非线性各向异性扩散的晶格玻尔兹曼模型及其在图像处理中的应用

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-02-27 DOI:10.1134/S1064562424601288

O. V. Ilyin

引用次数: 0

摘要

证明了五种离散速度的多重非恒定弛豫时间晶格玻尔兹曼方程在扩散极限上等价于非线性各向异性扩散方程。该模型应用于散斑和高斯噪声的去除。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.