Navigation: Up, Table of Contents, Bibliography, Index, Title Page

AlphaShapeTraits_3

Definition

The concept AlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying Delaunay triangulation of a basic alpha shape.

Generalizes

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 shapes provides the following.

Types

AlphaShapeTraits_3::NT
A number type compatible with the type used for the points coordinate.


AlphaShapeTraits_3::Compute_squared_radius_3
An object constructor able to compute the squared radius of the smallest circumsphere of 4 points p0, p1, p2, p3, the squared radius of the smallest circumsphere of 3 points p0, p1, p2, and the squared radius of smallest circumsphere of the points p0, p1.

Creation

AlphaShapeTraits_3 traits;
Default constructor.

Access Functions

Compute_squared_radius_3
traits.compute_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

Next: AlphaShapeVertex_3
Navigation: Table of Contents, Bibliography, Index, Title Page
The CGAL Project . Tue, December 21, 2004 .