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Christophe Weibel

Cette personne a quitté l’EPFL

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Publications associées (4)

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Minkowski sums of polytopes : combinatorics and computation

Christophe Weibel

Minkowski sums are a very simple geometrical operation, with applications in many different fields. In particular, Minkowski sums of polytopes have shown to be of interest to both industry and the academic world. This thesis presents a study of these sums, ...

EPFL2007

Computing faces up to k dimensions of a Minkowski sum of polytopes

Christophe Weibel

We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R^d. An algorithm for listing all faces of dimension up to j is presented, for any given 0

2005

A linear equation for Minkowski sums of polytopes relatively in general position

Christophe Weibel

The objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the sum can be attained by this family. We present a new linear equation that is sa ...

2010

f-vectors of Minkowski additions of convex polytopes

Christophe Weibel

The objective of this paper is to present two types of results on Minkowski sums of convex polytopes. The first is about a special class of polytopes we call perfectly centered and the combinatorial properties of the Minkowski sum with their own dual. In p ...

2007