Minkowski Sum of Polytopes Defined by Their Vertices
Langue
en
Article de revue
Ce document a été publié dans
Journal of Applied Mathematics and Physics (JAMP). 2015-01, vol. 3, n° 1, p. 62-67
Scientific Research Publishing
Résumé en anglais
Minkowski sums are of theoretical interest and have applications in fields related to industrial backgrounds. In this paper we focus on the specific case of summing polytopes as we want to solve the tolerance analysis ...Lire la suite >
Minkowski sums are of theoretical interest and have applications in fields related to industrial backgrounds. In this paper we focus on the specific case of summing polytopes as we want to solve the tolerance analysis problem described in [1]. Our approach is based on the use of linear programming and is solvable in polynomial time. The algorithm we developed can be implemented and parallelized in a very easy way.< Réduire
Mots clés en anglais
Minkowski Sum
Polytope
Computational Geometry
Linear Programming
Convex Hull
Origine
Importé de halUnités de recherche