HalfedgeDSFace

Definition

The concept HalfedgeDSFace defines the requirements for the local Face type in the HalfedgeDS concept. It is also required in the Face_wrapper<Refs,Traits> member class template of an items class, see the HalfedgeDSItems concept.

A face optionally stores a reference to an incident halfedge that points to the face. A type tag indicates whether the related member functions are supported. Figure  depicts the relationship between a halfedge and its incident halfedges, vertices, and faces.

For the protection of the integrity of the data structure classes such as CGAL::Polyhedron_3 are allowed to redefine the modifying member functions to be private. In order to make them accessible for the halfedge data structure they must be derived from a base class Base where the modifying member functions are still public. (The protection can be bypassed by the user, but not by accident.)

Types

HalfedgeDSFace::HalfedgeDS
	instantiated HalfedgeDS ( $$ Refs).
HalfedgeDSFace::Base
	base class that allows modifications.
HalfedgeDSFace::Vertex
	model of HalfedgeDSVertex.
HalfedgeDSFace::Halfedge
	model of HalfedgeDSHalfedge.
HalfedgeDSFace::Vertex_handle
	handle to vertex.
HalfedgeDSFace::Halfedge_handle
	handle to halfedge.
HalfedgeDSFace::Face_handle
	handle to face.
HalfedgeDSFace::Vertex_const_handle
HalfedgeDSFace::Halfedge_const_handle
HalfedgeDSFace::Face_const_handle
HalfedgeDSFace::Supports_face_halfedge
	CGAL::Tag_true or CGAL::Tag_false.

Creation

Operations available if Supports_face_halfedge $$ CGAL::Tag_true

Has Models

CGAL::HalfedgeDS_face_base<Refs>
CGAL::HalfedgeDS_face_min_base<Refs>

See Also

HalfedgeDS<Traits,Items,Alloc>
HalfedgeDSItems
HalfedgeDSVertex
HalfedgeDSHalfedge