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COMPGEOM
2006
ACM
16 years 25 days ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
COMPGEOM
2006
ACM
16 years 25 days ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
COMPGEOM
2006
ACM
16 years 25 days ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
COMPGEOM
2006
ACM
16 years 25 days ago
Provably good sampling and meshing of Lipschitz surfaces
In the last decade, a great deal of work has been devoted to the elaboration of a sampling theory for smooth surfaces. The goal was to ensure a good reconstruction of a given surf...
Jean-Daniel Boissonnat, Steve Oudot
COMPGEOM
2006
ACM
16 years 25 days ago
A fast k-means implementation using coresets
In this paper we develop an efficient implementation for a k-means clustering algorithm. The novel feature of our algorithm is that it uses coresets to speed up the algorithm. A ...
Gereon Frahling, Christian Sohler
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