\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes
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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.