FixedAlphaShapeTraits_3

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.

Types

FixedAlphaShapeTraits_3::Comparison_result
CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>


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)

Creation

FixedAlphaShapeTraits_3 traits;
Default constructor.

Access Functions

Compare_squared_radius_3 traits.compare_squared_radius_3_object ()

Has Models

All CGAL kernels.
CGAL::Exact_predicates_inexact_constructions_kernel (recommended)
CGAL::Exact_predicates_exact_constructions_kernel
CGAL::Filtered_kernel
CGAL::Cartesian
CGAL::Simple_cartesian
CGAL::Homogeneous
CGAL::Simple_homogeneous