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Fast computation of accurate Zernike moments

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Abstract

Zernike polynomials are continuous orthogonal polynomials defined in polar coordinates over a unit disk. Zernike moment’s computation using conventional methods produced two types of errors namely approximation and geometrical. Approximation errors are removed by using exact Zernike moments. Geometrical errors are minimized through a proper mapping of the image. Exact Zernike moments are expressed as a combination of exact radial moments, where exact values of radial moments are computed by mathematical integration of the monomial polynomials over digital image pixels. A fast algorithm is proposed to accelerate the moment’s computations. A comparison with other conventional methods is performed. The obtained results explain the superiority of the proposed method.

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Author notes

  1. Khalid M. Hosny

    Present address: Department of Computer Science, Nejran Community College, Nejran, P.O. Box 1988, Saudi Arabia

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  1. Department of Computer Science, Faculty of Computers and Informatics, Zagazig University, Zagazig, Egypt

    Khalid M. Hosny

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  1. Khalid M. Hosny
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Correspondence to Khalid M. Hosny.

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Hosny, K.M. Fast computation of accurate Zernike moments. J Real-Time Image Proc 3, 97–107 (2008). https://doi.org/10.1007/s11554-007-0058-5

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  • DOI: https://doi.org/10.1007/s11554-007-0058-5

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