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» On the set multi-cover problem in geometric settings
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FOCS
2009
IEEE
14 years 3 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...
ICPR
2000
IEEE
14 years 10 months ago
Using Geometric Constraints for Matching Disparate Stereo Views of 3D Scenes Containing Planes
Several vision tasks rely upon the availability of sets of corresponding features among images. This paper presents a method which, given some corresponding features in two stereo...
Manolis I. A. Lourakis, Stavros V. Tzurbakis, Anto...
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 9 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
ICALP
1992
Springer
14 years 1 months ago
On Nearest-Neighbor Graphs
The "nearest neighbor" relation, or more generally the "k nearest neighbors" relation, defined for a set of points in a metric space, has found many uses in co...
Mike Paterson, F. Frances Yao
DCOSS
2009
Springer
14 years 3 months ago
Cheap or Flexible Sensor Coverage
We consider dual classes of geometric coverage problems, in which disks, corresponding to coverage regions of sensors, are used to cover a region or set of points in the plane. The...
Amotz Bar-Noy, Theodore Brown, Matthew P. Johnson,...