32#include "DGtal/base/Common.h"
33#include "DGtal/base/CConstSinglePassRange.h"
34#include "DGtal/topology/DigitalSurface.h"
35#include "DGtal/topology/DigitalSetBoundary.h"
36#include "DGtal/topology/ImplicitDigitalSurface.h"
37#include "DGtal/topology/LightImplicitDigitalSurface.h"
38#include "DGtal/topology/ExplicitDigitalSurface.h"
39#include "DGtal/topology/LightExplicitDigitalSurface.h"
40#include "DGtal/graph/BreadthFirstVisitor.h"
41#include "DGtal/topology/helpers/FrontierPredicate.h"
42#include "DGtal/topology/helpers/BoundaryPredicate.h"
43#include "DGtal/graph/CUndirectedSimpleLocalGraph.h"
44#include "DGtal/graph/CUndirectedSimpleGraph.h"
46#include "DGtal/shapes/Shapes.h"
63 unsigned int nbok = 0;
70 typedef Boundary::Tracker Tracker;
71 typedef Boundary::Surfel
Surfel;
81 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
82 <<
"K.init() is ok" << std::endl;
83 Boundary boundary(
K, dig_set );
84 unsigned int nbsurfels = 0;
85 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
90 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
91 ++nb; nbok += nbsurfels == ( 12 + 44 ) ? 1 : 0;
92 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
93 <<
"nbsurfels == (12 + 44 )" << std::endl;
94 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
97 Tracker* ptrTracker = boundary.newTracker( *it );
98 Surfel s = ptrTracker->current();
101 unsigned int m1 = ptrTracker->adjacent( s1, trackDir,
true );
102 unsigned int m2 = ptrTracker->adjacent( s2, trackDir,
false );
103 trace.
info() <<
"s = " << s << std::endl;
104 trace.
info() <<
"s1 = " << s1 <<
" m1 = " << m1 << std::endl;
105 trace.
info() <<
"s2 = " << s2 <<
" m2 = " << m2 << std::endl;
106 ++nb; nbok += boundary.isInside( s1 ) ? 1 : 0;
107 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
108 <<
"boundary.isInside( s1 )" << std::endl;
109 ++nb; nbok += boundary.isInside( s2 ) ? 1 : 0;
110 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
111 <<
"boundary.isInside( s2 )" << std::endl;
118template <
typename TPo
int3>
119struct ImplicitDigitalEllipse3 {
120 typedef TPoint3
Point;
122 ImplicitDigitalEllipse3(
double a,
double b,
double c )
123 : myA( a ), myB( b ), myC( c )
126 bool operator()(
const TPoint3 & p )
const
128 double x = ( (double) p[ 0 ] / myA );
129 double y = ( (double) p[ 1 ] / myB );
130 double z = ( (double) p[ 2 ] / myC );
131 return ( x*x + y*y + z*z ) <= 1.0;
133 double myA, myB, myC;
138 unsigned int nbok = 0;
143 typedef ImplicitDigitalEllipse3<Point> ImplicitDigitalEllipse;
146 typedef Boundary::Tracker Tracker;
147 typedef Boundary::Surfel
Surfel;
148 Point p1( -10, -10, -10 );
149 Point p2( 10, 10, 10 );
151 nbok +=
K.
init( p1, p2,
true ) ? 1 : 0;
153 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
154 <<
"K.init() is ok" << std::endl;
155 ImplicitDigitalEllipse ellipse( 6.0, 4.5, 3.4 );
157 Boundary boundary(
K, ellipse,
159 unsigned int nbsurfels = 0;
160 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
165 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
169 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
172 Tracker* ptrTracker = boundary.newTracker( *it );
173 Surfel s = ptrTracker->current();
176 unsigned int m1 = ptrTracker->adjacent( s1, trackDir,
true );
177 unsigned int m2 = ptrTracker->adjacent( s2, trackDir,
false );
178 trace.
info() <<
"s = " << s << std::endl;
179 trace.
info() <<
"s1 = " << s1 <<
" m1 = " << m1 << std::endl;
180 trace.
info() <<
"s2 = " << s2 <<
" m2 = " << m2 << std::endl;
181 ++nb; nbok += boundary.isInside( s1 ) ? 1 : 0;
182 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
183 <<
"boundary.isInside( s1 )" << std::endl;
184 ++nb; nbok += boundary.isInside( s2 ) ? 1 : 0;
185 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
186 <<
"boundary.isInside( s2 )" << std::endl;
199 typedef ImplicitDigitalEllipse3<Point> ImplicitDigitalEllipse;
202 typedef Boundary::Tracker Tracker;
203 typedef Boundary::Surfel
Surfel;
205 unsigned int nbok = 0;
208 Point p1( -10, -10, -10 );
209 Point p2( 10, 10, 10 );
211 nbok +=
K.
