2-D generating function of the zernike polynomials and their application for image classification

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dc.contributor.author Honarvar Shakibaei Asli, Barmak
dc.contributor.author Flusser, Jan
dc.contributor.author Zhao, Yifan
dc.date.accessioned 2020-09-21T15:54:28Z
dc.date.available 2020-09-21T15:54:28Z
dc.date.issued 2019-12-19
dc.identifier.citation Honarvar Shakibaei Asli B, Flusser J, Zhao Y. (2019) 2-D generating function of the zernike polynomials and their application for image classification. In: 2019 Ninth International Conference on Image Processing Theory, Tools and Applications (IPTA), 6-9 November 2019, Istanbul, Turkey en_UK
dc.identifier.isbn 978-1-7281-3975-3
dc.identifier.issn 2154-512X
dc.identifier.uri https://doi.org/10.1109/IPTA.2019.8936089
dc.identifier.uri http://dspace.lib.cranfield.ac.uk/handle/1826/15818
dc.description.abstract 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 discrete-time 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. en_UK
dc.language.iso en en_UK
dc.publisher IEEE en_UK
dc.rights Attribution-NonCommercial 4.0 International *
dc.rights.uri http://creativecommons.org/licenses/by-nc/4.0/ *
dc.subject Optics en_UK
dc.subject Zernike polynomials en_UK
dc.subject Image classification en_UK
dc.subject Generating function en_UK
dc.subject Z-transform en_UK
dc.title 2-D generating function of the zernike polynomials and their application for image classification en_UK
dc.type Conference paper en_UK


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