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Non-Uniform Cube Fourier Moments Based Image Representation

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Recent Advances in Computer Science and Information Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 128))

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Abstract

Invariant Moment is an important method for image representation for its invariant for shift, rotation, scale, and intensity distortion of an image. According to drawbacks of state-of-the-art methods, the criteria of designing radial kernels were summarized in this paper. And also a new invariant moment-Non-Uniform Cube Fourier Moment was proposed. The zeros are distributed non-uniformly, and the amplitudes of vibration are descending along the radial orientation. And also information redundancy was used to design the radial kernel, so the base functions of it are non-orthogonal. Those features make them more reasonable for image representation, especially small images. Finally image reconstruction with those new moments was experimented, to prove those new moments perform better in image representation.

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Authors and Affiliations

  1. Dept. of E.E., Fudan University, No.220, Handan Rd., Shanghai, 200433, China

    Caihui Li, Zhengyan Zhang, Qun Zhang & Qiyong Lu

Authors
  1. Caihui Li
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  2. Zhengyan Zhang
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  3. Qun Zhang
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  4. Qiyong Lu
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Corresponding author

Correspondence to Caihui Li .

Editor information

Editors and Affiliations

  1. , College of Communication Engineering, Jilin University, Room 313, Building No.1, Changchun, Nanhu Avenue 5372, Jilin, 130012, China, People's Republic

    Zhihong Qian

  2. , Department of Electrical Engineering, The University of Mississippi, Anderson Hall 314, Mississippi, 38677, Mississippi, USA

    Lei Cao

  3. , Department of Electrical and Computer En, Naval Postgraduate School, Rm. 452 Spanagel Bldg. 232, Dyer Road 833, Monterey, 93943-5121, California, USA

    Weilian Su

  4. , Faculty of Computing, London Metropolitan University, Holloway Road 166-220, London, N7 8DB, United Kingdom

    Tingkai Wang

  5. , College of Software, Changchun University of Science and Tech, Changchun, Jilin, 130022, China, People's Republic

    Huamin Yang

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Li, C., Zhang, Z., Zhang, Q., Lu, Q. (2012). Non-Uniform Cube Fourier Moments Based Image Representation. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25792-6_81

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  • DOI: https://doi.org/10.1007/978-3-642-25792-6_81

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25791-9

  • Online ISBN: 978-3-642-25792-6

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