelRange getPointelRange(Cell2Index &c2i, CountedPtr< ::DGtal::DigitalSurface< TDigitalSurfaceContainer > > surface)
Definition: Shortcuts.h:1469
DGtal::Shortcuts::Colors
std::vector< Color > Colors
Definition: Shortcuts.h:192
DGtal::Shortcuts::getSurfelRange
static SurfelRange getSurfelRange(CountedPtr< ::DGtal::DigitalSurface< TDigitalSurfaceContainer > > surface, const Parameters &params=parametersDigitalSurface())
Definition: Shortcuts.h:1547
DGtal::Shortcuts::makeLightDigitalSurface
static CountedPtr< LightDigitalSurface > makeLightDigitalSurface(CountedPtr< BinaryImage > bimage, const KSpace &K, const Parameters &params=parametersDigitalSurface())
Definition: Shortcuts.h:1062
DGtal::Shortcuts::getSCellEmbedder
static CanonicSCellEmbedder< KSpace > getSCellEmbedder(const KSpace &K)
Definition: Shortcuts.h:446
DGtal::Shortcuts::makeDigitalSurface
static CountedPtr< DigitalSurface > makeDigitalSurface(CountedPtr< TPointPredicate > bimage, const KSpace &K, const Parameters &params=parametersDigitalSurface())
Definition: Shortcuts.h:1209
DGtal::Shortcuts::getRangeMatch
static IdxRange getRangeMatch(const std::vector< TValue > &s1, const std::vector< TValue > &s2, bool perfect=false)
Definition: Shortcuts.h:2618
DGtal::Shortcuts::RealPoints
std::vector< RealPoint > RealPoints
Definition: Shortcuts.h:180
DGtal::Shortcuts::RealVectors
std::vector< RealVector > RealVectors
Definition: Shortcuts.h:179
DGtal::Shortcuts::Scalars
std::vector< Scalar > Scalars
Definition: Shortcuts.h:178
DGtal::Shortcuts::saveVectorFieldOBJ
static bool saveVectorFieldOBJ(const RealPoints &positions, const RealVectors &vf, double thickness, const Colors &diffuse_colors, std::string objfile, const Color &ambient_color=Color(32, 32, 32), const Color &diffuse_color=Color(200, 200, 255), const Color &specular_color=Color::White)
Definition: Shortcuts.h:1939
DGtal::Shortcuts::Idx
IdxVertex Idx
Definition: Shortcuts.h:181
DGtal::Shortcuts::defaultParameters
static Parameters defaultParameters()
Definition: Shortcuts.h:203
DGtal::Shortcuts::getColorMap
static ColorMap getColorMap(Scalar min, Scalar max, const Parameters &params=parametersUtilities())
Definition: Shortcuts.h:2668
DGtal::Shortcuts::getMatchedRange
static std::vector< TValue > getMatchedRange(const std::vector< TValue > &range, const IdxRange &match)
Definition: Shortcuts.h:2653
DGtal::Shortcuts::SCell
LightDigitalSurface::SCell SCell
Definition: Shortcuts.h:163
DGtal::Shortcuts::saveOBJ
static bool saveOBJ(CountedPtr< ::DGtal::DigitalSurface< TDigitalSurfaceContainer > > digsurf, const TCellEmbedder &embedder, const RealVectors &normals, const Colors &diffuse_colors, std::string objfile, const Color &ambient_color=Color(32, 32, 32), const Color &diffuse_color=Color(200, 200, 255), const Color &specular_color=Color::White)
Definition: Shortcuts.h:1739
DGtal::Shortcuts::makeBinaryImage
static CountedPtr< BinaryImage > makeBinaryImage(Domain shapeDomain)
Definition: Shortcuts.h:561
DGtal::Shortcuts::getCellEmbedder
static CanonicCellEmbedder< KSpace > getCellEmbedder(const KSpace &K)
