DGtalTools  1.3.beta
3dCurvatureViewerNoise.cpp
1 
29 #include <iostream>
31 #include "DGtal/base/Common.h"
32 #include <cstring>
33 
34 #include "CLI11.hpp"
35 
36 
37 // Shape constructors
38 #include "DGtal/io/readers/GenericReader.h"
39 #include "DGtal/images/ImageSelector.h"
40 #include "DGtal/images/imagesSetsUtils/SetFromImage.h"
41 #include "DGtal/images/IntervalForegroundPredicate.h"
42 #include "DGtal/topology/SurfelAdjacency.h"
43 #include "DGtal/topology/helpers/Surfaces.h"
44 #include "DGtal/topology/LightImplicitDigitalSurface.h"
45 #include <DGtal/topology/SetOfSurfels.h>
46 
47 #include "DGtal/images/ImageHelper.h"
48 #include "DGtal/topology/DigitalSurface.h"
49 #include "DGtal/graph/DepthFirstVisitor.h"
50 #include "DGtal/graph/GraphVisitorRange.h"
51 
52 // Noise
53 #include "DGtal/geometry/volumes/KanungoNoise.h"
54 
55 // Integral Invariant includes
56 #include "DGtal/geometry/surfaces/estimation/IIGeometricFunctors.h"
57 #include "DGtal/geometry/surfaces/estimation/IntegralInvariantVolumeEstimator.h"
58 #include "DGtal/geometry/surfaces/estimation/IntegralInvariantCovarianceEstimator.h"
59 
60 // Drawing
61 #include "DGtal/io/boards/Board3D.h"
62 #include "DGtal/io/colormaps/GradientColorMap.h"
63 
64 #ifdef WITH_VISU3D_QGLVIEWER
65 #include "DGtal/io/viewers/Viewer3D.h"
66 #endif
67 
68 using namespace DGtal;
69 using namespace functors;
70 
146 const Color AXIS_COLOR_RED( 200, 20, 20, 255 );
147 const Color AXIS_COLOR_GREEN( 20, 200, 20, 255 );
148 const Color AXIS_COLOR_BLUE( 20, 20, 200, 255 );
149 const double AXIS_LINESIZE = 0.05;
150 
152 
158 void missingParam( std::string param )
159 {
160  trace.error() << " Parameter: " << param << " is required.";
161  trace.info() << std::endl;
162 }
163 
164 
165 int main( int argc, char** argv )
166 {
167  // parse command line using CLI ----------------------------------------------
168  CLI::App app;
169  std::string inputFileName;
170  double re_convolution_kernel;
171  double noiseLevel {0.5};
172  unsigned int threshold {8};
173  int minImageThreshold {0};
174  int maxImageThreshold {255};
175  std::string mode {"mean"};
176  std::string export_obj_filename;
177  std::string export_dat_filename;
178  bool exportOnly {false};
179  std::vector< double> vectScale;
180  bool normalization {false};
181 
182 
183  app.description("Visualisation of 3d curvature from .vol file using curvature from Integral Invariant\nBasic usage:\n \t3dCurvatureViewerNoise file.vol --radius 5 --mode mean --noise 0.5 \n Below are the different available modes: \n\t - \"mean\" for the mean curvature \n \t - \"mean\" for the mean curvature\n\t - \"gaussian\" for the Gaussian curvature\n\t - \"k1\" for the first principal curvature\n\t - \"k2\" for the second principal curvature\n\t - \"prindir1\" for the first principal curvature direction\n\t - \"prindir2\" for the second principal curvature direction\n\t - \"normal\" for the normal vector");
184 
185 
186 
187  app.add_option("-i,--input,1", inputFileName, "vol file (.vol, .longvol .p3d, .pgm3d and if WITH_ITK is selected: dicom, dcm, mha, mhd). For longvol, dicom, dcm, mha or mhd formats, the input values are linearly scaled between 0 and 255." )
188  ->required()
189  ->check(CLI::ExistingFile);
190 
191  app.add_option("--radius,-r", re_convolution_kernel, "Kernel radius for IntegralInvariant" )
192  ->required();
193  app.add_option("--noise,-k", noiseLevel, "Level of Kanungo noise ]0;1[", true);
194  app.add_option("--threshold,-t", threshold, "Min size of SCell boundary of an object", true);
