Title
Fast and versatile algorithm for nearest neighbor search based on a lower bound tree
Abstract
In this paper, we present a fast and versatile algorithm which can rapidly perform a variety of nearest neighbor searches. Efficiency improvement is achieved by utilizing the distance lower bound to avoid the calculation of the distance itself if the lower bound is already larger than the global minimum distance. At the preprocessing stage, the proposed algorithm constructs a lower bound tree (LB-tree) by agglomeratively clustering all the sample points to be searched. Given a query point, the lower bound of its distance to each sample point can be calculated by using the internal node of the LB-tree. To reduce the amount of lower bounds actually calculated, the winner-update search strategy is used for traversing the tree. For further efficiency improvement, data transformation can be applied to the sample and the query points. In addition to finding the nearest neighbor, the proposed algorithm can also (i) provide the k-nearest neighbors progressively; (ii) find the nearest neighbors within a specified distance threshold; and (iii) identify neighbors whose distances to the query are sufficiently close to the minimum distance of the nearest neighbor. Our experiments have shown that the proposed algorithm can save substantial computation, particularly when the distance of the query point to its nearest neighbor is relatively small compared with its distance to most other samples (which is the case for many object recognition problems).
Year
DOI
Venue
2007
10.1016/j.patcog.2005.08.016
Pattern Recognition
Keywords
Field
DocType
minimum distance,sample point,nearest neighbor search,global minimum distance,efficiency improvement,query point,lower bound tree,specified distance threshold,nearest neighbor,lower bound,versatile algorithm,proposed algorithm,k nearest neighbor,data transformation,pattern recognition,object recognition
Fixed-radius near neighbors,Ball tree,Best bin first,Nearest neighbor graph,Artificial intelligence,Nearest neighbor search,k-nearest neighbors algorithm,R-tree,Pattern recognition,Algorithm,Cover tree,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
40
2
Pattern Recognition
Citations 
PageRank 
References 
21
0.85
31
Authors
4
Name
Order
Citations
PageRank
Yong-Sheng Chen131430.12
Yi-Ping Hung21743168.25
Ting-Fang Yen327815.34
Chiou-Shann Fuh464756.08