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CCCG
2006
15 years 6 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...
SSD
2007
Springer
146views Database» more  SSD 2007»
15 years 11 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
STOC
2002
ACM
119views Algorithms» more  STOC 2002»
16 years 5 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»
15 years 6 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 10 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