195  app.add_option("--minImageThreshold,-l",minImageThreshold, "set the minimal image threshold to define the image object (object defined by the voxel with intensity belonging to ]minImageThreshold, maxImageThreshold ] ).", true);
196  app.add_option("--maxImageThreshold,-u",maxImageThreshold, "set the maximal image threshold to define the image object (object defined by the voxel with intensity belonging to ]minImageThreshold, maxImageThreshold] ).", true);
197  app.add_option("--mode,-m", mode, "type of output : mean, gaussian, k1, k2, prindir1, prindir2 or normal(default mean)", true)
198  -> check(CLI::IsMember({"mean","gaussian", "k1", "k2", "prindir1","prindir2", "normal" }));
199  app.add_option("--exportOBJ,-o", export_obj_filename, "Export the scene to specified OBJ/MTL filename (extensions added).");
200  app.add_option("--exportDAT,-d",export_dat_filename, "Export resulting curvature (for mean, gaussian, k1 or k2 mode) in a simple data file each line representing a surfel." );
201  app.add_flag("--exportOnly", exportOnly, "Used to only export the result without the 3d Visualisation (usefull for scripts).");
202 
203  app.add_option("--imageScale,-s", vectScale, "scaleX, scaleY, scaleZ: re sample the source image according with a grid of size 1.0/scale (usefull to compute curvature on image defined on anisotropic grid). Set by default to 1.0 for the three axis.")
204  ->expected(3);
205 
206  app.add_option("--normalization,-n",normalization, "When exporting to OBJ, performs a normalization so that the geometry fits in [-1/2,1/2]^3") ;
207 
208  app.get_formatter()->column_width(40);
209  CLI11_PARSE(app, argc, argv);
210  // END parse command line using CLI ----------------------------------------------
211 
212  bool neededArgsGiven=true;
213 
214  if( noiseLevel < 0.0 || noiseLevel > 1.0 )
215  {
216  trace.error() << "The noise level should be in the interval: ]0, 1["<< std::endl;
217  exit(EXIT_FAILURE);
218  }
219 
220 #ifndef WITH_VISU3D_QGLVIEWER
221  bool enable_visu = false;
222 #else
223  bool enable_visu = !exportOnly;
224 #endif
225  bool enable_obj = export_obj_filename != "";
226  bool enable_dat = export_dat_filename != "";
227 
228  if( !enable_visu && !enable_obj && !enable_dat )
229  {
230 #ifndef WITH_VISU3D_QGLVIEWER
231  trace.error() << "You should specify what you want to export with --export and/or --exportDat." << std::endl;
232 #else
233  trace.error() << "You should specify what you want to export with --export and/or --exportDat, or remove --exportOnly." << std::endl;
234 #endif
235  neededArgsGiven = false;
236  }
237 
238  double h = 1.0;
239 
240  if( enable_obj )
241  {
242  if( export_obj_filename.find(".obj") == std::string::npos )
243  {
244  std::ostringstream oss;
245  oss << export_obj_filename << ".obj" << std::endl;
246  export_obj_filename = oss.str();
247  }
248  }
249 
250  std::vector< double > aGridSizeReSample;
251  if( vectScale.size() == 3)
252  {
253  aGridSizeReSample.push_back(1.0/vectScale.at(0));
254  aGridSizeReSample.push_back(1.0/vectScale.at(1));
255  aGridSizeReSample.push_back(1.0/vectScale.at(2));
256 
257  }
258  else
259  {
260  aGridSizeReSample.push_back(1.0);
261  aGridSizeReSample.push_back(1.0);
262  aGridSizeReSample.push_back(1.0);
263  }
264 
265 
266 
267  // Construction of the shape from vol file
269  typedef Z3i::Point Point;
272  DGtal::int32_t, double > ReSampler;
273  typedef DGtal::ConstImageAdapter<Image, Image::Domain, ReSampler,
274  Image::Value, DGtal::functors::Identity > SamplerImageAdapter;
