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

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.