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Image Analysis by Discrete Orthogonal Hahn Moments

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Image Analysis and Recognition (ICIAR 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3656))

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Abstract

Orthogonal moments are recognized as useful tools for object representation and image analysis. It has been shown that the recently developed discrete orthogonal moments have better performance than the conventional continuous orthogonal moments. In this paper, a new set of discrete orthogonal polynomials, namely Hahn polynomials, are introduced. The related Hahn moment functions defined on this orthogonal basis set are investigated and applied to image reconstruction. In experiments, the Hahn moments are compared with the other two discrete orthogonal moments: Chebyshev and Krawtchouk moments. The simulation results show that the Hahn moment-based reconstruction method is superior to the other two discrete orthogonal moment-based methods.

This work was supported by the National Basic Research Program of China under grant No. 2003CB716102 and the National Natural Science Foundation of China under grant No. 60272045.

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Author information

Authors and Affiliations

  1. Lab of Image Science and Technology, Department of Biological Science and Medical Engineering, Southeast University, 210096, Nanjing, China

    Jian Zhou, Huazhong Shu, Hongqing Zhu & Limin Luo

  2. Laboratoire Traitement du Signal et de l’Image, INSERM, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France

    Christine Toumoulin

Authors
  1. Jian Zhou
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  2. Huazhong Shu
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  3. Hongqing Zhu
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  4. Christine Toumoulin
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  5. Limin Luo
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Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering Department, University of Waterloo,  

    Mohamed Kamel

  2. FEUP - Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, P.O. Box, 4200-465, Porto, Portugal

    Aurélio Campilho

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhou, J., Shu, H., Zhu, H., Toumoulin, C., Luo, L. (2005). Image Analysis by Discrete Orthogonal Hahn Moments. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2005. Lecture Notes in Computer Science, vol 3656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11559573_65

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  • DOI: https://doi.org/10.1007/11559573_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29069-8

  • Online ISBN: 978-3-540-31938-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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