276  typedef KanungoNoise< ImagePredicate, Z3i::Domain > KanungoPredicate;
277  typedef BinaryPointPredicate<DomainPredicate<Image::Domain>, KanungoPredicate, AndBoolFct2 > Predicate;
278  typedef Z3i::KSpace KSpace;
279  typedef KSpace::SCell SCell;
280  typedef KSpace::Cell Cell;
281 
282  trace.beginBlock("Loading the file");
283 
284  Image image = GenericReader<Image>::import( inputFileName );
285 
286  PointVector<3,int> shiftVector3D( 0 ,0, 0 );
288  DGtal::int32_t, double > reSampler(image.domain(),
289  aGridSizeReSample, shiftVector3D);
290  const functors::Identity identityFunctor{};
291  SamplerImageAdapter sampledImage ( image, reSampler.getSubSampledDomain(), reSampler, identityFunctor );
292  ImagePredicate predicateIMG = ImagePredicate( sampledImage, minImageThreshold, maxImageThreshold );
293  KanungoPredicate noisifiedPredicateIMG( predicateIMG, sampledImage.domain(), noiseLevel );
294  DomainPredicate<Z3i::Domain> domainPredicate( sampledImage.domain() );
295  AndBoolFct2 andF;
296  Predicate predicate(domainPredicate, noisifiedPredicateIMG, andF );
297 
298 
299  Z3i::Domain domain = sampledImage.domain();
300  Z3i::KSpace K;
301  bool space_ok = K.init( domain.lowerBound()-Z3i::Domain::Point::diagonal(),
302  domain.upperBound()+Z3i::Domain::Point::diagonal(), true );
303  if (!space_ok)
304  {
305  trace.error() << "Error in the Khalimsky space construction."<<std::endl;
306  return 2;
307  }
308  CanonicSCellEmbedder< KSpace > embedder( K );
310  trace.endBlock();
311  // Viewer settings
312 
313 
314  // Extraction of components
315  typedef KSpace::SurfelSet SurfelSet;
316  typedef SetOfSurfels< KSpace, SurfelSet > MySetOfSurfels;
317  typedef DigitalSurface< MySetOfSurfels > MyDigitalSurface;
318 
319 
320 
321  trace.beginBlock("Extracting surfaces");
322  std::vector< std::vector<SCell > > vectConnectedSCell;
323  Surfaces<KSpace>::extractAllConnectedSCell(vectConnectedSCell,K, Sadj, predicate, false);
324  std::ofstream outDat;
325  if( enable_dat )
326  {
327  trace.info() << "Exporting curvature as dat file: "<< export_dat_filename <<std::endl;
328  outDat.open( export_dat_filename.c_str() );
329  outDat << "# data exported from 3dCurvatureViewer implementing the II curvature estimator (Coeurjolly, D.; Lachaud, J.O; Levallois, J., (2013). Integral based Curvature"
330  << " Estimators in Digital Geometry. DGCI 2013.) " << std::endl;
331  outDat << "# format: surfel coordinates (in Khalimsky space) curvature: "<< mode << std::endl;
332  }
333 
334  trace.info()<<"Number of components= "<<vectConnectedSCell.size()<<std::endl;
335  trace.endBlock();
336 
337  if( vectConnectedSCell.size() == 0 )
338  {
339  trace.error()<< "No surface component exists. Please check the vol file threshold parameter.";
340  trace.info()<<std::endl;
341  exit(2);
342  }
343 
344 #ifdef WITH_VISU3D_QGLVIEWER
345  QApplication application( argc, argv );
347 #endif
348  typedef Board3D<Z3i::Space, Z3i::KSpace> Board;
349 
350 #ifdef WITH_VISU3D_QGLVIEWER
351  Viewer viewer( K );
352 #endif
353  Board board( K );
354 
355 #ifdef WITH_VISU3D_QGLVIEWER
356  if( enable_visu )
357  {
358  viewer.show();
359  }
360 #endif
361 
362  unsigned int i = 0;
363  unsigned int max_size = 0;
364  for( unsigned int ii = 0; ii<vectConnectedSCell.size(); ++ii )
365  {
366  if( vectConnectedSCell[ii].size() <= threshold )
367  {
368  continue;
369  }
370  if( vectConnectedSCell[ii].size() > max_size )
371  {
372  max_size = vectConnectedSCell[ii].size();
373  i = ii;
374  }
375  }
376 
377  MySetOfSurfels aSet(K, Sadj);
