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COMPGEOM
2011
ACM
12 years 11 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
COMGEO
2008
ACM
13 years 7 months ago
Decomposing a simple polygon into pseudo-triangles and convex polygons
In this paper we consider the problem of decomposing a simple polygon into subpolygons that exclusively use vertices of the given polygon. We allow two types of subpolygons: pseud...
Stefan Gerdjikov, Alexander Wolff
TJS
2002
122views more  TJS 2002»
13 years 7 months ago
Optimal BSR Solutions to Several Convex Polygon Problems
Abstract. This paper focuses on BSR (Broadcasting with Selective Reduction) implementation of algorithms solving basic convex polygon problems. More precisely, constant time soluti...
Jean Frédéric Myoupo, David Sem&eacu...
JMMA
2002
90views more  JMMA 2002»
13 years 7 months ago
Implicit Convex Polygons
Convex polygons in the plane can be defined explicitly as an ordered list of vertices, or given implicitly, for example by a list of linear constraints. The latter representation h...
Francisco Gómez, Ferran Hurtado, Suneeta Ra...
GC
2007
Springer
13 years 7 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
COMPGEOM
1999
ACM
13 years 12 months ago
H-Walk: Hierarchical Distance Computation for Moving Convex Bodies
This paper presents the Hierarchical Walk, or H-Walk algorithm, which maintains the distance between two moving convex bodies by exploiting both motion coherence and hierarchical ...
Leonidas J. Guibas, David Hsu, Li Zhang
CEC
2009
IEEE
14 years 2 months ago
Towards an evolved lower bound for the most circular partition of a square
— We examine the problem of partitioning a square into convex polygons which are as circular as possible. Circular means that the polygon’s aspect ratio is supposed to be near
Claudia Obermaier, Markus Wagner