CGAL::Polyhedral_envelope< GeomTraits > Struct Template Reference

#include <CGAL/Polyhedral_envelope.h>

Definition

This class can be used to check if a query point, segment, or triangle is inside or outside a polyhedral envelope of a set of triangles, constructed for a given \( \epsilon \) distance tolerance.

The polyhedral envelope is the union of prisms obtained. See Section Polyhedral Envelope Containment Check for more details.

Template Parameters

GeomTraits

a geometric traits class, model of Kernel

Examples:

Polygon_mesh_processing/polyhedral_envelope.cpp, Polygon_mesh_processing/polyhedral_envelope_mesh_containment.cpp, and Polygon_mesh_processing/polyhedral_envelope_of_triangle_soup.cpp.

Public Types
typedef GeomTraits::Point_3	Point_3

Public Member Functions
bool	is_empty () const
	returns true if the polyhedral envelope is empty and false otherwise.

Initialization
	Polyhedral_envelope ()
	Default constructor, envelope is empty.
	Polyhedral_envelope (const Polyhedral_envelope< GeomTraits > &)=delete
Polyhedral_envelope< GeomTraits > &	operator= (const Polyhedral_envelope< GeomTraits > &)=delete
Polyhedral_envelope< GeomTraits > &	operator= (Polyhedral_envelope< GeomTraits > &&other) noexcept
	Polyhedral_envelope (Polyhedral_envelope< GeomTraits > &&other)
template<typename TriangleMesh , typename NamedParameters >
	Polyhedral_envelope (const TriangleMesh &tmesh, double epsilon, const NamedParameters &np)
	Constructor with a triangulated surface mesh. More...
template<typename FaceRange , typename TriangleMesh , typename NamedParameters >
	Polyhedral_envelope (const FaceRange &face_range, const TriangleMesh &tmesh, double epsilon, const NamedParameters &np)
	Constructor using a subset of faces of a triangulated surface mesh. More...
template<typename PointRange , typename TriangleRange , typename NamedParameters >
	Polyhedral_envelope (const PointRange &points, const TriangleRange &triangles, double epsilon, const NamedParameters &np)
	Constructor with a triangle soup. More...

Query Operators
bool	operator() (const Point_3 &query) const
	returns true, iff the query point is inside the polyhedral envelope.
bool	operator() (const Point_3 &source, const Point_3 &target) const
	returns true, iff the query segment defined by the points source and target is inside the polyhedral envelope.
bool	operator() (const Point_3 &t0, const Point_3 &t1, const Point_3 &t2) const
	returns true, iff the query triangle formed by the points t0, t1, and t2 is inside the polyhedral envelope.
template<typename TriangleMesh , typename NamedParameters >
bool	operator() (const TriangleMesh &tmesh, const NamedParameters &np) const
	returns true, iff all the triangles of tmesh are inside the polyhedral envelope. More...
template<typename PointRange , typename TriangleRange , typename NamedParameters >
bool	operator() (const PointRange &points, const TriangleRange &triangles, const NamedParameters &np) const
	returns true, iff all the triangles in triangles are inside the polyhedral envelope. More...
template<typename TriangleRange >
bool	operator() (const TriangleRange &triangle_range) const
	returns true, iff all the triangles in triangle_range are inside the polyhedral envelope. More...

Constructor & Destructor Documentation

Polyhedral_envelope() [1/3]

template<typename GeomTraits >

template<typename TriangleMesh , typename NamedParameters >

CGAL::Polyhedral_envelope< GeomTraits >::Polyhedral_envelope	(	const TriangleMesh &	tmesh,
		double	epsilon,
		const NamedParameters &	np
	)

Constructor with a triangulated surface mesh.

Template Parameters

TriangleMesh	a model of FaceListGraph
NamedParameters	a sequence of Named Parameters

Parameters

tmesh	a triangle mesh
epsilon	the distance of the Minkowski sum hull
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 tmesh Type: a class model of ReadablePropertyMap with boost::graph_traits<PolygonMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tmesh) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh.
face_epsilon_map a property map associating to each face of tm an epsilon value Type: a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::face_descriptor as key type and double as value type Default: Use epsilon for all faces

Note

The triangle mesh gets copied internally, that is it can be modifed after having passed as argument, while the queries are performed

Polyhedral_envelope() [2/3]

template<typename GeomTraits >

template<typename FaceRange , typename TriangleMesh , typename NamedParameters >

CGAL::Polyhedral_envelope< GeomTraits >::Polyhedral_envelope	(	const FaceRange &	face_range,
		const TriangleMesh &	tmesh,
		double	epsilon,
		const NamedParameters &	np
	)

Constructor using a subset of faces of a triangulated surface mesh.