378 
379  for( std::vector<SCell>::const_iterator it = vectConnectedSCell.at(i).begin();
380  it != vectConnectedSCell.at(i).end();
381  ++it )
382  {
383  aSet.surfelSet().insert( *it);
384  }
385 
386  MyDigitalSurface digSurf( aSet );
387 
388 
389  typedef DepthFirstVisitor<MyDigitalSurface> Visitor;
390  typedef GraphVisitorRange< Visitor > VisitorRange;
391  typedef VisitorRange::ConstIterator SurfelConstIterator;
392  VisitorRange range( new Visitor( digSurf, *digSurf.begin() ) );
393  SurfelConstIterator abegin = range.begin();
394  SurfelConstIterator aend = range.end();
395 
396  VisitorRange range2( new Visitor( digSurf, *digSurf.begin() ) );
397  SurfelConstIterator abegin2 = range2.begin();
398 
399  trace.beginBlock("Curvature computation on a component");
400  if( ( mode.compare("gaussian") == 0 ) || ( mode.compare("mean") == 0 )
401  || ( mode.compare("k1") == 0 ) || ( mode.compare("k2") == 0 ))
402  {
403  typedef double Quantity;
404  std::vector< Quantity > results;
405  std::back_insert_iterator< std::vector< Quantity > > resultsIterator( results );
406  if ( mode.compare("mean") == 0 )
407  {
408  typedef functors::IIMeanCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
410 
411  MyIICurvatureFunctor functor;
412  functor.init( h, re_convolution_kernel );
413 
414  MyIIEstimator estimator( functor );
415  estimator.attach( K, predicate );
416  estimator.setParams( re_convolution_kernel/h );
417  estimator.init( h, abegin, aend );
418 
419  estimator.eval( abegin, aend, resultsIterator );
420  }
421  else if ( mode.compare("gaussian") == 0 )
422  {
423  typedef functors::IIGaussianCurvature3DFunctor<Z3i::Space> MyIICurvatureFunctor;
425 
426  MyIICurvatureFunctor functor;
427  functor.init( h, re_convolution_kernel );
428 
429  MyIIEstimator estimator( functor ); estimator.attach( K,
430  predicate ); estimator.setParams( re_convolution_kernel/h );
431  estimator.init( h, abegin, aend );
432 
433  estimator.eval( abegin, aend, resultsIterator );
434  }
435  else if ( mode.compare("k1") == 0 )
436  {
439 
440  MyIICurvatureFunctor functor;
441  functor.init( h, re_convolution_kernel );
442 
443  MyIIEstimator estimator( functor );
444  estimator.attach( K, predicate );
445  estimator.setParams( re_convolution_kernel/h );
446  estimator.init( h, abegin, aend );
447 
448  estimator.eval( abegin, aend, resultsIterator );
449  }
450  else if ( mode.compare("k2") == 0 )
451  {
454 
455  MyIICurvatureFunctor functor;
456  functor.init( h, re_convolution_kernel );
457 
458  MyIIEstimator estimator( functor );
459  estimator.attach( K, predicate );
460  estimator.setParams( re_convolution_kernel/h );
461  estimator.init( h, abegin, aend );
462 
463  estimator.eval( abegin, aend, resultsIterator );
464  }
465  trace.endBlock();
466 
467 
468  // Drawing results
469  trace.beginBlock("Visualisation");
470  Quantity min = results[ 0 ];
471  Quantity max = results[ 0 ];
472  for ( unsigned int i = 1; i < results.size(); ++i )
473  {
474  if ( results[ i ] < min )
475  {
476  min = results[ i ];
477  }
478  else if ( results[ i ] > max )
479  {
480  max = results[ i ];
481  }
482  }
483  trace.info() << "Max value= "<<max<<" min value= "<<min<<std::endl;
484  ASSERT( min <= max );
485  typedef GradientColorMap< Quantity > Gradient;
486  Gradient cmap_grad( min, (max==min)? max+1: max );
487  cmap_grad.addColor( Color( 50, 50, 255 ) );
488  cmap_grad.addColor( Color( 255, 0, 0 ) );
489  cmap_grad.addColor( Color( 255, 255, 10 ) );
490 
491 #ifdef WITH_VISU3D_QGLVIEWER
492  if( enable_visu )
