55 citations · 81 across the 4 of their papers we have counts for
5 papers · 1 filter
Adapting polytopes dimension for managing degrees of freedom in tolerancing analysis
Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos
In tolerancing analysis, geometrical or contact specifications can be represented by polytopes. Due to the degrees of invariance of surfaces and that of freedom of joints, these op…
Tolerance Analysis by Polytopes
Lazhar Homri, Denis Teissandier, Alex Ballu
To determine the relative position of any two surfaces in a system, one approach is to useoperations (Minkowski sum and intersection) on sets of constraints. These constraints arem…
Minkowski sum of HV-polytopes in Rn
Vincent Delos, Denis Teissandier
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…
Minkowski Sum of Polytopes Defined by Their Vertices
Vincent Delos, Denis Teissandier
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…
Operations on polytopes: application to tolerance analysis
Denis Teissandier, Vincent Delos, Yves Couétard
This article presents numerical methods in order to solve problems of tolerance analysis. A geometric specification, a contact specification and a functional requirement can be res…