Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images

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著者

    • YANG Zhuo
    • the Graduate School of Information, Production and Systems, Waseda University
    • KAMATA Sei-ichiro
    • the Graduate School of Information, Production and Systems, Waseda University

抄録

Polar and Spherical Fourier analysis can be used to extract rotation invariant features for image retrieval and pattern recognition tasks. They are demonstrated to show superiorities comparing with other methods on describing rotation invariant features of two and three dimensional images. Based on mathematical properties of trigonometric functions and associated Legendre polynomials, fast algorithms are proposed for multimedia applications like real time systems and large multimedia databases in order to increase the computation speed. The symmetric points are computed simultaneously. Inspired by relative prime number theory, systematic analysis are given in this paper. Novel algorithm is deduced that provide even faster speed. Proposed method are 9-15% faster than previous work. The experimental results on two and three dimensional images are given to illustrate the effectiveness of the proposed method. Multimedia signal processing applications that need real time polar and spherical Fourier analysis can be benefit from this work.

収録刊行物

  • IEICE transactions on information and systems

    IEICE transactions on information and systems 95(5), 1248-1255, 2012-05-01

    一般社団法人 電子情報通信学会

参考文献:  17件中 1-17件 を表示

各種コード

  • NII論文ID(NAID)
    10030942552
  • NII書誌ID(NCID)
    AA10826272
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    09168532
  • データ提供元
    CJP書誌  J-STAGE 
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