init( p1, p2,
true ) ? 1 : 0;
213 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
214 <<
"K.init() is ok" << std::endl;
215 ImplicitDigitalEllipse ellipse( 6.0, 4.5, 3.4 );
217 Boundary boundary(
K, ellipse,
219 unsigned int nbsurfels = 0;
220 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
225 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
226 trace.
beginBlock (
"Checks if adjacent surfels are part of the surface." );
228 for (
ConstIterator it = boundary.begin(), it_end = boundary.end();
231 Tracker* ptrTracker = boundary.newTracker( *it );
232 Surfel s = ptrTracker->current();
236 ptrTracker->adjacent( s1, trackDir,
true );
238 ptrTracker->adjacent( s2, trackDir,
false );
242 ++nb; nbok += boundary.isInside( s1 ) ? 1 : 0;
245 ++nb; nbok += boundary.isInside( s2 ) ? 1 : 0;
250 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") isInside tests." << std::endl;
256template <
typename Image3D>
258 typename Image3D::Point low,
259 typename Image3D::Point up,
260 typename Image3D::Value value )
262 typedef typename Image3D::Point
Point;
263 typedef typename Image3D::Integer
Integer;
264 for (
Integer z = low[ 2 ]; z <= up[ 2 ]; ++z )
265 for (
Integer y = low[ 1 ]; y <= up[ 1 ]; ++y )
266 for (
Integer x = low[ 0 ]; x <= up[ 0 ]; ++x )
267 img.setValue(
Point( x, y, z ), value );
280 typedef Frontier::SCell
SCell;
282 unsigned int nbok = 0;
285 Point p1( -5, -5, -5 );
288 nbok +=
K.
init( p1, p2,
true ) ? 1 : 0;
290 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
291 <<
"K.init() is ok" << std::endl;
300 SurfelPredicate surfPredicate(
K, image, 2, 0 );
301 Frontier frontier20(
K, surfPredicate,
304 unsigned int nbsurfels = 0;
305 for (
ConstIterator it = frontier20.begin(), it_end = frontier20.end();
310 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
311 ++nb; nbok += nbsurfels == 9 ? 1 : 0;
312 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
313 <<
"frontier20: nbsurfels == 9" << std::endl;
318 SurfelPredicate surfPredicate(
K, image, 1, 0 );
319 Frontier frontier10(
K, surfPredicate,
322 unsigned int nbsurfels = 0;
323 for (
ConstIterator it = frontier10.begin(), it_end = frontier10.end();
328 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
329 ++nb; nbok += nbsurfels == 140 ? 1 : 0;
330 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
331 <<
"frontier10: nbsurfels == 140" << std::endl;
336 SurfelPredicate surfPredicate(
K, image, 1, 2 );
337 Frontier frontier12(
K, surfPredicate,
340 unsigned int nbsurfels = 0;
341 for (
ConstIterator it = frontier12.begin(), it_end = frontier12.end();
346 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
347 ++nb; nbok += nbsurfels == 36 ? 1 : 0;
348 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
349 <<
"frontier12: nbsurfels == 36" << std::endl;
354 typedef Boundary::SurfelConstIterator EConstIterator;
360 SecondSurfelPredicate surfPredicate(
K, image, 1 );
361 Boundary boundary1x(
K, surfPredicate,
364 unsigned int nbsurfels = 0;
365 for ( EConstIterator it = boundary1x.begin(), it_end = boundary1x.end();
370 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
371 ++nb; nbok += nbsurfels == 176 ? 1 : 0;
372 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
373 <<
"boundary1x: nbsurfels == 176" << std::endl;
389 typedef Frontier::SCell
SCell;
391 unsigned int nbok = 0;
394 Point p1( -5, -5, -5 );
397 nbok +=
K.
