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CGAL 6.0 - 3D Convex Hulls
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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. | |
| bool CGAL::is_strongly_convex_3 | ( | PolygonMesh & | pm, |
| const Traits & | traits = Default_traits |
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#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).
| 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.