Abstract: This paper presents an algorithm to determine whether a point-set composed of n-points is in the polyhedron or not-which is called the convex hull method. With this method, it is not ...

Abstract: We present an original approach for the computation of the Minkowski sum of a non-convex polyhedron without fold and a convex polyhedron, without decomposition and union steps-that ...

This repository showcases my self-implemented 3D Convex Hull algorithm, crafted during my studies in computational geometry. The Convex Hull, a cornerstone of computational geometry, emerges as the ...

The three known classes of convex polyhedron with equal edge lengths and polyhedral symmetry--tetrahedral, octahedral, and icosahedral--are the 5 Platonic polyhedra, the 13 Archimedean ...

Adjacency properties of extreme points of a convex polyhedron are discussed. In mathematical programming we are quite often faced with problems of characterizing the ...

The Greeks described two classes of convex equilateral polyhedron with polyhedral symmetry, the Platonic (including the tetrahedron, octahedron, and icosahedron) and the Archimedean (including the ...

For a certain computation with CGAL (4.7), package Nef_polyhedron (Kernel EPEC), I form the union of a large number of Nef_polyhedron_3 objects N1,...,Nk. Every Nj is a (not necessarily convex) ...