Definition

Refines:: TriangulationFaceBase_2

Has Models:: CGAL::Alpha_shape_face_base_2

Types
typedef unspecified_type	Interval_3
	A container type to get (and put) the three special values ( $\alpha_1, \alpha_2, \alpha_3$ ) associated with an alpha shape edge.

typedef unspecified_type	FT
	A coordinate type. More...

Creation
	AlphaShapeFace_2 ()
	default constructor.

	AlphaShapeFace_2 (const Vertex_handle &v0, const Vertex_handle &v1, const Vertex_handle &v2)
	constructor setting the incident vertices.

	AlphaShapeFace_2 (const Vertex_handle &v0, const Vertex_handle &v1, const Vertex_handle &v2, const Face_handle &n0, const Face_handle &n1, const Face_handle &n2)
	constructor setting the incident vertices and the neighboring faces.

Access Functions
Interval_3	get_ranges (const int &i)
	returns the interval associated with the edge indexed with $i$ , which contains three alpha values $\alpha_1 \leq\alpha_2 \leq\alpha_3$ , such as for $\alpha$ between $\alpha_1$ and $\alpha_2$ , the edge indexed with $i$ is attached but singular, for $\alpha$ between $\alpha_2$ and $\alpha_3$ , the edge is regular, and for $\alpha$ greater than $\alpha_3$ , the edge is interior.

FT	get_alpha ()
	return the alpha value, under which the alpha shape contains the face.

Modifiers
void	set_ranges (const int &i, const Interval_3 &V)
	sets the interval associated with the edge indexed with $i$ , which contains three alpha values $\alpha_1 \leq\alpha_2 \leq\alpha_3$ , such as for $\alpha$ between $\alpha_1$ and $\alpha_2$ , the edge indexed with $i$ is attached but singular, for $\alpha$ between $\alpha_2$ and $\alpha_3$ , the edge is regular, and for $\alpha$ greater than $\alpha_3$ , the edge is interior.

void	set_alpha (FT A)
	sets the alpha value, under which the alpha shape contains the face.

Member Typedef Documentation

typedef unspecified_type AlphaShapeFace_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

Definition

Types

Creation

Access Functions

Modifiers

Member Typedef Documentation