IntersectionGeometricTraits_3 Concept Reference

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

All models of the CGAL concept Kernel

See also

BisectionGeometricTraits_3

CGAL::Polyhedral_mesh_domain_3<Polyhedron,IGT>

Types
typedef unspecified_type	Point_3
	Point type.
typedef unspecified_type	Segment_3
	Segment type.
typedef unspecified_type	Triangle_3
	Triangle type.
typedef unspecified_type	Do_intersect_3
	Function object that detects an intersection between a 3D segment and a 3D triangle.
typedef unspecified_type	Intersect_3
	Function object that constructs the intersection between a 3D segment and a 3D triangle.

Operations
Do_intersect_3	do_intersect_3_object ()
	Returns the intersection detection functor.
Intersect_3	intersect_3_object ()
	Returns the intersection constructor.

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:

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

which computes the intersection between the triangle and the segment.