\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 3D Alpha Shapes
AlphaShapeCell_3 Concept Reference

Definition

The concept AlphaShapeCell_3 describes the requirements for the base cell of an alpha shape.

Refines:

TriangulationCellBase_3, if the underlying triangulation of the alpha shape is a Delaunay triangulation.

RegularTriangulationCellBase_3, if the underlying triangulation of the alpha shape is a regular triangulation.

Periodic_3TriangulationDSCellBase_3, if the underlying triangulation of the alpha shape is a periodic triangulation.

Has Models:
CGAL::Alpha_shape_cell_base_3 (templated with the appropriate triangulation cell base class).
See also
CGAL::Alpha_status

Types

typedef unspecified_type NT
 A number type. More...
 
typedef unspecified_type Alpha_status_iterator
 An iterator with value type CGAL::Alpha_status<NT>.
 

Creation

 AlphaShapeCell_3 ()
 default constructor.
 
 AlphaShapeCell_3 (const Vertex_handle &v0, const Vertex_handle &v1, const Vertex_handle &v2, const Vertex_handle &v3)
 constructor setting the incident vertices.
 
 AlphaShapeCell_3 (const Vertex_handle &v0, const Vertex_handle &v1, const Vertex_handle &v2, const Vertex_handle &v3, const Cell_handle &n0, const Cell_handle &n1, const Cell_handle &n2, const Cell_handle &n3)
 constructor setting the incident vertices and the neighboring cells.
 

Access Functions

NT get_alpha ()
 Returns the alpha value of the cell.
 
Alpha_status_iterator get_facet_status (int i)
 Returns an iterator on the CGAL::Alpha_status<NT> of the facet i of the cell.
 

Modifiers

void set_alpha (const NT &alpha)
 Sets the critical value of the cell.
 
void set_facet_status (int i, Alpha_status_iterator as)
 Sets the iterator pointing to the CGAL::Alpha_status<NT> of the facet i of the cell.
 

Member Typedef Documentation

◆ NT

A number type.

Must be the same as the number type used in the traits class of the triangulation underlying the alpha shape.