Raster image processing using 2D Padé-type approximations

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dc.contributor.authorOlevskyi, V. I.en
dc.contributor.authorOlevska, Yu. B.en
dc.contributor.authorOlevskyi, O. V.en
dc.contributor.authorHnatushenko, Volodymyr V.en
dc.date.accessioned2024-02-27T10:36:43Z
dc.date.available2024-02-27T10:36:43Z
dc.date.issued2023
dc.descriptionVol. Hnatushenko: ORCID 0000-0003-3140-3788en
dc.description.abstractENG: We have developed a method called the two-dimensional Padé-type approximants method, which can be used to reduce the Gibbs phenomenon in the harmonic two-dimensional Fourier series. This method can be applied to both monochrome and color raster images. To do this, we implement the generalized two-dimensional Padé approximation proposed by Chisholm. In this approach, we select the range of frequency values on the integer grid according to the Vavilov method. We propose a definition of a Padé-type functional and provide examples of its application to simple discontinuous templates represented as raster images. Through this study, we are able to draw conclusions about the practical usage and advantages of the Padé-type approximation. We demonstrate that the Padé-type approximant effectively eliminates distortions associated with the Gibbs phenomenon, and it is visually more appropriate than the Fourier approximant. Additionally, the application of the Padé-type approximation reduces the number of parameters without sacrificing precision.en
dc.description.sponsorshipDnipro University of Technology, Dnipro; Oles Honchar Dnipro National University, Dniproen
dc.identifier.citationOlevskyi V. I., Olevska Yu. B., Olevskyi O. V., Hnatushenko V. V. Raster image processing using 2D Padé-type approximations. Journal of Physics: Conference Series. 2023. Vol. 2675, 012015. DOI: 10.1088/1742-6596/2675/1/012015.en
dc.identifier.doi10.1088/1742-6596/2675/1/012015
dc.identifier.issn1742-6596
dc.identifier.urihttps://iopscience.iop.org/article/10.1088/1742-6596/2675/1/012015en
dc.identifier.urihttps://crust.ust.edu.ua/handle/123456789/18151en
dc.language.isoen
dc.publisherIOP Publishingen
dc.subjectimage processingen
dc.subjectrasterizationen
dc.subjectapproximantsen
dc.subjectFourieren
dc.subjectGibbs phenomenaen
dc.subjectimages processingen
dc.subjectITS applicationsen
dc.subjectPade' approximationen
dc.subjectPade-type approximanten
dc.subjectraster imageen
dc.subjectSimple++en
dc.subjecttwo-dimensionalen
dc.subjectFourier seriesen
dc.subjectКІТСuk_UA
dc.subject.classificationhttps://iopscience.iop.org/article/10.1088/1742-6596/2675/1/012015en
dc.titleRaster image processing using 2D Padé-type approximationsen
dc.typeArticleen
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