Template Parameters

FaceRange	a model of ConstRange with ConstRange::const_iterator being a model of InputIterator with boost::graph_traits<TriangleMesh>::face_descriptor as value type
TriangleMesh	a model of FaceListGraph
NamedParameters	a sequence of Named Parameters

Parameters

tmesh	a triangle mesh
face_range	the subset of faces to be considered when computing the polyhedron envelope
epsilon	the distance of the Minkowski sum hull
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 tmesh Type: a class model of ReadablePropertyMap with boost::graph_traits<PolygonMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tmesh) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh.
face_epsilon_map a property map associating to each face of tm an epsilon value Type: a class model of ReadablePropertyMap with boost::graph_traits<TriangleMesh>::face_descriptor as key type and double as value type Default: Use epsilon for all faces

Note

The triangle mesh gets copied internally, that is it can be modifed after having passed as argument, while the queries are performed

Polyhedral_envelope() [3/3]

template<typename GeomTraits >

template<typename PointRange , typename TriangleRange , typename NamedParameters >

CGAL::Polyhedral_envelope< GeomTraits >::Polyhedral_envelope	(	const PointRange &	points,
		const TriangleRange &	triangles,
		double	epsilon,
		const NamedParameters &	np
	)

Constructor with a triangle soup.

Template Parameters

PointRange	a model of the concept ConstRange with PointRange::const_iterator being a model of InputIterator with a point as value type
TriangleRange	a model of the concept ConstRange with TriangleRange::const_iterator being a model of InputIterator whose value type is model of the concept RandomAccessContainer whose value_type is convertible to std::size_t.
NamedParameters	a sequence of Named Parameters

Parameters

points	points of the soup of triangles
triangles	each element in the range describes a triangle as a triple of indices of the points in points
epsilon	the distance of the Minkowski sum hull
np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

point_map a property map associating points to the elements of the range points Type: a model of ReadablePropertyMap whose value type is Point_3 and whose key is the value type of PointRange::const_iterator Default: CGAL::Identity_property_map
face_epsilon_map a property map associating to each triangle an epsilon value Type: a class model of ReadablePropertyMap with std::size_t as key type and double as value type Default: Use epsilon for all triangles

Member Function Documentation

operator()() [1/3]

template<typename GeomTraits >

template<typename TriangleMesh , typename NamedParameters >

bool CGAL::Polyhedral_envelope< GeomTraits >::operator()	(	const TriangleMesh &	tmesh,
		const NamedParameters &	np
	)		const

returns true, iff all the triangles of tmesh are inside the polyhedral envelope.

Template Parameters

TriangleMesh	a model of FaceListGraph
NamedParameters	a sequence of Named Parameters

Parameters

tmesh	a triangle mesh
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 tmesh Type: a class model of ReadablePropertyMap with boost::graph_traits<PolygonMesh>::vertex_descriptor as key type and Point_3 as value type Default: boost::get(CGAL::vertex_point, tmesh) Extra: If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh.

operator()() [2/3]

template<typename GeomTraits >

template<typename PointRange , typename TriangleRange , typename NamedParameters >

bool CGAL::Polyhedral_envelope< GeomTraits >::operator()	(	const PointRange &	points,
		const TriangleRange &	triangles,
		const NamedParameters &	np
	)		const

returns true, iff all the triangles in triangles are inside the polyhedral envelope.

Template Parameters

PointRange	a model of the concept ConstRange with PointRange::const_iterator being a model of InputIterator with a point as value type
TriangleRange	a model of the concept ConstRange with TriangleRange::const_iterator being a model of InputIterator whose value type is model of the concept RandomAccessContainer whose value_type is convertible to std::size_t.
NamedParameters	a sequence of Named Parameters

Parameters

points	points of the soup of triangles
triangles	each element in the range describes a triangle as a triple of indices of the points in points
np	an optional sequence of Named Parameters among the ones listed below

Optional Named Parameters

point_map a property map associating points to the elements of the range points Type: a model of ReadablePropertyMap whose value type is Point_3 and whose key is the value type of PointRange::const_iterator Default: CGAL::Identity_property_map

operator()() [3/3]

template<typename GeomTraits >

template<typename TriangleRange >

bool CGAL::Polyhedral_envelope< GeomTraits >::operator()

(

const TriangleRange &

triangle_range

)

const

returns true, iff all the triangles in triangle_range are inside the polyhedral envelope.

Template Parameters

TriangleRange

a model of ConstRange with ConstRange::const_iterator being a model of InputIterator with a value type being itself a model of ConstRange with ConstRange::const_iterator being a model of InputIterator with Point_3 as value type.

Parameters

triangle_range

a range of triangles