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» Zonotopes as bounding volumes
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SODA
2003
ACM
131views Algorithms» more  SODA 2003»
11 years 9 months ago
Zonotopes as bounding volumes
Zonotopes are centrally symmetric polytopes with a very special structure: they are the Minkowski sum of line segments. In this paper we propose to use zonotopes as bounding volum...
Leonidas J. Guibas, An Nguyen, Li Zhang
DM
2011
191views Education» more  DM 2011»
11 years 3 months ago
Notes on lattice points of zonotopes and lattice-face polytopes
Minkowski’s second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowsk...
Christian Bey, Martin Henk, Matthias Henze, Eva Li...
AUTOMATICA
2008
102views more  AUTOMATICA 2008»
11 years 8 months ago
A set-membership state estimation algorithm based on DC programming
This paper presents a new approach to guaranteed state estimation for nonlinear discrete-time systems with a bounded description of noise and parameters. The sets of states that a...
T. Alamo, J. M. Bravo, M. J. Redondo, Eduardo F. C...
AUTOMATICA
2006
73views more  AUTOMATICA 2006»
11 years 8 months ago
Robust MPC of constrained discrete-time nonlinear systems based on approximated reachable sets
A robust MPC for constrained nonlinear systems with uncertainties is presented. Outer bounds of the reachable sets of the system are used to predict the evolution of the system un...
J. M. Bravo, T. Alamo, Eduardo F. Camacho
EGH
2009
Springer
11 years 6 months ago
Spatial splits in bounding volume hierarchies
Martin Stich, Heiko Friedrich, Andreas Dietrich
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