\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13 - Halfedge Data Structures
Classes
Concepts
Halfedge Data Structures Reference

Concepts

conceptHalfedgeDS< Traits, Items, Alloc >
 The concept of a halfedge data structure (abbreviated as HalfedgeDS, or HDS for template parameters) defines an edge-centered data structure capable of maintaining incidence information 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. More...
 
conceptHalfedgeDSFace
 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. More...
 
conceptHalfedgeDSHalfedge
 The concept HalfedgeDSHalfedge defines the requirements for the local Halfedge type in the HalfedgeDS concept. It is also required in the Halfedge_wrapper<Refs,Traits> member class template of an items class, see the HalfedgeDSItems concept. More...
 
conceptHalfedgeDSItems
 The concept HalfedgeDSItems wraps the three item types - vertex, halfedge, and face - for a halfedge data structure. A HalfedgeDSItems contains three member class templates named Vertex_wrapper, Halfedge_wrapper, and Face_wrapper, each with two template parameters, Refs and Traits. Refs requires an instantiated halfedge data structure HalfedgeDS as argument, Traits is a geometric traits class supplied by the class that uses the halfedge data structure as internal representation. Traits is not used by the halfedge data structure itself. These three member class templates provide a local type named Vertex, Halfedge, and Face respectively. The requirements on these types are described on the manual pages of the concepts HalfedgeDSVertex, HalfedgeDSHalfedge, and HalfedgeDSFace respectively. More...
 
conceptHalfedgeDSVertex
 The concept HalfedgeDSVertex defines the requirements for the local Vertex type in the HalfedgeDS concept. It is also required in the Vertex_wrapper<Refs,Traits> member class template of an items class, see the HalfedgeDSItems concept. More...