\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 3D Alpha Shapes

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AlphaShapeCell_3 Concept Reference
Concepts

## Definition

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

See Also
  `CGAL::Alpha_status`

Refines:
  `TriangulationCellBase_3`

Has Models:
  `CGAL::Alpha_shape_cell_base_3`

## 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

typedef unspecified_type AlphaShapeCell_3::NT

A number type.

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