dD Convex Hulls and Delaunay Triangulations
Reference Manual

A subset $$S ³ is convex if for any two points $$p and $$q in the set the line segment with endpoints $$p and $$q is contained in $$S. The convex hull of a set $$S is the smallest convex set containing $$S. The convex hull of a set of points $$P is a convex polytope with vertices in $$P. A point in $$P is an extreme point (with respect to $$P) if it is a vertex of the convex hull of $$P.

CGAL provides functions for computing convex hulls in two, three and arbitrary dimensions as well as functions for testing if a given set of points in is strongly convex or not. This chapter describes the class available for arbitrary dimensions and its companion class for computing the nearest and furthest side Delaunay triangulation.

7.4   Classified Reference Pages

Concepts

ConvexHullTraits_d
DelaunayLiftedTraits_d
DelaunayTraits_d

Classes

CGAL::Convex_hull_d_traits_3<R>
CGAL::Convex_hull_d<R>
CGAL::Delaunay_d< R, Lifted_R >

7.5   Alphabetical List of Reference Pages

ConvexHullTraits_d

Convex_hull_d<R>

Convex_hull_d_traits_3<R>

DelaunayLiftedTraits_d

DelaunayTraits_d

Delaunay_d< R, Lifted_R >