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ALGORITHMICA
1998
143views more  ALGORITHMICA 1998»
13 years 7 months ago
On Minimum-Area Hulls
Abstract. We study some minimum-area hull problems that generalize the notion of convex hull to starshaped and monotone hulls. Specifically, we consider the minimum-area star-shap...
Esther M. Arkin, Yi-Jen Chiang, Martin Held, Josep...
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...
CG
2002
Springer
13 years 7 months ago
Robust adaptive polygonal approximation of implicit curves
We present an algorithm for computing a robust adaptive polygonal approximation of an implicit curve in the plane. The approximation is adapted to the geometry of the curve because...
Hélio Lopes, João Batista S. de Oliv...
COMPGEOM
1991
ACM
13 years 11 months ago
The Two Guards Problem
Given a simple polygon in the plane with two distinguished vertices, s and g, is it possible for two guards to simultaneously walk along the two boundary chains from s to g in suc...
Christian Icking, Rolf Klein
FCS
2006
13 years 9 months ago
A Theoretical Study of Parallel Voronoi Diagram
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
Rashid Muhammad