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75
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CCCG
2006
14 years 10 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...
90
Voted
SSD
2007
Springer
146views Database» more  SSD 2007»
15 years 3 months ago
Blind Evaluation of Nearest Neighbor Queries Using Space Transformation to Preserve Location Privacy
In this paper we propose a fundamental approach to perform the class of Nearest Neighbor (NN) queries, the core class of queries used in many of the location-based services, withou...
Ali Khoshgozaran, Cyrus Shahabi
71
Voted
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
ESA
2008
Springer
126views Algorithms» more  ESA 2008»
14 years 11 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...
SPIRE
2005
Springer
15 years 2 months ago
Using the k-Nearest Neighbor Graph for Proximity Searching in Metric Spaces
Proximity searching consists in retrieving from a database, objects that are close to a query. For this type of searching problem, the most general model is the metric space, where...
Rodrigo Paredes, Edgar Chávez