Geodesic
Suppression of multiplicative noise in images via grouping of similar objects
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 67-72

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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. 
@article{DANMA_2021_499_a14,
     author = {V. F. Kravchenko and V. I. Ponomarev and V. I. Pustovoǐt and G. Aranda Bojorges},
     title = {Suppression of multiplicative noise in images via grouping of similar objects},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {67--72},
     publisher = {mathdoc},
     volume = {499},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_499_a14/}
}
TY  - JOUR
AU  - V. F. Kravchenko
AU  - V. I. Ponomarev
AU  - V. I. Pustovoǐt
AU  - G. Aranda Bojorges
TI  - Suppression of multiplicative noise in images via grouping of similar objects
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
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PB  - mathdoc
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%A V. I. Ponomarev
%A V. I. Pustovoǐt
%A G. Aranda Bojorges
%T Suppression of multiplicative noise in images via grouping of similar objects
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2021
%P 67-72
%V 499
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DANMA_2021_499_a14/
%G ru
%F DANMA_2021_499_a14
V. F. Kravchenko; V. I. Ponomarev; V. I. Pustovoǐt; G. Aranda Bojorges. Suppression of multiplicative noise in images via grouping of similar objects. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 67-72. http://geodesic.mathdoc.fr/item/DANMA_2021_499_a14/