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COMPGEOM
2006
ACM
14 years 2 months 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
COMPGEOM
2006
ACM
14 years 2 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
COMPGEOM
2006
ACM
14 years 2 months 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
14 years 2 months 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
14 years 7 days ago
I/O-efficient batched union-find and its applications to terrain analysis
Despite extensive study over the last four decades and numerous applications, no I/O-efficient algorithm is known for the union-find problem. In this paper we present an I/O-effic...
Pankaj K. Agarwal, Lars Arge, Ke Yi