Definition: Shortcuts.h:438
DGtal::Shortcuts::makeImplicitShape3D
static CountedPtr< ImplicitShape3D > makeImplicitShape3D(const Parameters &params=parametersImplicitShape3D())
Definition: Shortcuts.h:282
DGtal::Shortcuts::Cell
LightDigitalSurface::Cell Cell
Definition: Shortcuts.h:162
DGtal::Trace::beginBlock
void beginBlock(const std::string &keyword="")
DGtal::Trace::info
std::ostream & info()
DGtal::Trace::endBlock
double endBlock()
DGtal::Dimension
DGtal::uint32_t Dimension
Definition: Common.h:137
DGtal::trace
Trace trace
Definition: Common.h:154
SH3
Shortcuts< KSpace > SH3
Definition: testArithmeticalDSSComputerOnSurfels.cpp:49
K
KSpace K
Definition: testCubicalComplex.cpp:62
SHG3
ShortcutsGeometry< Z3i::KSpace > SHG3
Definition: testIntegralInvariantShortcuts.cpp:47

References DGtal::Trace::beginBlock(), DGtal::Shortcuts< TKSpace >::defaultParameters(), DGtal::ShortcutsGeometry< TKSpace >::defaultParameters(), DGtal::Trace::endBlock(), DGtal::ShortcutsGeometry< TKSpace >::getATVectorFieldApproximation(), DGtal::Shortcuts< TKSpace >::getCellEmbedder(), DGtal::Shortcuts< TKSpace >::getCellRange(), DGtal::Shortcuts< TKSpace >::getColorMap(), DGtal::ShortcutsGeometry< TKSpace >::getFirstPrincipalCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getFirstPrincipalDirections(), DGtal::ShortcutsGeometry< TKSpace >::getGaussianCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getIIGaussianCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getIIMeanCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getIINormalVectors(), DGtal::Shortcuts< TKSpace >::getKSpace(), DGtal::Shortcuts< TKSpace >::getMatchedRange(), DGtal::ShortcutsGeometry< TKSpace >::getMeanCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getNormalVectors(), DGtal::Shortcuts< TKSpace >::getPointelRange(), DGtal::ShortcutsGeometry< TKSpace >::getPositions(), DGtal::Shortcuts< TKSpace >::getRangeMatch(), DGtal::ShortcutsGeometry< TKSpace >::getScalarsAbsoluteDifference(), DGtal::ShortcutsGeometry< TKSpace >::getScalarsNormL1(), DGtal::ShortcutsGeometry< TKSpace >::getScalarsNormL2(), DGtal::ShortcutsGeometry< TKSpace >::getScalarsNormLoo(), DGtal::Shortcuts< TKSpace >::getSCellEmbedder(), DGtal::ShortcutsGeometry< TKSpace >::getSecondPrincipalCurvatures(), DGtal::ShortcutsGeometry< TKSpace >::getSecondPrincipalDirections(), DGtal::ShortcutsGeometry< TKSpace >::getStatistic(), DGtal::Shortcuts< TKSpace >::getSurfelRange(), DGtal::ShortcutsGeometry< TKSpace >::getVCMNormalVectors(), DGtal::Trace::info(), K, DGtal::Shortcuts< TKSpace >::makeBinaryImage(), DGtal::Shortcuts< TKSpace >::makeDigitalSurface(), DGtal::Shortcuts< TKSpace >::makeDigitizedImplicitShape3D(), DGtal::Shortcuts< TKSpace >::makeImplicitShape3D(), DGtal::Shortcuts< TKSpace >::makeLightDigitalSurface(), DGtal::Shortcuts< TKSpace >::saveOBJ(), DGtal::Shortcuts< TKSpace >::saveVectorFieldOBJ(), DGtal::trace, DGtal::KhalimskySpaceND< dim, TInteger >::uDirs(), and DGtal::KhalimskySpaceND< dim, TInteger >::uIncident().

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