… Several applications of Minkowski sum in modelling of zonotopes and surface patches in
the Euclidean space created as sums of two curves determined by point functions are given. …

… called a zonotope. It will be shown that the minimizer of ̂f is among the lower extreme points
of the zonotope, … Furthermore, exploiting the duality relation between a zonotope in a three-…

The kinematic sensitivity is a unit-consistent measure that has been recently proposed as a
mechanism performance index to compare robot architectures. This paper presents a robust …

… The importance of zonotopes in this book comes from the fact that they appear as the
support of an interesting class of special functions, the box splines. This will be discussed in …

… The key idea is to use an efficient algorithm for enumerating all vertices of a zonotope. …
From the zonotope construction to the Minkowski addition of convex polytopes. Journal of …

… turns out to be a Minkowski sum of a zonotope, a linear space, and a nonnegative orthant. …
minimal points of) a Minkowski sum of a zonotope, a linear space, and a nonnegative orthant. …

The volume and the number of lattice points of the permutohedron P n are given by certain
multivariate polynomials that have remarkable combinatorial properties. We give several …

This is the first of a series of papers on partition functions and the index theory of transversally
elliptic operators. In this paper we only discuss algebraic and combinatorial issues related …

… 16 that this image is a particular type of convex polytope called a zonotope. In Ref. 16,
the authors also propose a method to determine a representation of such a zonotope as the …

… the recently developed zonotope-based algorithms [12,1]. The main advantage of zonotopes
is that some important operations can be performed very efficiently over zonotopes, such as …