Intersection Functions

Functions to test if there are self intersections, and to report faces that do intersect.

Functions
template<class TriangleMesh , class OutputIterator , class NamedParameters >
OutputIterator	CGAL::Polygon_mesh_processing::self_intersections (const TriangleMesh &tmesh, OutputIterator out, const NamedParameters &np)
	detects and records self-intersections of a triangulated surface mesh. More...
template<class TriangleMesh , class FaceRange , class OutputIterator , class NamedParameters >
OutputIterator	CGAL::Polygon_mesh_processing::self_intersections (const FaceRange &face_range, const TriangleMesh &tmesh, OutputIterator out, const NamedParameters &np)
	Same as above but the self-intersections reported are only limited to the faces in face_range. More...
template<class TriangleMesh , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::does_self_intersect (const TriangleMesh &tmesh, const NamedParameters &np)
	tests if a triangulated surface mesh self-intersects. More...
template<class FaceRange , class TriangleMesh , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::does_self_intersect (const FaceRange &face_range, const TriangleMesh &tmesh, const NamedParameters &np)
	tests if a set of faces of a triangulated surface mesh self-intersects. More...

Function Documentation

template<class TriangleMesh , class NamedParameters >

bool CGAL::Polygon_mesh_processing::does_self_intersect	(	const TriangleMesh &	tmesh,
		const NamedParameters &	np
	)

tests if a triangulated surface mesh self-intersects.

This function depends on the package Intersecting Sequences of dD Iso-oriented Boxes

Precondition

CGAL::is_triangle_mesh(tmesh)

Template Parameters

TriangleMesh	a model of FaceListGraph
NamedParameters	a sequence of Named Parameters

Parameters

tmesh	the triangulated surface mesh to be tested
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of tmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in TriangleMesh
geom_traits	an instance of a geometric traits class, model of PMPSelfIntersectionTraits

Returns

true if tmesh self-intersects

#include <CGAL/Polygon_mesh_processing/self_intersections.h>

Examples:

Polygon_mesh_processing/self_intersections_example.cpp.

template<class FaceRange , class TriangleMesh , class NamedParameters >

bool CGAL::Polygon_mesh_processing::does_self_intersect	(	const FaceRange &	face_range,
		const TriangleMesh &	tmesh,
		const NamedParameters &	np
	)

tests if a set of faces of a triangulated surface mesh self-intersects.

This function depends on the package Intersecting Sequences of dD Iso-oriented Boxes

Precondition

CGAL::is_triangle_mesh(tmesh)

Template Parameters

FaceRange	a range of face_descriptor
TriangleMesh	a model of FaceListGraph
NamedParameters	a sequence of Named Parameters

Parameters

face_range	the set of faces to test for self-intersection
tmesh	the triangulated surface mesh to be tested
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of tmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in TriangleMesh
geom_traits	an instance of a geometric traits class, model of SelfIntersectionTraits

Returns

true if the faces in face_range self-intersects

#include <CGAL/Polygon_mesh_processing/self_intersections.h>

template<class TriangleMesh , class OutputIterator , class NamedParameters >

OutputIterator CGAL::Polygon_mesh_processing::self_intersections	(	const TriangleMesh &	tmesh,
		OutputIterator	out,
		const NamedParameters &	np
	)

detects and records self-intersections of a triangulated surface mesh.

This function depends on the package Intersecting Sequences of dD Iso-oriented Boxes

Precondition

CGAL::is_triangle_mesh(tmesh)

Template Parameters

TriangleMesh	a model of FaceListGraph
OutputIterator	a model of OutputIterator holding objects of type std::pair<boost::graph_traits<TriangleMesh>::face_descriptor, boost::graph_traits<TriangleMesh>::face_descriptor>
NamedParameters	a sequence of Named Parameters

Parameters

tmesh	the triangulated surface mesh to be checked
out	output iterator to be filled with all pairs of non-adjacent faces that intersect
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in TriangleMesh
geom_traits	an instance of a geometric traits class, model of PMPSelfIntersectionTraits

Returns

out

#include <CGAL/Polygon_mesh_processing/self_intersections.h>

Examples:

Polygon_mesh_processing/self_intersections_example.cpp.

template<class TriangleMesh , class FaceRange , class OutputIterator , class NamedParameters >

OutputIterator CGAL::Polygon_mesh_processing::self_intersections	(	const FaceRange &	face_range,
		const TriangleMesh &	tmesh,
		OutputIterator	out,
		const NamedParameters &	np
	)

Same as above but the self-intersections reported are only limited to the faces in face_range.

Precondition

CGAL::is_triangle_mesh(tmesh)

Template Parameters

FaceRange	range of boost::graph_traits<PolygonMesh>::face_descriptor, model of Range. Its iterator type is RandomAccessIterator.
TriangleMesh	a model of FaceListGraph
OutputIterator	a model of OutputIterator holding objects of type std::pair<boost::graph_traits<TriangleMesh>::face_descriptor, boost::graph_traits<TriangleMesh>::face_descriptor>
NamedParameters	a sequence of Named Parameters

Parameters

face_range	the range of faces to check for self-intersection.
tmesh	the triangulated surface mesh to be checked
out	output iterator to be filled with all pairs of non-adjacent faces that intersect
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available in TriangleMesh
geom_traits	an instance of a geometric traits class, model of PMPSelfIntersectionTraits

#include <CGAL/Polygon_mesh_processing/self_intersections.h>