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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 67–72
DOI: https://doi.org/10.31857/S2686954321040111 (Mi danma193) 		 
This article is cited in 1 scientific paper (total in 1 paper)

INFORMATICS

Suppression of multiplicative noise in images via grouping of similar objects

V. F. Kravchenkoabc, V. I. Ponomarevd, V. I. Pustovoĭtbc, G. Aranda Bojorgesd

a Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia
b Scientific and Technological Centre of Unique Instrumentation, Russian Academy of Sciences, Moscow, Russia
c Bauman Moscow State Technical University, Moscow, Russia
d Instituto Politecnico Nacional de Mexico, Mexico City, Mexico
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DOI: https://doi.org/10.31857/S2686954321040111
Abstract: For the first time, a method for filtering of images distorted by multiplicative noise has been substantiated and implemented. The method proposed consists of several stages: formation of 3D similar structures, homomorphic transformation, image filtering in the 3D space of discrete cosine transform (DCT), MAP estimation of images via grouping of similar structures, inverse homomorphic transformation, and the final stage of processing, in which the errors are corrected and edges and details of the images are recovered. Physical interpretation of the filtering procedure under conditions of multiplicative noise is given, and structural scheme of noise suppression is developed. Simulation of the method proposed has confirmed the advantages of the new filtering procedure in terms of the generally recognized criteria: estimation of structural similarity index measure and peak signal-to-noise ratio, and edge preservation index, as well as in visual comparison of filtered images.
Keywords: image, filtering, multiplicative noise, grouping of objects, homomorphic transformation, peak signal-to-noise ratio.
Received: 28.04.2021
Revised: 16.05.2021
Accepted: 26.05.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 216–220
DOI: https://doi.org/10.1134/S1064562421040116
Bibliographic databases:
Document Type: Article
UDC: 621.391.2
Language: Russian
Citation: V. F. Kravchenko, V. I. Ponomarev, V. I. Pustovoǐt, G. Aranda Bojorges, “Suppression of multiplicative noise in images via grouping of similar objects”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 67–72; Dokl. Math., 104:1 (2021), 216–220
Citation in format AMSBIB
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\paper Suppression of multiplicative noise in images via grouping of similar objects
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 67--72
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    • This publication is cited in the following 1 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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