.
A halfedge data structure (abbreviated as HalfedgeDS, or
HDS for template parameters) is an edge-centered data structure
capable of maintaining incidence informations of vertices, edges and
faces, for example for planar maps or polyhedral surfaces. It is a
combinatorial data structure, geometric interpretation is added by
classes built on top of the halfedge data structure. These classes
might be more convenient to use than the halfedge data structure
directly, since the halfedge data structure is meant as an
implementation layer. See for example the CGAL::Polyhedron_3
class in Chapter .
The data structure provided here is known as the FE-structure [Wei85], as halfedges [Män88, BFH95] or as the doubly connected edge list (DCEL) [dBvKOS97], although the original reference for the DCEL [MP78] describes a related but different data structure. The halfedge data structure can also be seen as one of the variants of the quad-edge data structure [GS85]. In general, the quad-edge data can represent non-orientable 2-manifolds, but the variant here is restricted to orientable 2-manifolds only. An overview and comparison of these different data structures together with a thorough description of the design implemented here can be found in [Ket99].
HalfedgeDS<Traits,Items,Alloc>
HalfedgeDSItems
HalfedgeDSVertex
HalfedgeDSHalfedge
HalfedgeDSFace
CGAL::HalfedgeDS_default<Traits,HalfedgeDSItems,Alloc>
CGAL::HalfedgeDS_list<Traits,HalfedgeDSItems,Alloc>
CGAL::HalfedgeDS_vector<Traits,HalfedgeDSItems,Alloc>
CGAL::HalfedgeDS_min_items
CGAL::HalfedgeDS_items_2
CGAL::HalfedgeDS_vertex_base<Refs>
CGAL::HalfedgeDS_halfedge_base<Refs>
CGAL::HalfedgeDS_face_base<Refs>
CGAL::HalfedgeDS_vertex_min_base<Refs>
CGAL::HalfedgeDS_halfedge_min_base<Refs>
CGAL::HalfedgeDS_face_min_base<Refs>
CGAL::HalfedgeDS_items_decorator<HDS>
CGAL::HalfedgeDS_decorator<HDS>
CGAL::HalfedgeDS_const_decorator<HDS>