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Minkowski Sum of Polytopes Defined by Their Vertices

Minkowski Sum of Polytopes Defined by Their Vertices
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摘要 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. 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.
机构地区 University of Bordeaux
出处 《Journal of Applied Mathematics and Physics》 2015年第1期62-67,共6页 应用数学与应用物理(英文)
关键词 Computational Geometry POLYTOPE MINKOWSKI Sum Linear Programming CONVEX HULL Computational Geometry Polytope Minkowski Sum Linear Programming Convex Hull
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