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» Algorithms for Proximity Problems on Colored Point Sets
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CCCG
2006
13 years 6 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
APPROX
2010
Springer
160views Algorithms» more  APPROX 2010»
13 years 5 months ago
Proximity Algorithms for Nearly-Doubling Spaces
We introduce a new problem in the study of doubling spaces: Given a point set S and a target dimension d , remove from S the fewest number of points so that the remaining set has d...
Lee-Ad Gottlieb, Robert Krauthgamer
SIAMJO
2010
92views more  SIAMJO 2010»
13 years 2 days ago
Inexact Proximal Point Methods for Variational Inequality Problems
We present a new family of proximal point methods for solving monotone variational inequalities. Our algorithm has a relative error tolerance criterion in solving the proximal subp...
Regina Sandra Burachik, Joydeep Dutta
DAM
2011
13 years 9 days ago
Noisy colored point set matching
In this paper we tackle the problem of matching two colored point sets in R3 under the bottleneck distance. First we present an exact matching algorithm that requires the computat...
Yago Diez, Joan Antoni Sellarès