\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10.1 - 2D Triangulation
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TriangulationVertexBase_2 Concept Reference
Concepts

Definition

The concept TriangulationVertexBase_2 describes the requirements for the vertex base class of a triangulation data structure to be plugged in a basic, Delaunay or constrained triangulations.

The concept TriangulationVertexBase_2 refines the concept TriangulationDSVertexBase_2 adding geometric information: the vertex base of a triangulation stores a point.

Refines:
TriangulationDSVertexBase_2
Has Models:
CGAL::Triangulation_vertex_base_2<Traits,Vb>
See Also
TriangulationDataStructure_2
TriangulationDataStructure_2::Vertex
CGAL::Triangulation_vertex_base_2<Traits>

Types

typedef unspecified_type Point
 Must be the same as the point type TriangulationTraits_2::Point_2 defined by the geometric traits class of the triangulation.
 

Creation

 TriangulationVertexBase_2 (Point p)
 constructs a vertex embedded in point p.
 
 TriangulationVertexBase_2 (Point p, Face_handle f)
 constructs a vertex embedded in point p and pointing on face f.
 

Access Functions

Point point () const
 returns the point.
 

Setting

void set_point (Point p)
 sets the point.
 
istream & operator>> (istream &is, TriangulationVertexBase_2 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const TriangulationVertexBase_2 &v)
 Outputs the non combinatorial operation given by the vertex: the point and other possible information.