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STOC
2006
ACM
138views Algorithms» more  STOC 2006»
15 years 10 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
ESA
2008
Springer
126views Algorithms» more  ESA 2008»
14 years 12 months ago
Space-Time Tradeoffs for Proximity Searching in Doubling Spaces
Abstract. We consider approximate nearest neighbor searching in metric spaces of constant doubling dimension. More formally, we are given a set S of n points and an error bound &g...
Sunil Arya, David M. Mount, Antoine Vigneron, Jian...
FOCS
2003
IEEE
15 years 3 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
15 years 2 months ago
Geometric Spanners for Weighted Point Sets
Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
CORR
1999
Springer
222views Education» more  CORR 1999»
14 years 9 months ago
Analysis of approximate nearest neighbor searching with clustered point sets
Abstract. Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these poi...
Songrit Maneewongvatana, David M. Mount