AlphaShapeVertex_2 Concept Reference

Definition

The concept AlphaShapeVertex_2 describes the requirements for the base vertex of an alpha shape.

Refines:

TriangulationVertexBase_2, if the underlying triangulation of the alpha shape is a Delaunay triangulation.

RegularTriangulationVertexBase_2, if the underlying triangulation of the alpha shape is a regular triangulation.

Periodic_2TriangulationVertexBase_2, if the underlying triangulation of the alpha shape is a periodic triangulation.

Has Models:

CGAL::Alpha_shape_vertex_base_2 (templated with the appropriate triangulation vertex base class).

Types
typedef unspecified_type	FT
	A coordinate type. More...

Creation
	AlphaShapeVertex_2 ()
	default constructor.
	AlphaShapeVertex_2 (Point p)
	constructor setting the point.
	AlphaShapeVertex_2 (Point p, const Face_handle &ff)
	constructor setting the point associated to and an incident face.

Access Functions
std::pair< FT, FT >	get_range ()
	returns two alpha values \( \alpha_1 \leq\alpha_2\), such as for \( \alpha\) between \( \alpha_1\) and \( \alpha_2\), the vertex is attached but singular, and for \( \alpha\) upper \( \alpha_2\), the vertex is regular.

Modifiers
void	set_range (std::pair< FT, FT > I)
	sets the alpha values \( \alpha_1 \leq\alpha_2\), such as for \( \alpha\) between \( \alpha_1\) and \( \alpha_2\), the vertex is attached but singular, and for \( \alpha\) upper \( \alpha_2\), the vertex is regular.

Member Typedef Documentation

FT

typedef unspecified_type AlphaShapeVertex_2::FT

A coordinate type.

The type must provide a copy constructor, assignment, comparison operators, negation, multiplication, division and allow the declaration and initialization with a small integer constant (cf. requirements for number types). An obvious choice would be coordinate type of the point class.