… Note that the zonotope q ⊕ SBd of theorem 5 can be … zonotope, and hence its complexity.
In order to reduce this effect, a lower order zonotope which bounds the obtained zonotope can …

… A Minkowski sum of (finitely many) line segments in Rn is called a zonotope (see [9,15,16]
for basic facts on zonotopes). We shall consider zonotopes that are sums of line segments of …

… construction of a zonotope". To add the ith segment zi to the Minkowski sum, we sweep
the current zonotope parallel to zi and then take the swept volume as the new zonotope. If we …

… The present paper focuses on the representation of domains by zonotopes, a particular
class of polytopes. More precisely, a zonotope is the image of a (unit) hypercube by a linear …

… A special case of stable random cc sets is the so-called countable stable random zonotopes
… these random zonotopes is rather complicated. Roughly speaking, a countable zonotope is …

… The method is based on the analysis of zonotopes representing the uncertainties. It leads
both to Boolean detection results and to an indicator representing the distance to the opposite …

… They are combinatorially equivalent under the usual connection between zonotopes, polar
zonotopes, and hyperplane arrangements. Finally, in Section 4, we give an application of our …

… with zonotopes in the plane, and more specifically, the inclusion relation between zonotopes
in the plane. Our purpose is to use only the implicit presentation of zonotopes as Minkowski …

We consider a problem of maximizing convex functionals over matroid bases. It is richly
expressive and captures certain quadratic assignment and clustering problems. While generally …

… As a consequence we find the zonotopes with a specified dimension and number of
zones which minimize or maximize the cd-index. Then we show that (L) has a convex ear …