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

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dc.contributor.authorHonarvar Shakibaei Asli, Barmak
dc.contributor.authorFlusser, Jan
dc.contributor.authorZhao, Yifan
dc.date.accessioned2020-09-21T15:54:28Z
dc.date.available2020-09-21T15:54:28Z
dc.date.issued2019-12-19
dc.description.abstractThis 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.identifier.citationHonarvar 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, Turkeyen_UK
dc.identifier.isbn978-1-7281-3975-3
dc.identifier.issn2154-512X
dc.identifier.urihttps://doi.org/10.1109/IPTA.2019.8936089
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/15818
dc.language.isoenen_UK
dc.publisherIEEEen_UK
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectOpticsen_UK
dc.subjectZernike polynomialsen_UK
dc.subjectImage classificationen_UK
dc.subjectGenerating functionen_UK
dc.subjectZ-transformen_UK
dc.title2-D generating function of the zernike polynomials and their application for image classificationen_UK
dc.typeConference paperen_UK

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