… Geometrically, the constraint of this optimization problem forms the envelope of a zonotope
(a special type of polytope) in R6 , which will be referred to as P6 (K) ≡ {x ∈ R6 | ‖Kx‖∞ = …

In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is …

… In general, Πd is a cubical zonotope with d + 1 zones, which can be written as conv([0, 1]d
∪ [−1, 0]d). The number of its pseudo-vertices equals 2d − 2. …

… The geometric idea behind our approach is that the Newton polytope of (1.22) is a zonotope
and we are summing over its lattice points. Definitions for these geometric objects are given …

We study degree sequences for simplicial posets and polyhedral complexes, generalizing
the well-studied graphical degree sequences. Here we extend the more common …

B-splines are attractive basis functions for the continuous-domain representation of biomedical
images and volumes. In this paper, we prove that the extended family of box splines are …

… Zonoids are the limits, in the Hausdorff sense, of zonotopes, ie, of vector sums of finitely
many line segments. … ⊂ K with 1 ≤ i ≤ n is the zonotope defined by …

Collision detection on industrial digital mock-up is one of the challenging problems for real-time
interaction in virtual reality applications. The fast increase of graphics hardware …

In these notes we determine the finiteness length of the groups G(O_S) where G is an F_q-isotropic,
connected, noncommutative, almost simple F_q-group and O_S is one of F_q[t], F_q[…

… В работах [3, 4, 5] рассмотрены приближения множеств решений систем ОДУ
эллипсоидами, в [6] для представления множеств решений используются зонотопы [zonotope]. …