Zonohedron

Known as: Zonohedra, Zonotope 
A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through 180°. Any… (More)
Wikipedia

Related topics

Related topics

17 relations
Box splineCatalan solidChamfer (geometry)Cuboid
(More)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Constrained zonotopes: A new tool for set-based estimation and fault detection
This article introduces a new class of sets, called constrained zonotopes, that can be used to enclose sets of interest for… (More)
  • figure 1
  • figure 2
  • figure 5
  • figure 3
  • figure 4
Is this relevant?
Highly Cited
2014
Highly Cited
2014
Online Verification of Automated Road Vehicles Using Reachability Analysis
An approach for formally verifying the safety of automated vehicles is proposed. Due to the uniqueness of each traffic situation… (More)
  • figure 2
  • figure 1
  • figure 3
  • figure 4
  • table I
Is this relevant?
Highly Cited
2008
Highly Cited
2008
Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
Given an initial set of a nonlinear system with uncertain parameters and inputs, the set of states that can possibly be reached… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2005
Highly Cited
2005
Guaranteed state estimation by zonotopes
This paper presents a new approach to guaranteed state estimation for non linear discrete-time systems with a bounded description… (More)
  • figure 1
  • figure 2
  • figure 3
Is this relevant?
Highly Cited
2005
Highly Cited
2005
Reachability of Uncertain Linear Systems Using Zonotopes
We present a method for the computation of reachable sets of uncertain linear systems. The main innovation of the method consists… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2004
Highly Cited
2004
Affine Arithmetic: Concepts and Applications
Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2004
Highly Cited
2004
From the zonotope construction to the Minkowski addition of convex polytopes
A zonotope is the Minkowski addition of line segments in Rd. The zonotope construction problem is to list all extreme points of a… (More)
  • figure 1
Is this relevant?
2001
2001
The Vector Partition Problem for Convex Objective Functions
The partition problem concerns the partitioning of a given set of n vectors in d-space into p parts to maximize an objective… (More)
Is this relevant?
Highly Cited
1998
Highly Cited
1998
Rigorously computed orbits of dynamical systems without the wrapping effect
A new method for rigorously computing orbits of discrete dynamical systems is introduced. High order zonotope enclosures of the… (More)
  • figure 1
  • figure 2
  • figure 3
  • table 1
  • figure 5
Is this relevant?
1990
1990
A Zonotope Associated with Graphical Degree Sequences
 
Is this relevant?