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» Approximate Nearest Neighbor Queries in Fixed Dimensions
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SODA
1993
ACM
202views Algorithms» more  SODA 1993»
14 years 11 months ago
Approximate Nearest Neighbor Queries in Fixed Dimensions
Given a set of n points in d-dimensional Euclidean space, S ⊂ Ed , and a query point q ∈ Ed , we wish to determine the nearest neighbor of q, that is, the point of S whose Euc...
Sunil Arya, David M. Mount
FOCS
2006
IEEE
15 years 3 months ago
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
Alexandr Andoni, Piotr Indyk
CCCG
2006
14 years 11 months ago
(Approximate) Conic Nearest Neighbors and the induced Voronoi Diagram
For a given point set in Euclidean space we consider the problem of finding (approximate) nearest neighbors of a query point but restricting only to points that lie within a fixed...
Stefan Funke, Theocharis Malamatos, Domagoj Matije...
STOC
2002
ACM
119views Algorithms» more  STOC 2002»
15 years 9 months ago
Space-efficient approximate Voronoi diagrams
Given a set S of n points in IRd , a (t, )-approximate Voronoi diagram (AVD) is a partition of space into constant complexity cells, where each cell c is associated with t represe...
Sunil Arya, Theocharis Malamatos, David M. Mount
CCCG
2008
14 years 11 months ago
Achieving Spatial Adaptivity while Finding Approximate Nearest Neighbors
We present the first spatially adaptive data structure that answers approximate nearest neighbor (ANN) queries to points that reside in a geometric space of any constant dimension...
Jonathan Derryberry, Don Sheehy, Maverick Woo, Dan...