#include <Concepts/FixedAlphaShapeTraits_3.h>

Definition

The concept FixedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying Delaunay triangulation of a basic alpha shape with a fixed value alpha.

Refines:: DelaunayTriangulationTraits_3

In addition to the requirements described in the concept DelaunayTriangulationTraits_3, the geometric traits class of a Delaunay triangulation plugged in a basic alpha shape with fixed alpha value provides the following.

Has Models:: All models of Kernel.

See also: CGAL::Exact_predicates_inexact_constructions_kernel (recommended kernel)

Types
typedef unspecified_type	Comparison_result
	`CGAL::Comparison_result` or `Uncertain<CGAL::Comparison_result>` More...

typedef unspecified_type	Compare_squared_radius_3
	An object constructor able to compare the squared radius of the smallest circumscribing sphere of either four, three, two or one point(s) with a given value of alpha. More...

Creation
	FixedAlphaShapeTraits_3 ()
	Default constructor. More...

Access Functions
Compare_squared_radius_3	compare_squared_radius_3_object ()

Member Typedef Documentation

◆ Compare_squared_radius_3

typedef unspecified_type FixedAlphaShapeTraits_3::Compare_squared_radius_3

An object constructor able to compare the squared radius of the smallest circumscribing sphere of either four, three, two or one point(s) with a given value of alpha.

It provides:

Comparison_result operator()(Point_3,Point_3,Point_3,Point_3)
Comparison_result operator()(Point_3,Point_3,Point_3)
Comparison_result operator()(Point_3,Point_3)
Comparison_result operator()(Point_3)

◆ Comparison_result

typedef unspecified_type FixedAlphaShapeTraits_3::Comparison_result

CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>

Constructor & Destructor Documentation

◆ FixedAlphaShapeTraits_3()

FixedAlphaShapeTraits_3::FixedAlphaShapeTraits_3 ( )

Default constructor.

Member Function Documentation

◆ compare_squared_radius_3_object()

Compare_squared_radius_3 FixedAlphaShapeTraits_3::compare_squared_radius_3_object ( )