Efficient k-nearest neighbor queries with the Signature Quadratic Form Distance

A frequently encountered query type in multimedia databases is the k-nearest neighbor query which finds the k-nearest neighbors of a given query. To speed up such queries and to meet the user requirements in low response time, approximation techniques play an important role. In this paper, we present an efficient approximation technique applicable to distance measures defined over flexible feature representations, i.e. feature signatures. We apply our approximation technique to the recently proposed Signature Quadratic Form Distance applicable to feature signatures. We performed our experiments on numerous image databases, gathering k-nearest neighbor query rankings in significantly low computation time with an average speed-up factor of 13.

[1]  Mark J. Huiskes,et al.  The MIR flickr retrieval evaluation , 2008, MIR '08.

[2]  James Lee Hafner,et al.  Efficient Color Histogram Indexing for Quadratic Form Distance Functions , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Christos Faloutsos,et al.  Efficient and effective Querying by Image Content , 1994, Journal of Intelligent Information Systems.

[4]  Sameer A. Nene,et al.  Columbia Object Image Library (COIL100) , 1996 .

[5]  Pietro Perona,et al.  Learning Generative Visual Models from Few Training Examples: An Incremental Bayesian Approach Tested on 101 Object Categories , 2004, 2004 Conference on Computer Vision and Pattern Recognition Workshop.

[6]  Hans-Peter Kriegel,et al.  Improving Adaptable Similarity Query Processing by Using Approximations , 1998, VLDB.

[7]  Hermann Ney,et al.  Features for image retrieval: an experimental comparison , 2008, Information Retrieval.

[8]  James Ze Wang,et al.  SIMPLIcity: Semantics-Sensitive Integrated Matching for Picture LIbraries , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Arnold W. M. Smeulders,et al.  The Amsterdam Library of Object Images , 2004, International Journal of Computer Vision.

[10]  Xian-Sheng Hua,et al.  MSRA-MM: Bridging Research and Industrial Societies for Multimedia Information Retrieval , 2009 .

[11]  Hans-Peter Kriegel,et al.  Efficient User-Adaptable Similarity Search in Large Multimedia Databases , 1997, VLDB.

[12]  Thomas Seidl,et al.  Signature quadratic form distances for content-based similarity , 2009, ACM Multimedia.

[13]  Rui Li,et al.  The analysis and applications of adaptive-binning color histograms , 2004, Comput. Vis. Image Underst..

[14]  Leonidas J. Guibas,et al.  The Earth Mover's Distance as a Metric for Image Retrieval , 2000, International Journal of Computer Vision.

[15]  Hans-Peter Kriegel,et al.  Optimal multi-step k-nearest neighbor search , 1998, SIGMOD '98.