\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10 - CGAL and the Boost Graph Library
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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.