CGAL 6.1.1 - 3D Alpha Shapes

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FixedWeightedAlphaShapeTraits_3 Concept Reference
Reference Manual » Concepts

## 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 )`