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» On polygons excluding point sets
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73
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CORR
2007
Springer
79views Education» more  CORR 2007»
14 years 9 months ago
Connecting Polygonizations via Stretches and Twangs
We show that the space of polygonizations of a fixed planar point set S of n points is connected by O(n2 ) “moves” between simple polygons. Each move is composed of a sequence...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke,...
SIAMDM
2010
123views more  SIAMDM 2010»
14 years 8 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
CCCG
2006
14 years 11 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
PSIVT
2007
Springer
110views Multimedia» more  PSIVT 2007»
15 years 3 months ago
Measuring Linearity of Ordered Point Sets
It is often practical to measure how linear a certain ordered set of points is. We are interested in linearity measures which are invariant to rotation, scaling, and translation. T...
Milos Stojmenovic, Amiya Nayak
97
Voted
GC
2007
Springer
14 years 9 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...