CGAL 5.6 - 3D Alpha Shapes
FixedWeightedAlphaShapeTraits_3 Concept Reference

## 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. More...

## Creation

FixedWeightedAlphaShapeTraits_3 ()
default constructor.

## Access Functions

Compare_weighted_squared_radius_3 compare_weighted_squared_radius_3_object ()

## ◆ 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 )