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» Bounded-degree polyhedronization of point sets
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EJC
2011
13 years 5 months ago
Distributive lattices, polyhedra, and generalized flows
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
Stefan Felsner, Kolja B. Knauer
JCT
2011
108views more  JCT 2011»
13 years 5 months ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...
MP
2010
94views more  MP 2010»
13 years 9 months ago
MIR closures of polyhedral sets
We study the mixed-integer rounding (MIR) closures of polyhedral sets. The MIR closure of a polyhedral set is equal to its split closure and the associated separation problem is N...
Sanjeeb Dash, Oktay Günlük, Andrea Lodi
CAV
2008
Springer
161views Hardware» more  CAV 2008»
14 years 25 days ago
Constraint-Based Approach for Analysis of Hybrid Systems
Abstract. This paper presents a constraint-based technique for discovering a rich class of inductive invariants (boolean combinations of polynomial inequalities of bounded degree) ...
Sumit Gulwani, Ashish Tiwari
CVIU
2011
13 years 5 months ago
Sampled medial loci for 3D shape representation
The medial axis transform is valuable for shape representation as it is complete and captures part structure. However, its exact computation for arbitrary 3D models is not feasibl...
Svetlana Stolpner, Sue Whitesides, Kaleem Siddiqi