\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - 3D Alpha Shapes
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AlphaShapeVertex_3 Concept Reference
Concepts

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).
See Also
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_status * get_alpha_status ()
 Returns a pointer the alpha status of the vertex.