\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10 - 3D Triangulations
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RegularTriangulationVertexBase_3 Concept Reference
Concepts

Definition

The vertex base used by the geometric triangulation must store a point. So we list here the additional requirements compared to a vertex base usable for the triangulation data structure.

Refines:
TriangulationDSVertexBase_3
Has Models:
CGAL::Regular_triangulation_vertex_base_3
See Also
RegularTriangulationCellBase_3

Types

typedef unspecified_type Point
 Must be the same as the point type RegularTriangulationTraits_3::Weighted_point_3 defined by the geometric traits class of the triangulation.
 

Creation

 RegularTriangulationVertexBase_3 (const Point &p)
 Constructs a vertex whose geometric embedding is point p.
 
 RegularTriangulationVertexBase_3 (const Point &p, Cell_handle c)
 Constructs a vertex embedding the point p and pointing to cell c.
 

Access Functions

Point point () const
 Returns the point.
 

Setting

void set_point (Point p)
 Sets the point.
 

I/O

istream & operator>> (istream &is, RegularTriangulationVertexBase_3 &v)
 Inputs the non-combinatorial information given by the vertex: the point and other possible information.
 
ostream & operator<< (ostream &os, const RegularTriangulationVertexBase_3 &v)
 Outputs the non-combinatorial information given by the vertex: the point and other possible information.