Intersection Detection Functions

Functions to detect intersections.

Note that those functions will be exact as long as the underlying do-intersect predicates used are exact. In practice, it means that the 3D point type used must come from a CGAL kernel with exact predicates.

Functions
template<class PolylineRange >
bool	CGAL::Polygon_mesh_processing::do_intersect (const PolylineRange &polylines1, const PolylineRange &polylines2)
	returns true if there exists a segment of a polyline of polylines1 and a segment of a polyline of polylines2 which intersect, and false otherwise. More...
template<class Polyline >
bool	CGAL::Polygon_mesh_processing::do_intersect (const Polyline &polyline1, const Polyline &polyline2)
	returns true if there exists a segment of polyline1 and a segment of polyline2 which intersect, and false otherwise. More...
template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >
bool	CGAL::Polygon_mesh_processing::do_intersect (const TriangleMesh &tm1, const TriangleMesh &tm2, const NamedParameters1 &np1, const NamedParameters2 &np2)
	returns true if there exists a face of tm1 and a face of tm2 which intersect, and false otherwise. More...
template<class TriangleMesh , class PolylineRange , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::do_intersect (const TriangleMesh &tm, const PolylineRange &polylines, const NamedParameters &np)
	returns true if there exists a face of tm and a segment of a polyline of polylines which intersect, and false otherwise. More...
template<class TriangleMesh , class Polyline , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::do_intersect (const TriangleMesh &tm, const Polyline &polyline, const NamedParameters &np)
	returns true if there exists a face of tm and a segment of polyline which intersect, and false otherwise. More...
template<class TriangleMeshRange , class OutputIterator , class NamedParameters , class NamedParametersRange >
OutputIterator	CGAL::Polygon_mesh_processing::intersecting_meshes (const TriangleMeshRange &range, OutputIterator out, const NamedParameters &np, const NamedParametersRange &nps)
	detects and reports all the pairs of meshes intersecting in a range of triangulated surface meshes. More...

Function Documentation

do_intersect() [1/5]

template<class PolylineRange >

bool CGAL::Polygon_mesh_processing::do_intersect	(	const PolylineRange &	polylines1,
		const PolylineRange &	polylines2
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

returns true if there exists a segment of a polyline of polylines1 and a segment of a polyline of polylines2 which intersect, and false otherwise.

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

Template Parameters

PolylineRange

a RandomAccessRange of RandomAccessRange of points. The point type must be from a 3D point from a CGAL Kernel. A polyline is defined as a sequence of points, each pair of contiguous points defines a segment of the polyline. If the first and last points of the polyline are identical, the polyline is closed.

Parameters

polylines1	the first range of polylines to check for intersections.
polylines2	the second range of polylines to check for intersections.

do_intersect() [2/5]

template<class Polyline >

bool CGAL::Polygon_mesh_processing::do_intersect	(	const Polyline &	polyline1,
		const Polyline &	polyline2
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

returns true if there exists a segment of polyline1 and a segment of polyline2 which intersect, and false otherwise.

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

Template Parameters

Polyline

a RandomAccessRange of points. The point type must be from a 3D point type from CGAL Kernel. A polyline is defined as a sequence of points, each pair of contiguous points defines a segment of the polyline. If the first and last points of the polyline are identical, the polyline is closed.

Parameters

polyline1	the first polyline to check for intersections.
polyline2	the second polyline to check for intersections.

do_intersect() [3/5]

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >

bool CGAL::Polygon_mesh_processing::do_intersect	(	const TriangleMesh &	tm1,
		const TriangleMesh &	tm2,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

returns true if there exists a face of tm1 and a face of tm2 which intersect, and false otherwise.

If do_overlap_test_of_bounded_sides is set to true, the overlap of bounded sides are tested as well. In that case, the meshes must be closed. This function depends on the package Intersecting Sequences of dD Iso-oriented Boxes.