493  {
494  viewer << SetMode3D((*abegin2).className(), "Basic" );
495  }
496 #endif
497  if( enable_obj )
498  {
499  board << SetMode3D((K.unsigns(*abegin2)).className(), "Basic" );
500  }
501 
502 
503  for ( unsigned int i = 0; i < results.size(); ++i )
504  {
505 #ifdef WITH_VISU3D_QGLVIEWER
506  if( enable_visu )
507  {
508  viewer << CustomColors3D( Color::Black, cmap_grad( results[ i ] ));
509  viewer << *abegin2;
510  }
511 #endif
512 
513  if( enable_obj )
514  {
515  board << CustomColors3D( Color::Black, cmap_grad( results[ i ] ));
516  board << K.unsigns(*abegin2);
517  }
518 
519  if( enable_dat )
520  {
521  Point kCoords = K.uKCoords(K.unsigns(*abegin2));
522  outDat << kCoords[0] << " " << kCoords[1] << " " << kCoords[2] << " " << results[i] << std::endl;
523  }
524 
525  ++abegin2;
526  }
527  }
528  else
529  {
530  typedef Z3i::Space::RealVector Quantity;
531  std::vector< Quantity > results;
532  std::back_insert_iterator< std::vector< Quantity > > resultsIterator( results );
533 
534  if( mode.compare("prindir1") == 0 )
535  {
536  typedef functors::IIFirstPrincipalDirectionFunctor<Z3i::Space> MyIICurvatureFunctor;
538 
539  MyIICurvatureFunctor functor;
540  functor.init( h, re_convolution_kernel );
541 
542  MyIIEstimator estimator( functor );
543  estimator.attach( K, predicate );
544  estimator.setParams( re_convolution_kernel/h );
545  estimator.init( h, abegin, aend );
546 
547  estimator.eval( abegin, aend, resultsIterator );
548  }
549  else if( mode.compare("prindir2") == 0 )
550  {
551  typedef functors::IISecondPrincipalDirectionFunctor<Z3i::Space> MyIICurvatureFunctor;
553 
554  MyIICurvatureFunctor functor;
555  functor.init( h, re_convolution_kernel );
556 
557  MyIIEstimator estimator( functor );
558  estimator.attach( K, predicate );
559  estimator.setParams( re_convolution_kernel/h );
560  estimator.init( h, abegin, aend );
561 
562  estimator.eval( abegin, aend, resultsIterator );
563  }else if( mode.compare("normal") == 0 )
564  {
565  typedef functors::IINormalDirectionFunctor<Z3i::Space> MyIICurvatureFunctor;
567 
568  MyIICurvatureFunctor functor;
569  functor.init( h, re_convolution_kernel );
570 
571  MyIIEstimator estimator( functor );
572  estimator.attach( K, predicate );
573  estimator.setParams( re_convolution_kernel/h );
574  estimator.init( h, abegin, aend );
575 
576  estimator.eval( abegin, aend, resultsIterator );
577  }
578 
579  //Visualization + export
580 
581 #ifdef WITH_VISU3D_QGLVIEWER
582  if( enable_visu )
583  {
584  viewer << SetMode3D(K.uCell( K.sKCoords(*abegin2) ).className(), "Basic" );
585  }
586 #endif
587 
588  if( enable_obj )
589  {
590  board << SetMode3D(K.uCell( K.sKCoords(*abegin2) ).className(), "Basic" );
591  }
592 
593  for ( unsigned int i = 0; i < results.size(); ++i )
594  {
595  DGtal::Dimension kDim = K.sOrthDir( *abegin2 );
596  SCell outer = K.sIndirectIncident( *abegin2, kDim);
597  if ( predicate(Z3i::Point(embedder(outer), functors::Round<>()) ))
598  {
599  outer = K.sDirectIncident( *abegin2, kDim);
600  }
601 
602  Cell unsignedSurfel = K.uCell( K.sKCoords(*abegin2) );
603 
604 #ifdef WITH_VISU3D_QGLVIEWER
605  if( enable_visu )
606  {
607  viewer << CustomColors3D( DGtal::Color(255,255,255,255),
608  DGtal::Color(255,255,255,255))
609  << unsignedSurfel;
610  }
611 #endif
612 
613  if( enable_obj )
614  {
615  board << CustomColors3D( DGtal::Color(255,255,255,255),
616  DGtal::Color(255,255,255,255))
617  << unsignedSurfel;
618  }
619 
620  if( enable_dat )
621  {
622  Point kCoords = K.uKCoords(K.unsigns(*abegin2));
