Zonoids, linear dependence, and size-biased distributions on the simplex

M Dall'Aglio, M Scarsini - Advances in Applied Probability, 2003 - cambridge.org
zonotopes. Since ZP (Y) is contained in the positive orthant and has 0 as vertex, we will need
to approximate it with zonotopes … approximating sequence of zonotopes with the rectangle […

Benchmarking on approaches to interval observation applied to robust fault detection

A Stancu, V Puig, P Cugueró, J Quevedo - International Workshop on …, 2003 - Springer
… Neumaier’s algorithms because it uses zonotopes for enclosing the uncertainty instead of
… and non contractive, the zonotope that includes the family of zonotopes at each time instant …

Application of computational geometry to multiuser detection in CDMA

G Manglani, AK Chaturvedi - IEEE transactions on …, 2006 - ieeexplore.ieee.org
… The set of extreme points of the hypercube corresponding to the extreme points of the
zonotope is denoted by set . Hence, the solution of the quadratic optimization problem can be ob…

[PDF][PDF] Teutoburgan Split Systems

KT Huber, JH Koolen, V Moulton - 2004 - mathsci.kaist.ac.kr
… splitdecomposable metric are zonotopes that are polytope isomorphic to … zonotope. It clearly
suffices to show that any maximal cell in T(d) is a zonotope, since every face of a zonotope

[PDF][PDF] Implicit bounding volumes and bounding volume hierarchies

A Nguyen - Doctor of Philosophy, Stanford University, 2006 - researchgate.net
… The first part of the dissertation studies the use of zonotopes (Minkowski sums of line seg…
, we show an O(nlog2 n) algorithm to compute the minimum area enclosing zonotope in IR …

Analyse der Zustandserreichbarkeit zur Fehlergrenzwertbestimmung in Hochauftriebssystemen (Reachability Analysis for the Determination of Monitoring Thresholds …

H Geilsdorf, C Raksch, U Carl - at-Automatisierungstechnik, 2007 - degruyter.com
… hier nun stellvertretend für die überapproximativen Verfahren die sogenannte zonotope
Approximation vorgestellt. Zonotope sind eine spezielle Klasse von Polytopen, die ursprünglich …

[BOOK][B] Some geometric inequalities in Minkowski spaces

Z Mustafaev - 2003 - search.proquest.com
… Thus, a simplex and a zonotope are both polytopes. A convex polytope in R d is a zonotope
if all its 2-dimensional faces are cen trally symmetric. An octahedron is not a zonotope, since …

The local Steiner problem in finite-dimensional normed spaces

KJ Swanepoel - Discrete & Computational Geometry, 2007 - Springer
… A zonotope is a Minkowski sum of closed segments, equivalently, a zonotope is the projection
of an n-cube onto a subspace. The zonotope determined by a subspace V of Rn is the …

Estimation d'état et diagnostic de systèmes à paramètres incertains–Approche intervalle

J Ragot, D Maquin, K Benothman… - … des Sciences et …, 2006 - hal.archives-ouvertes.fr
… le zonotope Dy,k,1 avec le polytope Dy,k,1. La même construction a été faite pour les
zonotopes issus des deux autres mod`eles. Afin de ne pas représenter les zonotopes obtenus `a …

[BOOK][B] Computing the continuous discretely

M Beck, S Robins - 2007 - Springer
… In Chapter 9, we study a concrete class of polytopes—projections of cubes, which go by the
name zonotopes—whose discrete volume is tractable and has neat connections to number …