PolyhedronTraits_3 Concept Reference

Definition

Required types and member functions for the PolyhedronTraits_3 concept. This geometric traits concept is used in the polyhedral surface data structure CGAL::Polyhedron_3<Traits>. Any CGAL kernel is a model of this concept and can be used directly as template argument.

Refines

CopyConstructible

Assignable

Has models

All models of the Kernel concept, e.g. CGAL::Simple_cartesian<FieldNumberType>

CGAL::Polyhedron_traits_3<Kernel>

CGAL::Polyhedron_traits_with_normals_3<Kernel>

See also

CGAL::Polyhedron_3<Traits>

Types
typedef unspecified_type	Point_3
	point type.
typedef unspecified_type	Plane_3
	plane equation.
typedef unspecified_type	Construct_opposite_plane_3
	is an unary function object that reverses the plane orientation.

Creation
	PolyhedronTraits_3 (const PolyhedronTraits_3 &traits2)
	copy constructor.
PolyhedronTraits_3 &	operator= (const PolyhedronTraits_3 &traits2)
	assignment.

Operations
Construct_opposite_plane_3	construct_opposite_plane_3_object ()
	returns an instance of this function object.

Member Typedef Documentation

Construct_opposite_plane_3

typedef unspecified_type PolyhedronTraits_3::Construct_opposite_plane_3

is an unary function object that reverses the plane orientation.

Must provide Plane_3 operator()(Plane_3 plane) that returns the reversed plane. Required only if plane equations are supported and the inside_out() method is used to reverse the polyhedral surface orientation.

Plane_3

typedef unspecified_type PolyhedronTraits_3::Plane_3

plane equation.

Even if plane equations are not supported with a particular polyhedral surface this type has to be defined (some dummy type).