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Conference Paper (international conference)

2-D Generating Function of the Zernike Polynomials and their Application for Image Classification

Honarvar Shakibaei Asli Barmak, Flusser Jan, Zhao Y.

: Proceedings of the 9th International Conference on Image Processing Theory, Tools and Applications IPTA 2019

: International Conference of Image Processing, Theory, Tools & Applications, IPTA 2019 /9./, (Istanbul, TR, 20191106)

: GJ18-26018Y, GA ČR, GA18-07247S, GA ČR

: Optics, Zernike polynomials, Image classification, Generating function, Z-transform

: 10.1109/IPTA.2019.8936089

: http://library.utia.cas.cz/separaty/2019/ZOI/flusser-0511257.pdf

(eng): This work proposes a new approach to find the generating function (GF) of the Zernike polynomials in two dimensional form. Combining the methods of GFs and discretetime systems, we can develop two dimensional digital systems for systematic generation of entire orders of Zernike polynomials. We establish two different formulas for the GF of the radial Zernike polynomials based on both the degree and the azimuthal order of the radial polynomials. In this paper, we use four terms recurrence relation instead of the ordinary three terms recursion to calculate the radial Zernike polynomials and their GFs using unilateral 2D Z-transform. A spatio-temporal implementation scheme is developed for generation of the radial Zernike polynomials. Since Zernike moments (ZMs) are invariant with respect to rotation, translation and scaling, the experimental schemes show the image classification applications by using the proposed algorithm.

: JD

: 20206

2019-01-07 08:39