Fast K Nearest Neighbors Search Algorithm Based on Wavelet Transform

Yu-Long QIAO
Zhe-Ming LU
Sheng-He SUN

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A    No.8    pp.2239-2243
Publication Date: 2006/08/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.8.2239
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Vision
Keyword: 
k nearest neighbors search,  wavelet transform,  texture image classification,  vector quantization,  image retrieval,  

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Summary: 
This letter proposes a fast k nearest neighbors search algorithm based on the wavelet transform. This technique exploits the important information of the approximation coefficients of the transform coefficient vector, from which we obtain two crucial inequalities that can be used to reject those vectors for which it is impossible to be k nearest neighbors. The computational complexity for searching for k nearest neighbors can be largely reduced. Experimental results on texture classification verify the effectiveness of our algorithm.


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