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A study of Zernike moment computing

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Computer Vision — ACCV'98 (ACCV 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1351))

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Abstract

In this paper, we address a detailed analysis of the accuracy of Zernike moment computing in terms of its discretization error. It is found that there is an inherent limitation in the precision of computing the Zernike moment due to the geometric nature of a circular domain. This is explained by relating the accuracy issue to a celebrated problem in analytic number theory of evaluating the lattice points within a circle. We illustrate our theory by various numerical studies including the image reconstruction.

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References

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Author information

Authors and Affiliations

  1. The University of Winnipeg, R3B 2E9, Winnipeg, Manitoba, Canada

    Simon X. Liao

  2. The University of Manitoba, R3T 5V6, Winnipeg, Manitoba, Canada

    Miroslaw Pawlak

Authors
  1. Simon X. Liao
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  2. Miroslaw Pawlak
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Editor information

Roland Chin Ting-Chuen Pong

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© 1997 Springer-Verlag Berlin Heidelberg

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Liao, S.X., Pawlak, M. (1997). A study of Zernike moment computing. In: Chin, R., Pong, TC. (eds) Computer Vision — ACCV'98. ACCV 1998. Lecture Notes in Computer Science, vol 1351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63930-6_146

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  • DOI: https://doi.org/10.1007/3-540-63930-6_146

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63930-5

  • Online ISBN: 978-3-540-69669-8

  • eBook Packages: Springer Book Archive

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