WeightedAlphaShapeTraits_2 Concept Reference

Definition

The concept WeightedAlphaShapeTraits_2 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape.

Refines:

RegularTriangulationTraits_2

In addition to the requirements described in the concept RegularTriangulationTraits_2, the geometric traits class of a regular triangulation plugged in a basic alpha shapes provides the following.

Has Models:

All models of Kernel.

Projection traits such as CGAL::Projection_traits_xy_3<K>.

See also

CGAL::Exact_predicates_inexact_constructions_kernel (recommended kernel)

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

Creation
Only a default constructor is required. Note that further constructors can be provided.
	AlphaShapeTraits_2 ()
	A default constructor.

Constructions by function objects
Compute_squared_radius_smallest_orthogonal_circle_2	compute_squared_radius_smallest_orthogonal_circle_2_object ()
	Returns an object, which has to be able to compute the squared radius of the orthogonal circle of the points p0, p1, p2 or the squared radius of the smallest orthogonal circle of the points p0, p1, as FT.

Predicate by function object
Power_side_of_bounded_power_circle_2	power_side_of_bounded_power_circle_2_object ()
	Returns an object, which has to be able to compute the relative position of the point test to the smallest orthogonal circle of the points p0, p1.

Member Typedef Documentation

FT

typedef unspecified_type WeightedAlphaShapeTraits_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.