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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2022 Volume 19, Issue 2, Pages 540–547 (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

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.

UDC: 517.562

MSC: 68U10

Received February 28, 2022, published August 26, 2022

Language: English

DOI: 10.33048/semi.2022.19.045



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