Teissandier, D. and Delos, V. (2011) Algorithm to Calculate the Minkowski Sums of 3-Polytopes Based on Normal Fans. Computer-Aided Design, 43, 1567-1576, http://dx.doi.org/10.1016/j.cad.2011.06.016

has been cited by the following article:

• TITLE: Minkowski Sum of Polytopes Defined by Their Vertices

  AUTHORS: Vincent Delos, Denis Teissandier

  KEYWORDS: Computational Geometry, Polytope, Minkowski Sum, Linear Programming, Convex Hull

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.1, January 28, 2015

  ABSTRACT: 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.