Minkowski sum of HV-polytopes in Rn
Language
en
Communication dans un congrès avec actes
This item was published in
4th Annual International Conference on Computational Mathematics, Computational Geometry and Statistics, 2015-01-26, Singapore.
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Computational Geometry
Convex Polytope
Minkowski Sum
Normal Fan
Polyhedrical Cone
Origin
Hal imported