0511257 20241106135754.020191119235959.9 85077968922 10.1109/IPTA.2019.8936089 6 s. P cav_un_epca*0517369978-1-7281-3975-3PiscatawayIEEE2019 Optics Zernike polynomials Image classification Generating function Z-transform cav_un_auth*0347018 Honarvar Shakibaei Asli Barmak UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing MY Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101087 Flusser Jan UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0293042 Zhao Y. GB http://library.utia.cas.cz/separaty/2019/ZOI/flusser-0511257.pdf cav_un_auth*0360230 GJ18-26018Y GA ČR cav_un_auth*0360229 GA18-07247S GA ČR 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. cav_un_auth*0382777 International Conference of Image Processing, Theory, Tools & Applications, IPTA 2019 /9./ 20191106 20191109 Istanbul TR JD 20000 20200 20206 2020 3 4 A sml 4as 20241106135754.0 PR RVO:67985556 http://hdl.handle.net/11104/0302691 1 cav_un_auth*0382778 Through-Life Engineering Services Centre, School of Aerospace, Transport and Manufacturing, Cranfield University, Cranfield, Bedfordshire MK43 0AL, UK GB S COPYRIGHT AND CONSENT FORM 20190828 2019 Soubory v repozitáři: flusser-0511257-CopyrightReceipt.pdf 85077968922 SCOPUS PUBMED WOS cav_un_epca*0517369 Proceedings of the 9th International Conference on Image Processing Theory, Tools and Applications IPTA 2019 978-1-7281-3975-3 Piscataway IEEE 2019