\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.6 - CGAL and the Boost Graph Library
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
FaceGraph Concept Reference
Concepts

Definition

The concept FaceGraph refines the concept HalfedgeGraph. It adds the requirements for a graph to explicitly maintain faces described by halfedges, to provide access from a face to an incident halfedge, and to provide access from a halfedge to its incident face.

Refines:
HalfedgeGraph
Has Models:

CGAL::Polyhedron_3

CGAL::Surface_mesh

Notations

G
A type that is a model of FaceGraph.
g
An object of type G.
e
An edge descriptor.
f
A face descriptor.
h
A halfedge descriptor.

Associated Types

Type Description
boost::graph_traits<G>::face_descriptor A face_descriptor corresponds to a unique face in a graph. Must be DefaultConstructible, Assignable, EqualityComparable and LessThanComparable.

Valid Expressions

Expression Returns Description
face(h, g) face_descriptor The face incident to halfedge h.
halfedge(f, g) halfedge_descriptor A halfedge incident to face f.
degree(f,g) degree_size_type The number of halfedges, incident to face f.
boost::graph_traits<G>::null_face() face_descriptor Returns a special face that is not equal to any other face.