A study of Zernike moment computing

  • Simon X. Liao
  • Miroslaw Pawlak
Poster Session I
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1351)


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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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Simon X. Liao
    • 1
  • Miroslaw Pawlak
    • 2
  1. 1.The University of WinnipegWinnipegCanada
  2. 2.The University of ManitobaWinnipegCanada

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