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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 540–547
DOI: https://doi.org/10.33048/semi.2022.19.045
(Mi semr1563)
 

Real, complex and functional analysis

Restoration of images corrupted by stripe interference using Radon domain filtering

I. G. Kazantseva, R. Z. Turebekovb, M. A. Sultanovc

a The Institute of Computational Mathematics and Mathematical Geophysics, 6, Akademic Lavrentiev Ave., Novosibirsk, 630090 Russia
b Mukhtar Auezov South Kazakhstan University, 5, Tauke Khan ave., Shymkent, 160012 Kazakhstan
c Khoja Akhmet Yassawi International Kazakh-Turkish University, 29, Bekzat Sattarkhanov Ave., Turkestan, 161200 Kazakhstan
References:
Abstract: The article deals with the problem of removing noise that has some anisotropy in a certain direction, in images received as a result of remote sensing. Such interference can occur with satellite imagery of the surface of Earth and planets due to the peculiarities of the imaging equipment. In the article, the method of removing such noise in the Radon space is considered, using its singular value decomposition. The use of this approach provides significant advantages over spatial filtering methods when pixel brightness values are used and can be a noticeable loss of useful information in the form of a blurring of borders. When using filtering in the Radon space to remove periodic noise predominantly only interference is removed, since only a small part of the Radon projections corresponds to noise. The numerical experiments on real-world images demonstrate the efficiency of the techniques proposed.
Keywords: image restoration, stripe interference, Radon transform, ridge functions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0251-2021-0003
Ministry of Education and Science of the Republic of Kazakhstan AP09258836
This work was partially supported by the state contract with the Institute of Computational Mathematics and Mathematical Geophysics (project no. 0251-2021-0003). The second author (R.Z.T.) and third author (M.A.S.) were financially supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP09258836).
Received February 28, 2022, published August 26, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.562
MSC: 68U10
Language: English
Citation: I. G. Kazantsev, R. Z. Turebekov, M. A. Sultanov, “Restoration of images corrupted by stripe interference using Radon domain filtering”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 540–547
Citation in format AMSBIB
\Bibitem{KazTurSul22}
\by I.~G.~Kazantsev, R.~Z.~Turebekov, M.~A.~Sultanov
\paper Restoration of images corrupted by stripe interference using Radon domain filtering
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 540--547
\mathnet{http://mi.mathnet.ru/semr1563}
\crossref{https://doi.org/10.33048/semi.2022.19.045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4478146}
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  • https://www.mathnet.ru/eng/semr/v19/i2/p540
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