Minkowski sum of HV-polytopes in Rn
Langue
en
Communication dans un congrès avec actes
Ce document a été publié dans
4th Annual International Conference on Computational Mathematics, Computational Geometry and Statistics, 2015-01-26, Singapore.
Résumé en anglais
Minkowski sums cover a wide range of applications in many different fields like algebra, morphing, robotics, mechanical CAD/CAM systems ... This paper deals with sums of polytopes in a n dimensional space provided that ...Lire la suite >
Minkowski sums cover a wide range of applications in many different fields like algebra, morphing, robotics, mechanical CAD/CAM systems ... This paper deals with sums of polytopes in a n dimensional space provided that both H-representation and V-representation are available i.e. the polytopes are described by both their half-spaces and vertices. The first method uses the polytope normal fans and relies on the ability to intersect dual polyhedral cones. Then we introduce another way of considering Minkowski sums of polytopes based on the primal polyhedral cones attached to each vertex.< Réduire
Mots clés en anglais
Computational Geometry
Convex Polytope
Minkowski Sum
Normal Fan
Polyhedrical Cone
Origine
Importé de halUnités de recherche