init( p1, p2,
true ) ? 1 : 0;
399 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
400 <<
"K.init() is ok" << std::endl;
409 SurfelPredicate surfPredicate(
K, image, 2, 0 );
410 Frontier frontier20(
K, surfPredicate,
413 unsigned int nbsurfels = 0;
414 for (
ConstIterator it = frontier20.begin(), it_end = frontier20.end();
419 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
420 ++nb; nbok += nbsurfels == 9 ? 1 : 0;
421 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
422 <<
"frontier20: nbsurfels == 9" << std::endl;
427 SurfelPredicate surfPredicate(
K, image, 1, 0 );
428 Frontier frontier10(
K, surfPredicate,
431 unsigned int nbsurfels = 0;
432 for (
ConstIterator it = frontier10.begin(), it_end = frontier10.end();
437 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
438 ++nb; nbok += nbsurfels == 140 ? 1 : 0;
439 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
440 <<
"frontier10: nbsurfels == 140" << std::endl;
445 SurfelPredicate surfPredicate(
K, image, 1, 2 );
446 Frontier frontier12(
K, surfPredicate,
449 unsigned int nbsurfels = 0;
450 for (
ConstIterator it = frontier12.begin(), it_end = frontier12.end();
455 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
456 ++nb; nbok += nbsurfels == 36 ? 1 : 0;
457 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
458 <<
"frontier12: nbsurfels == 36" << std::endl;
463 typedef Boundary::SurfelConstIterator LEConstIterator;
469 SecondSurfelPredicate surfPredicate(
K, image, 1 );
470 Boundary boundary1x(
K, surfPredicate,
473 unsigned int nbsurfels = 0;
474 for ( LEConstIterator it = boundary1x.begin(), it_end = boundary1x.end();
479 trace.
info() << nbsurfels <<
" surfels found." << std::endl;
480 ++nb; nbok += nbsurfels == 176 ? 1 : 0;
481 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
482 <<
"boundary1x: nbsurfels == 176" << std::endl;
490template <
typename KSpace>
493 unsigned int nbok = 0;
495 std::string msg(
"Testing block ... DigitalSurface in K" );
506 Point p0 = Point::diagonal( 0 );
507 Point p1 = Point::diagonal( -6 );
508 Point p2 = Point::diagonal( 6 );
516 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
517 <<
"K.init() is ok" << std::endl;
525 BOOST_CONCEPT_ASSERT(( CConstSinglePassRange < MyDS> ));
526 BOOST_CONCEPT_ASSERT(( CUndirectedSimpleLocalGraph < MyDS> ));
527 BOOST_CONCEPT_ASSERT(( CUndirectedSimpleGraph < MyDS> ));
530 typedef typename MyDS::Surfel
Surfel;
531 DSContainer* ptrBdry =
new DSContainer(
K, dig_set );
532 MyDS digsurf( ptrBdry );
538 ++nb; nbok += digsurf.size() == nbsurfels ? 1 : 0;
539 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
540 <<
"digsurf.size() = " << digsurf.size()
541 <<
" == " << nbsurfels << std::endl;
542 for (
typename MyDS::ConstIterator it = digsurf.begin(),
543 it_end = digsurf.end();
548 ++nb; nbok += digsurf.degree( s ) == 2*(
K.
dimension-1) ? 1 : 0;
550 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
551 <<
"digsurf.degree( s ) == "
558 unsigned int nb_dist_1 = 0;
563 if ( node.second == 1 ) ++nb_dist_1;
566 trace.
info() <<
"last node v=" << node.first <<
" d=" << node.second << std::endl;
567 ++nb; nbok += nb_dist_1 == 2*(
K.
dimension-1) ? 1 : 0;
568 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
569 <<
"nb surfels at distance 1 == "
572 Size nbsurfelsComp1 =
576 ++nb; nbok += visitedVtx.size() == nbsurfelsComp1 ? 1 : 0;
577 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
578 <<
"nb visited = " << visitedVtx.size() <<
" == "
579 << nbsurfelsComp1 << std::endl;
598 typedef typename MyDS::Vertex
Vertex;
599 typedef typename MyDS::SCell
SCell;
601 unsigned int nbok = 0;
605 Point pt1 = Point::diagonal( -1 );
606 Point pt2 = Point::diagonal( 1 );
613 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
614 <<
"K.init() is ok" << std::endl;
615 DSContainer* ptrBdry =
new DSContainer(
K, dig_set );
616 MyDS digsurf( ptrBdry );
617 ++nb; nbok += digsurf.size() == 6 ? 1 : 0;
618 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
619 <<
"digsurf.size() = " << digsurf.size()
620 <<
" == " << 6 << std::endl;
623 std::map< std::pair< SCell, SCell >,
unsigned int > nb_arcs;
624 for (
Vertex v : digsurf )
626 auto faces = digsurf.facesAroundVertex( v,
true );
627 for (
unsigned int i = 0; i < faces.size(); ++i )
629 auto p = std::make_pair( digsurf.pivot( faces[ i ] ),
630 digsurf.pivot( faces[ (i+1)%4 ] ) );
631 trace.
