CGAL 4.12 - 3D Alpha Shapes
AlphaShapeVertex_3 Concept Reference

## Definition

The concept AlphaShapeVertex_3 describes the requirements for the base vertex of an alpha shape.

Refines:

TriangulationVertexBase_3, if the underlying triangulation of the alpha shape is a Delaunay triangulation.

RegularTriangulationVertexBase_3, if the underlying triangulation of the alpha shape is a regular triangulation.

Periodic_3TriangulationDSVertexBase_3, if the underlying triangulation of the alpha shape is a periodic triangulation.

Has Models:
CGAL::Alpha_shape_vertex_base_3 (templated with the appropriate triangulation vertex base class).
CGAL::Alpha_status

## Types

typedef unspecified_type Point
Must be the same as the point type provided by the geometric traits class of the triangulation.

typedef unspecified_type Alpha_status
Must be CGAL::Alpha_status<NT> where NT is the number type used in the geometric traits class of the triangulation.

## Creation

AlphaShapeVertex_3 ()
default constructor.

AlphaShapeVertex_3 (Point p)
constructor setting the point.

AlphaShapeVertex_3 (Point p, const Cell_handle &c)
constructor setting the point and an incident cell.

## Modifiers

Alpha_statusget_alpha_status ()
Returns a pointer the alpha status of the vertex.