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COMPGEOM
2007
ACM
13 years 11 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
WADS
2007
Springer
106views Algorithms» more  WADS 2007»
14 years 1 months ago
Maximizing Maximal Angles for Plane Straight-Line Graphs
Let G = (S, E) be a plane straight-line graph on a finite point set S ⊂ R2 in general position. The incident angles of a point p ∈ S in G are the angles between any two edges ...
Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, ...
ESA
2005
Springer
105views Algorithms» more  ESA 2005»
14 years 26 days ago
Matching Point Sets with Respect to the Earth Mover's Distance
Let A and B be two sets of m resp. n weighted points in the plane, with m ≤ n. We present (1 + ) and (2+ )-approximation algorithms for the minimum Euclidean Earth Mover’s Dis...
Sergio Cabello, Panos Giannopoulos, Christian Knau...
3DPVT
2004
IEEE
107views Visualization» more  3DPVT 2004»
13 years 11 months ago
An Easy Viewer for Out-of-Core Visualization of Huge Point-Sampled Models
In this paper, we propose a viewer for huge point-sampled models by combining out-of-core technologies with view-dependent level-of-detail (LOD) control. This viewer is designed o...
Fang Meng, Hongbin Zha
COMPGEOM
2010
ACM
14 years 12 days ago
Points with large quadrant-depth
We characterize the set of all pairs (a, b) such that for every set P of n points in general position in R2 there always exists a point p ∈ P and two opposite quadrants determin...
Roel Apfelbaum, Itay Ben-Dan, Stefan Felsner, Rom ...