CGAL 5.5 - 3D Convex Hulls
Convexity Checking

## Functions

template<class PolygonMesh , class Traits >
bool CGAL::is_strongly_convex_3 (PolygonMesh &pm, const Traits &traits=Default_traits)
determines if the vertices of a given polyhedron represents a strongly convex set of points or not. More...

## ◆ is_strongly_convex_3()

template<class PolygonMesh , class Traits >
 bool CGAL::is_strongly_convex_3 ( PolygonMesh & pm, const Traits & traits = Default_traits )

#include <CGAL/convexity_check_3.h>

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).

Template Parameters
 PolygonMesh must be a model of the conceptFaceListGraph. Traits must be a model of the concept IsStronglyConvexTraits_3.

Implementation

This function implements the tests described in [2] to determine convexity and requires $$O(e + f)$$ time for a polyhedron with $$e$$ edges and $$f$$ faces.