623  outDat << kCoords[0] << " " << kCoords[1] << " " << kCoords[2] << " "
624  << results[i][0] << " " << results[i][1] << " " << results[i][2]
625  << std::endl;
626  }
627 
628  RealPoint center = embedder( outer );
629 
630 #ifdef WITH_VISU3D_QGLVIEWER
631  if( enable_visu )
632  {
633  if( mode.compare("prindir1") == 0 )
634  {
635  viewer.setLineColor( AXIS_COLOR_BLUE );
636  }
637  else if( mode.compare("prindir2") == 0 )
638  {
639  viewer.setLineColor( AXIS_COLOR_RED );
640  }
641  else if( mode.compare("normal") == 0 )
642  {
643  viewer.setLineColor( AXIS_COLOR_GREEN );
644  }
645 
646  viewer.addLine (
647  RealPoint(
648  center[0] - 0.5 * results[i][0],
649  center[1] - 0.5 * results[i][1],
650  center[2] - 0.5 * results[i][2]
651  ),
652  RealPoint(
653  center[0] + 0.5 * results[i][0],
654  center[1] + 0.5 * results[i][1],
655  center[2] + 0.5 * results[i][2]
656  ),
657  AXIS_LINESIZE );
658  }
659 #endif
660 
661  if( enable_obj )
662  {
663  if( mode.compare("prindir1") == 0 )
664  {
665  board.setFillColor( AXIS_COLOR_BLUE );
666  }
667  else if( mode.compare("prindir2") == 0 )
668  {
669  board.setFillColor( AXIS_COLOR_RED );
670  }
671  else if( mode.compare("normal") == 0 )
672  {
673  board.setFillColor( AXIS_COLOR_GREEN );
674  }
675 
676  board.addCylinder (
677  RealPoint(
678  center[0] - 0.5 * results[i][0],
679  center[1] - 0.5 * results[i][1],
680  center[2] - 0.5 * results[i][2]),
681  RealPoint(
682  center[0] + 0.5 * results[i][0],
683  center[1] + 0.5 * results[i][1],
684  center[2] + 0.5 * results[i][2]),
685  0.2 );
686  }
687 
688  ++abegin2;
689  }
690  }
691  trace.endBlock();
692 
693 #ifdef WITH_VISU3D_QGLVIEWER
694  if( enable_visu )
695  {
696  viewer << Viewer3D<>::updateDisplay;
697  }
698 #endif
699  if( enable_obj )
700  {
701  trace.info()<< "Exporting object: " << export_obj_filename << " ...";
702  board.saveOBJ(export_obj_filename,normalization);
703  trace.info() << "[done]" << std::endl;
704  }
705  if( enable_dat )
706  {
707  outDat.close();
708  }
709 
710 #ifdef WITH_VISU3D_QGLVIEWER
711  if( enable_visu )
712  {
713  return application.exec();
714  }
715 #endif
716 
717  return 0;
718 }
719 
void beginBlock(const std::string &keyword="")
static const Color Black
const Point & sKCoords(const SCell &c) const
std::set< SCell > SurfelSet
DGtal::uint32_t Dimension
double endBlock()
SCell sDirectIncident(const SCell &p, Dimension k) const
int main(int argc, char **argv)
static TContainer import(const std::string &filename, std::vector< unsigned int > dimSpace=std::vector< unsigned int >())
Cell uCell(const PreCell &c) const
void init(const double _h, SurfelConstIterator itb, SurfelConstIterator ite)
const Point & uKCoords(const Cell &c) const
Dimension sOrthDir(const SCell &s) const
bool init(const Point &lower, const Point &upper, bool isClosed)
static void extractAllConnectedSCell(std::vector< std::vector< SCell > > &aVectConnectedSCell, const KSpace &aKSpace, const SurfelAdjacency< KSpace::dimension > &aSurfelAdj, const PointPredicate &pp, bool forceOrientCellExterior=false)
const Point & upperBound() const
Trace trace(traceWriterTerm)
std::ostream & info()
SCell sIndirectIncident(const SCell &p, Dimension k) const
typename Self::Point Point
void init(const double _h, SurfelConstIterator itb, SurfelConstIterator ite)
const Domain & domain() const
Cell unsigns(const SCell &p) const
TImageContainer::Value Value
boost::int32_t int32_t
const Point & lowerBound() const
std::ostream & error()
TImageContainer::Domain Domain