The function is_strongly_convex_3 determines if the vertices of a given polyhedron represents a strongly convex set of points or not. A set of points is said to be strongly convex if it consists of only extreme points (i.e., vertices of the convex hull).
#include <CGAL/convexity_check_3.h>
 

 
determines if the set of vertices of the polyhedron P represent
a strongly convex set of points or not.

The default traits class is the kernel in which the type Polyhedron_3::Point_3 is defined.
CGAL::is_ccw_strongly_convex_2
CGAL::is_cw_strongly_convex_2
This function implements the tests described in [MNS^{+}96] to determine convexity and requires O(e + f) time for a polyhedron with e edges and f faces.