The Lattice Boltzmann Method Based Image Denoising

CHEN Yu; YAN Zhuang-zhi; QIAN Yue-hong

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The Lattice Boltzmann Method Based Image Denoising

更新时间：2025-07-16

- The Lattice Boltzmann Method Based Image Denoising
- Acta Electronica Sinica Vol. 37, Issue 3, Pages: 574-580(2009)
- 作者机构：
  
  1. 上海大学通信与信息工程学院,上海,200072
  2. 江苏大学电气信息工程学院,江苏,镇江,212013
  3. 上海大学上海市应用数学和力学研究所,上海,200072
  4. 上海大学通信与信息工程学院上海,200072
  5. 江苏大学电气信息工程学院江苏镇江,212013
  6. 上海大学上海市应用数学和力学研究所上海,200072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Published：2009
- 稿件说明：
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CHEN Yu, YAN Zhuang-zhi, QIAN Yue-hong. The Lattice Boltzmann Method Based Image Denoising[J]. Acta Electronica Sinica, 2009, 37(3): 574-580.
DOI：

CHEN Yu, YAN Zhuang-zhi, QIAN Yue-hong. The Lattice Boltzmann Method Based Image Denoising[J]. Acta Electronica Sinica, 2009, 37(3): 574-580. DOI：

摘要

Perona 和 Malik提出的各向异性的扩散模型存在着模型不稳定、图像灰度容易产生"阶越"现象等缺陷.本文通过在格子波尔兹曼各向同性扩散模型的网格点间加入跨膜介质

建立了格子波尔兹曼各向异性扩散模型.该模型中前向扩散过程占据了主导作用

因而是稳定的.实验分析表明

该模型很好地解决了P-M模型存在的灰度"阶越"现象

处理结果具有更高的峰值信噪比.

Abstract

The diffusion model proposed by Perona and Malik is unstable.This will lead to the "staircasing effect" in image denoising.The lattice Boltzmann anisotropic diffusion model (LBADM) is proposed by introducing a medium between the nodes of the lattice based on the lattice Boltzmann isotropic diffusion model (LBIDM).The force represented by the forward diffusion process dominates in the LBADM.This means the Lattice Boltzmann model LBADM is stable.The experiment and discussion showed that our algorithm can overcome the staircasing effect of the P-M model well.Compared to the Perona and Malik’s isotropic diffusion model

the lattice Boltzmann anisotropic diffusion model had higher peak signal-to-noise ratio.

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