Improving similarity measures of histograms using smoothing projections

  • Authors:
  • Joni-Kristian Kamarainen;Ville Kyrki;Jarmo Ilonen;Heikki Kälviäinen

  • Affiliations:
  • Laboratory of Information Processing, Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Laboratory of Information Processing, Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Laboratory of Information Processing, Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland;Laboratory of Information Processing, Department of Information Technology, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2003

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Abstract

Selection of a proper similarity measure is an essential consideration for a success of many methods. In this study, similarity measures are analyzed in the context of ordered histogram type data, such as gray-level histograms of digital images or color spectra. Furthermore, the performance of the studied similarity measures can be improved using a smoothing projection, called neighbor-bank projection. Especially, with distance functions utilizing statistical properties of data, e.g., the Mahalanobis distance, a significant improvement was achieved in the classification experiments on real data sets, resulting from the use of a priori information related to ordered data. The proposed projection seems also to be applicable for dimensional reduction of histograms and to represent sparse data in a more tight form in the projection subspace.