Precondition

CGAL::is_triangle_mesh(tm1)

CGAL::is_triangle_mesh(tm2)

!do_overlap_test_of_bounded_sides || CGAL::is_closed(tm1)

!do_overlap_test_of_bounded_sides || CGAL::is_closed(tm2)

Template Parameters

TriangleMesh	a model of FaceListGraph
NamedParameters1	a sequence of Named Parameters for tm1
NamedParameters2	a sequence of Named Parameters for tm2

Parameters

tm1	the first triangulated surface mesh to check for intersections
tm2	the second triangulated surface mesh to check for intersections
np1	an optional sequence of Named Parameters among the ones listed below
np2	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of tm1 (tm2) Type: a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tm1 (tm2)) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available for the vertices of tm1 (tm2) Extra: Both vertex point maps must have the same value type
geom_traits an instance of a geometric traits class Type: a class model of PMPSelfIntersectionTraits Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the vertex point type. Extra: np1 only
do_overlap_test_of_bounded_sides If true, also tests the overlap of the bounded sides of tm1 and tm2. If false, only the intersection of surface triangles is tested. Type: Boolean Default: false

do_intersect() [4/5]

template<class TriangleMesh , class PolylineRange , class NamedParameters >

bool CGAL::Polygon_mesh_processing::do_intersect	(	const TriangleMesh &	tm,
		const PolylineRange &	polylines,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

returns true if there exists a face of tm and a segment of a polyline of polylines which intersect, and false otherwise.

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

Precondition

CGAL::is_triangle_mesh(tm)

Template Parameters

TriangleMesh	a model of FaceListGraph
PolylineRange	a RandomAccessRange of RandomAccessRange of points. The point type of the range must be the same as the value type of the vertex point map. A polyline is defined as a sequence of points, each pair of contiguous points defines a segment of the polyline. If the first and last points of the polyline are identical, the polyline is closed.
NamedParameters	a sequence of Named Parameters

Parameters

tm	the triangulated surface mesh to check for intersections
polylines	the range of polylines to check for intersections.
np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of tm Type: a class model of ReadWritePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tm) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available for the vertices of tm.
geom_traits an instance of a geometric traits class Type: a class model of PMPSelfIntersectionTraits Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the vertex point type.

do_intersect() [5/5]

template<class TriangleMesh , class Polyline , class NamedParameters >

bool CGAL::Polygon_mesh_processing::do_intersect	(	const TriangleMesh &	tm,
		const Polyline &	polyline,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

returns true if there exists a face of tm and a segment of polyline which intersect, and false otherwise.

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

Precondition

CGAL::is_triangle_mesh(tm)

Template Parameters

TriangleMesh	a model of FaceListGraph
Polyline	a RandomAccessRange of points. The point type of the range must be the same as the value type of the vertex point map. A polyline is defined as a sequence of points, each pair of contiguous points defines a segment of the polyline. If the first and last points of the polyline are identical, the polyline is closed.
NamedParameters	a sequence of Named Parameters

Parameters

tm	the triangulated surface mesh to check for intersections
polyline	the polyline to check for intersections.
np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of tm Type: a class model of ReadWritePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tm) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available for the vertices of tm.
geom_traits an instance of a geometric traits class Type: a class model of PMPSelfIntersectionTraits Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits Extra: The geometric traits class must be compatible with the vertex point type.

intersecting_meshes()

template<class TriangleMeshRange , class OutputIterator , class NamedParameters , class NamedParametersRange >

OutputIterator CGAL::Polygon_mesh_processing::intersecting_meshes	(	const TriangleMeshRange &	range,
		OutputIterator	out,
		const NamedParameters &	np,
		const NamedParametersRange &	nps
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

detects and reports all the pairs of meshes intersecting in a range of triangulated surface meshes.

A pair of meshes intersecting is put in the output iterator out as a std::pair<std::size_t, std::size_t>, each index refering to the index of the triangle mesh in the input range. If do_overlap_test_of_bounded_sides is true, the overlap of bounded sides are tested as well. In that case, the meshes must be closed. This function depends on the package Intersecting Sequences of dD Iso-oriented Boxes.

Template Parameters

TriangleMeshRange	a model of RandomAccessRange of triangulated surface meshes model of FaceListGraph.
OutputIterator	an output iterator in which std::pair<std::size_t, std::size_t> can be put.
NamedParameters	a sequence of Named Parameters for the algorithm
NamedParametersRange	a range of Named Parameters for the meshes.

Parameters

range	the range of triangulated surface meshes to be checked for intersections.
out	output iterator used to collect pairs of intersecting meshes.
np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

geom_traits an instance of a geometric traits class Type: a class model of PMPSelfIntersectionTraits Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits, where Point is the value type of the vertex point map of the meshes
do_overlap_test_of_bounded_sides If true, reports also overlap of bounded sides of meshes. If false, only the intersection of surface triangles are tested. Type: Boolean Default: false

Parameters

nps	an optional range of sequences of Named Parameters among the ones listed below

Optional Named Parameters

vertex_point_map a property map associating points to the vertices of a mesh tm Type: a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tm) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t should be available for the vertices of tm. Extra: All vertex point maps must have the same value type