AlphaShapeVertex_2 Class Reference

#include <Concepts/AlphaShapeVertex_2.h>

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.

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.

Constructor & Destructor Documentation

AlphaShapeVertex_2() [1/3]

AlphaShapeVertex_2::AlphaShapeVertex_2

(

)

default constructor.

AlphaShapeVertex_2() [2/3]

AlphaShapeVertex_2::AlphaShapeVertex_2

(

Point

p

)

constructor setting the point.

AlphaShapeVertex_2() [3/3]

AlphaShapeVertex_2::AlphaShapeVertex_2	(	Point	p,
		const Face_handle &	ff
	)

constructor setting the point associated to and an incident face.

Member Function Documentation

get_range()

std::pair< FT, FT > AlphaShapeVertex_2::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.

set_range()

void AlphaShapeVertex_2::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.