info() <<
"Arc " << p.first <<
" --- " << p.second << std::endl;
632 if ( nb_arcs.find( p ) == nb_arcs.end() )
638 ++nb; nbok += nb_arcs.size() == 24 ? 1 : 0;
639 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
640 <<
"nb_arcs.size() = " << nb_arcs.size()
641 <<
" == " << 24 <<
" (cube has 24 arcs)" << std::endl;
642 for (
auto arc : nb_arcs )
644 SCell p1 = arc.first.first;
645 SCell p2 = arc.first.second;
648 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
649 <<
"arcs have all norm 1." << std::endl;
650 for (
auto arc : nb_arcs )
652 SCell p1 = arc.first.first;
653 SCell p2 = arc.first.second;
654 auto it = nb_arcs.find( std::make_pair( p2, p1 ) );
655 ++nb; nbok += arc.second == 1 ? 1 : 0;
656 ++nb; nbok += ( it != nb_arcs.end() ) && it->second == 1 ? 1 : 0;
658 trace.
info() <<
"(" << nbok <<
"/" << nb <<
") "
659 <<
"arcs are unique and their inverse are unique." << std::endl;
667int main(
int argc,
char** argv )
671 for (
int i = 0; i < argc; ++i )
680 && testDigitalSurface<KhalimskySpaceND<2> >()
682 && testDigitalSurface<KhalimskySpaceND<4> >()
684 trace.
emphase() << ( res ?
"Passed." :
"Error." ) << endl;
Aim: This class is useful to perform a breadth-first exploration of a graph given a starting point or...
const Node & current() const
const MarkSet & markedVertices() const
std::pair< Vertex, Data > Node
FIXME.
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as the boundary of a given...
Aim: A wrapper class around a STL associative container for storing sets of digital points within som...
void insert(const Point &p)
Aim: Represents a set of n-1-cells in a nD space, together with adjacency relation between these cell...
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as connected surfels....
const Point & lowerBound() const
const Point & upperBound() const
Aim: implements association bewteen points lying in a digital domain and values.
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as the boundary of an impl...
Aim: This class is a model of CCellularGridSpaceND. It represents the cubical grid as a cell complex,...
bool init(const Point &lower, const Point &upper, bool isClosed)
Specifies the upper and lower bounds for the maximal cells in this space.
DirIterator sDirs(const SCell &p) const
Given a signed cell [p], returns an iterator to iterate over each coordinate the cell spans.
Point sCoords(const SCell &c) const
Return its digital coordinates.
SCell sSpel(Point p, Sign sign=POS) const
From the digital coordinates of a point in Zn, builds the corresponding spel (cell of maximal dimensi...
static const constexpr Sign POS
NumberTraits< Integer >::UnsignedVersion Size
Type used to represent sizes in the digital space.
SCell sIncident(const SCell &c, Dimension k, bool up) const
Return the forward or backward signed cell incident to [c] along axis [k], depending on [up].
static const constexpr Dimension dimension
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as connected surfels....
Aim: A model of CDigitalSurfaceContainer which defines the digital surface as the boundary of an impl...
static void addNorm2Ball(TDigitalSet &aSet, const Point &aCenter, UnsignedInteger aRadius)
static void removeNorm2Ball(TDigitalSet &aSet, const Point &aCenter, UnsignedInteger aRadius)
static SCell findABel(const KSpace &K, const PointPredicate &pp, unsigned int nbtries=1000)
Aim: Represent adjacencies between surfel elements, telling if it follows an interior to exterior ord...
void beginBlock(const std::string &keyword="")
Aim: The predicate on surfels that represents the frontier between a region and its complementary in ...
Aim: The predicate on surfels that represents the frontier between two regions in an image....
Point::Coordinate Integer
MyDigitalSurface::ConstIterator ConstIterator
Aim: Gathers several functions useful for concept checks.
functors namespace gathers all DGtal functors.
DGtal is the top-level namespace which contains all DGtal functions and types.
DGtal::uint32_t Dimension
DigitalSetByAssociativeContainer< Domain, std::unordered_set< typename Domain::Point > > Type
Represents a signed cell in a cellular grid space by its Khalimsky coordinates and a boolean value.
bool testDigitalSurface()
bool testLightImplicitDigitalSurface()
void fillImage3D(Image3D &img, typename Image3D::Point low, typename Image3D::Point up, typename Image3D::Value value)
bool testDigitalSetBoundary()
bool testExplicitDigitalSurface()
bool testLightExplicitDigitalSurface()
bool testOrderingDigitalSurfaceFacesAroundVertex()
bool testImplicitDigitalSurface()
HalfEdgeDataStructure::Size Size
HyperRectDomain< Space > Domain
Z2i::DigitalSet DigitalSet