Lattice Boltzmann Model for Nonlinear Anisotropic Diffusion with Applications to Image Processing

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.

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Publication Details

Journal
Doklady Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1064562424601288
Primary Topic
Image and Signal Denoising Methods
Type
article
Field-Weighted Citation Impact
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article

Lattice Boltzmann Model for Nonlinear Anisotropic Diffusion with Applications to Image Processing

O. V. Ilyin
Doklady Mathematics
Image and Signal Denoising Methods
article

Lattice Boltzmann Model for Nonlinear Anisotropic Diffusion with Applications to Image Processing

O. V. Ilyin
article en

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.

Doklady MathematicsVol. 110(3)
Russian Academy of Sciences (RU)
Affordable and clean energy
Openalex Percentile: Top 72%
Image and Signal Denoising Methods
DOISourceOpenAlex
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Lattice Boltzmann Model for Nonlinear Anisotropic Diffusion with Applications to Image Processing — O. V. Ilyin · Doklady Mathematics (2024) | TGRS Research Map | TGRS