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» On Approximating the Radii of Point Sets in High Dimensions
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STOC
1998
ACM
190views Algorithms» more  STOC 1998»
13 years 12 months ago
Efficient Search for Approximate Nearest Neighbor in High Dimensional Spaces
We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vecto...
Eyal Kushilevitz, Rafail Ostrovsky, Yuval Rabani
PODS
2000
ACM
120views Database» more  PODS 2000»
13 years 11 months ago
Indexing the Edges - A Simple and Yet Efficient Approach to High-Dimensional Indexing
In this paper, we propose a new tunable index scheme, called iMinMax , that maps points in high dimensional spaces to single dimension values determined by their maximum or minimu...
Beng Chin Ooi, Kian-Lee Tan, Cui Yu, Stépha...
TVCG
2010
152views more  TVCG 2010»
13 years 6 months ago
On the Fractal Dimension of Isosurfaces
—A (3D) scalar grid is a regular n1 × n2 × n3 grid of vertices where each vertex v is associated with some scalar value sv. Applying trilinear interpolation, the scalar grid de...
Marc Khoury, Rephael Wenger
STOC
2002
ACM
103views Algorithms» more  STOC 2002»
14 years 8 months ago
Approximate clustering via core-sets
In this paper, we show that for several clustering problems one can extract a small set of points, so that using those core-sets enable us to perform approximate clustering effici...
Mihai Badoiu, Sariel Har-Peled, Piotr Indyk
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 7 months ago
Fast Approximation of High-Order Voronoi Diagrams and Distance Transforms on the GPU
We present a graphics hardware implementation of the tangent-plane algorithm for computing the kth-order Voronoi diagram of a set of point sites in image space. Correct and effici...
Ian Fischer, Craig Gotsman