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COMPUTING
2004
172views more  COMPUTING 2004»
13 years 4 months ago
The Convex Hull of Freeform Surfaces
We present an algorithm for computing the convex hull of freeform rational surfaces. The convex hull problem is reformulated as one of finding the zero-sets of polynomial equation...
Joon-Kyung Seong, Gershon Elber, John K. Johnstone...
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 5 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
ANOR
2005
131views more  ANOR 2005»
13 years 5 months ago
Projection, Lifting and Extended Formulation in Integer and Combinatorial Optimization
Abstract. This is an overview of the significance and main uses of projection, lifting and extended formulation in integer and combinatorial optimization. Its first two sections de...
Egon Balas
SIAMDM
2008
119views more  SIAMDM 2008»
13 years 5 months ago
On the Graph Bisection Cut Polytope
Given a graph G = (V, E) with node weights v N {0}, v V , and some number F N{0}, the convex hull of the incidence vectors of all cuts (S), S V with (S) F and (V \ S) F is ...
Michael Armbruster, Christoph Helmberg, Marzena F&...
MP
2008
99views more  MP 2008»
13 years 5 months ago
Compact formulations as a union of polyhedra
We explore one method for finding the convex hull of certain mixed integer sets. The approach is to break up the original set into a small number of subsets, find a compact polyhed...
Michele Conforti, Laurence A. Wolsey
JCO
2008
153views more  JCO 2008»
13 years 5 months ago
A quadratic lower bound for colourful simplicial depth
We show that any point in the convex hull of each of (d + 1) sets of (d + 1) points in Rd is contained in at least (d + 2)2 /4 simplices with one vertex from each set.
Tamon Stephen, Hugh Thomas
DCG
2010
91views more  DCG 2010»
13 years 5 months ago
The Contact Polytope of the Leech Lattice
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we reveal the face structure of the contact polytope of the Leech lattice. We classify i...
Mathieu Dutour Sikiric, Achill Schürmann, Fra...
DCG
2010
118views more  DCG 2010»
13 years 5 months ago
Recurrence Relationships for the Mean Number of Faces and Vertices for Random Convex Hulls
: This paper studies the convex hull of n random points in Rd. A recently-proved topological identity of the author is used in combination with identities of Efron and Buchta to fi...
Richard Cowan
DCG
2010
71views more  DCG 2010»
13 years 5 months ago
Convex Hulls of Orbits and Orientations of a Moving Protein Domain
We study the facial structure and Carath
Marco Longinetti, Luca Sgheri, Frank Sottile
MVA
1994
13 years 6 months ago
A Procedure for Segmenting Touching Numbers in Cadastral Maps
We present a procedure to split (or segment) touching numerals. We are neither assuming a dominant orientation for the text direction nor long character strings. The basic idea is...
Gladys Monagan