CGAL 6.1.1 - 2D Triangulations on the Sphere

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TriangulationOnSphereVertexBase_2 Concept Reference
Reference Manual » Concepts

## Definition

Refines
  `TriangulationDSVertexBase_2`

The concept `TriangulationOnSphereVertexBase_2` describes the requirements for the vertex base class of a triangulation data structure to be plugged in a triangulation on the sphere. It refines the concept `TriangulationDSVertexBase_2`, adding geometric information: the vertex base of a triangulation stores a point.

Has models
  `CGAL::Triangulation_on_sphere_vertex_base_2<Traits,Vb>`

See also
  `TriangulationDataStructure_2`
  `TriangulationOnSphereFaceBase_2`

## Types
typedef unspecified_type | Point
| Must be the equivalent to the point type `Point_on_sphere_2` of the concept `TriangulationOnSphereTraits_2`.
typedef unspecified_type | Face_handle
| Must be the equivalent to the point type `Face_handle` of the triangulation.

## Creation
| TriangulationOnSphereVertexBase_2 (Point p)
| constructs a vertex whose geometric embedding is the point `p`.
| TriangulationOnSphereVertexBase_2 (Point p, Face_handle f)
| constructs a vertex whose geometric embedding is the point `p` and pointing to face `f`.

## Access Functions
Point | point () const
| returns the point.

## Setting
void | set_point (Point p)
| sets the point.
std::istream & | operator>> (std::istream &is, TriangulationOnSphereVertexBase_2 &v)
| inputs the non-combinatorial information given by the vertex: the point and other possible information.
std::ostream & | operator<< (std::ostream &os, const TriangulationOnSphereVertexBase_2 &v)
| outputs the non combinatorial operation given by the vertex: the point and other possible information.

## Constructor & Destructor Documentation

## ◆ TriangulationOnSphereVertexBase_2()

TriangulationOnSphereVertexBase_2::TriangulationOnSphereVertexBase_2 | ( | Point | p,
|  | Face_handle | f
| ) |  |

constructs a vertex whose geometric embedding is the point `p` and pointing to face `f`.

`Face_handle` is the type defined the triangulation data structure used in the Delaunay triangulation on the sphere.