\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.1 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
TriangulatedSurfaceMesh Concept Reference

Definition

The concept TriangulatedSurfaceMesh describes an oriented surface (possibly with boundary) embedded in the 3 space. It is combinatorially based on a halfedge data structure with triangular faces, geometrically 3d points associated to the vertices define the embedding.

Has Models:
CGAL::Polyhedron_3 with the restriction that faces are triangular.

Creation

Construction and destruction are undefined.

Concepts

conceptFacet
 Opaque type representing a facet of the TriangulatedSurfaceMesh . More...
 
conceptHalfedge
 Opaque type representing a halfedge of the TriangulatedSurfaceMesh . More...
 
conceptVertex
 Opaque type representing a vertex of the TriangulatedSurfaceMesh . More...
 

Types

typedef unspecified_type Facet_handle
 Handle to a facet. More...
 
typedef unspecified_type Facet_const_handle
 
typedef unspecified_type Facet_iterator
 Iterator over all mesh facets. More...
 
typedef unspecified_type Facet_const_iterator
 
typedef unspecified_type Vertex_handle
 Handle to a vertex. More...
 
typedef unspecified_type Vertex_const_handle
 
typedef unspecified_type Vertex_iterator
 Iterator over all vertices of a mesh. More...
 
typedef unspecified_type Vertex_const_iterator
 
typedef unspecified_type Halfedge_handle
 Handle to a halfedge. More...
 
typedef unspecified_type Halfedge_const_handle
 
typedef unspecified_type Halfedge_iterator
 Iterator over all halfedges of a TriangulatedSurfaceMesh . More...
 
typedef unspecified_type Halfedge_const_iterator
 
typedef unspecified_type Point_iterator
 Iterator over all points of a TriangulatedSurfaceMesh , its value type is Traits::Point_3. More...
 
typedef unspecified_type Point_const_iterator
 

Operations

Facet_const_iterator facets_begin ()
 iterator over all facets (excluding holes).
 
Facet_const_iterator facets_end ()
 past-the-end iterator.
 
Point_iterator points_begin ()
 iterator over all points.
 
Point_iterator points_end ()
 past-the-end iterator.
 

Member Typedef Documentation

Handle to a facet.

Model of the Handle concept.

Iterator over all mesh facets.

Model of the ForwardIterator concept.

Handle to a halfedge.

Model of the Handle concept.

Iterator over all points of a TriangulatedSurfaceMesh , its value type is Traits::Point_3.

Model of the ForwardIterator concept.

Handle to a vertex.

Model of the Handle concept.

Iterator over all vertices of a mesh.

Model of the ForwardIterator concept.