#include <Concepts/IntersectionGeometricTraits_3.h>

Definition

The concept IntersectionGeometricTraits_3 provides types and functors required to implement a model of MeshDomain_3, when the domain is described by a simplicial surface mesh forming its boundary. The concept IntersectionGeometricTraits_3 mainly provides the detection and construction of intersections between segments and triangles.

Has Models:: Any CGAL::Kernel.

See also: BisectionGeometricTraits_3; CGAL::Polyhedral_mesh_domain_3<Polyhedron,IGT,TriangleAccessor>

Types
typedef unspecified_type	Point_3
	Point type. More...

typedef unspecified_type	Segment_3
	Segment type. More...

typedef unspecified_type	Triangle_3
	Triangle type. More...

typedef unspecified_type	Do_intersect_3
	Function object that detects an intersection between a 3D segment and a 3D triangle. More...

typedef unspecified_type	Intersect_3
	Function object that constructs the intersection between a 3D segment and a 3D triangle. More...

Operations
Do_intersect_3	do_intersect_3_object ()
	Returns the intersection detection functor. More...

Intersect_3	intersect_3_object ()
	Returns the intersection constructor. More...

Member Typedef Documentation

◆ Do_intersect_3

typedef unspecified_type IntersectionGeometricTraits_3::Do_intersect_3

Function object that detects an intersection between a 3D segment and a 3D triangle.

Partial model of Kernel::DoIntersect_3. Provides the operators:

bool operator()(Segment_3 seg, Triangle_3 tr)
bool operator()(Triangle_3 tr, Segment_3 seg)

which returns true, iff the triangle and the segment have a non empty intersection.

◆ Intersect_3

typedef unspecified_type IntersectionGeometricTraits_3::Intersect_3

Function object that constructs the intersection between a 3D segment and a 3D triangle.

Partial model of Kernel::Intersect_3. Provides the operators:

boost::optional< boost::variant< Point_3, Segment_3 > > operator()(Segment_3 seg, Triangle_3 tr)
boost::optional< boost::variant< Point_3, Segment_3 > > operator()(Triangle_3 tr, Segment_3 seg)

which computes the intersection between the triangle and the segment.

◆ Point_3

typedef unspecified_type IntersectionGeometricTraits_3::Point_3

Point type.

◆ Segment_3

typedef unspecified_type IntersectionGeometricTraits_3::Segment_3

Segment type.

◆ Triangle_3

typedef unspecified_type IntersectionGeometricTraits_3::Triangle_3

Triangle type.

Member Function Documentation

◆ do_intersect_3_object()

Do_intersect_3 IntersectionGeometricTraits_3::do_intersect_3_object ( )

Returns the intersection detection functor.

◆ intersect_3_object()

Intersect_3 IntersectionGeometricTraits_3::intersect_3_object ( )

Returns the intersection constructor.