#include <Concepts/FixedWeightedAlphaShapeTraits_3.h>

Definition

The concept FixedWeightedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape with fixed alpha value.

Refines: RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a regular triangulation
: Periodic_3RegularTriangulationTraits_3 if the underlying triangulation of the alpha shape is a periodic regular triangulation

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>`

typedef unspecified_type	Compare_weighted_squared_radius_3
	An object constructor able to compare the squared radius of the smallest sphere orthogonal to either four, three, two or one weighted point(s) to a given value of alpha.

Creation
	FixedWeightedAlphaShapeTraits_3 ()
	default constructor.

Access Functions
Compare_weighted_squared_radius_3	compare_weighted_squared_radius_3_object ()

Member Typedef Documentation

◆ Compare_weighted_squared_radius_3

typedef unspecified_type FixedWeightedAlphaShapeTraits_3::Compare_weighted_squared_radius_3

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

It provides:

Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 )
Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 )
Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 )
Comparison_result operator()(Weighted_point_3 )

◆ Comparison_result

typedef unspecified_type FixedWeightedAlphaShapeTraits_3::Comparison_result

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

Constructor & Destructor Documentation

◆ FixedWeightedAlphaShapeTraits_3()

FixedWeightedAlphaShapeTraits_3::FixedWeightedAlphaShapeTraits_3 ( )

default constructor.

Member Function Documentation

◆ compare_weighted_squared_radius_3_object()

Compare_weighted_squared_radius_3 FixedWeightedAlphaShapeTraits_3::compare_weighted_squared_radius_3_object ( )