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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 520, Number 1, Pages 19–23
DOI: https://doi.org/10.31857/S2686954324060033 (Mi danma571) 		 
MATHEMATICS

Lattice Boltzmann model for nonlinear anisotropic diffusion with applications to image processing

O. V. Ilyin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324060033
Abstract: It is shown that the multiple nonconstant relaxation time lattice Boltzmann equation for five discrete velocities is equivalent in the diffusion limit to a nonlinear anisotropic diffusion equation. The proposed model is applied to speckle and Gaussian noise removal problem.
Keywords: lattice Boltzmann equations, nonlinear anisotropic diffusion, Perona–Malik equations.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 07515-2024-544
This work was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. 075-15-2024-544.
Presented: A. A. Shananin
Received: 15.05.2024
Revised: 12.10.2024
Accepted: 30.10.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 3, Pages 464–468
DOI: https://doi.org/10.1134/S1064562424601288
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: O. V. Ilyin, “Lattice Boltzmann model for nonlinear anisotropic diffusion with applications to image processing”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024), 19–23; Dokl. Math., 110:3 (2024), 464–468
Citation in format AMSBIB
\Bibitem{Ily24}
\by O.~V.~Ilyin
\paper Lattice Boltzmann model for nonlinear anisotropic diffusion with applications to image processing
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 520
\issue 1
\pages 19--23
\mathnet{http://mi.mathnet.ru/danma571}
\elib{https://elibrary.ru/item.asp?id=80301233}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 3
\pages 464--468
\crossref{https://doi.org/10.1134/S1064562424601288}
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