\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - 3D Alpha Shapes
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WeightedAlphaShapeTraits_3 Concept Reference
Concepts

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.

Has Models:
CGAL::Regular_triangulation_euclidean_traits_3<K>

Types

typedef unspecified_type FT
 A number type compatible with the type used for the points coordinates.
 
typedef unspecified_type 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 ()
 default constructor.
 

Access Functions

Compute_squared_radius_smallest_orthogonal_sphere_3 compute_squared_radius_smallest_orthogonal_sphere_3_object ()