A subset is convex if for any two points and in the set the line segment with endpoints and is contained in . The convex hull of a set is the smallest convex set containing . The convex hull of a set of points is a convex polytope with vertices in . A point in is an extreme point (with respect to ) if it is a vertex of the convex hull of .
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.
CGAL::Delaunay_d< R, Lifted_R >