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Concept

WeightedAlphaShapeTraits_3

Definition

The concept WeightedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape.

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 basic alpha shapes provides the following.

Types

WeightedAlphaShapeTraits_3::FT
A number type compatible with the type used for the points coordinates.


WeightedAlphaShapeTraits_3::Compute_squared_radius_smallest_orthogonal_sphere_3
An object constructor able to compute the squared radius of the smallest sphere orthogonal to four weighted points p0, p1, p2, p3, and the squared radius of the smallest sphere orthogonal to three weighted points p0, p1, p2, and the squared radius of smallest sphere orthogonal to two weighted points p0, p1, and the squared radius of the smallest sphere orthogonal to a single point p0.

Creation

WeightedAlphaShapeTraits_3 wast;
default constructor.

Access Functions

Compute_squared_radius_smallest_orthogonal_sphere_3
wast.compute_squared_radius_smallest_orthogonal_sphere_3_object ()

Has Models

CGAL::Regular_triangulation_euclidean_traits_3<K>

Next: Weighted_alpha_shape_euclidean_traits_3<K>
Navigation: Up   Table of Contents   Package Overview   Bibliography   Index   Title   Acknowledging CGAL
CGAL Open Source Project. Release 4.2. 7 March 2013.