CGAL 5.1 - 3D Alpha Shapes
FixedWeightedAlphaShapeTraits_3 Class Reference

#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

In addition to the requirements described in the concept RegularTriangulationTraits_3, the geometric traits class of a regular triangulation plugged in a weighted 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_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. More...
 

Creation

 FixedWeightedAlphaShapeTraits_3 ()
 default constructor. More...
 

Access Functions

Compare_weighted_squared_radius_3 compare_weighted_squared_radius_3_object ()
 

Member Typedef Documentation

◆ 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

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 ( )