图像非线性扩散去噪的格子波尔兹曼方法  

Nonlinear Diffusion for Image Denoising Using Lattice Boltzmann Method

作　　者：王志强[1] 严壮志[1] 钱跃竑[2] 

机构地区：[1]上海大学通信与信息工程学院,上海200072 [2]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用科学学报》2010年第4期367-373,共7页Journal of Applied Sciences

摘　　要：针对传统图像去噪非线性扩散模型及其算法效率低和难以并行化的缺点,该文在格子波尔兹曼方程的松弛因子中引入图像边缘特征以实现图像的非线性扩散去噪.在保证算法稳定的情况下能进行大步长迭代运算以提高处理效率,且适用于并行化计算.实验结果和分析表明,该文所提出的方法与加性分裂算法相比能够获得更好的去噪质量,其计算精度和效率都优于加性分裂算法.To overcome poor efficiency and difficulty in parallelization of traditional numerical method for image denoising with a nonlinear diffusion model,we propose a new lattice Boltzmann method to embed the image edge features into the relaxation parameters of the lattice Boltzmann equation for image nonlinear diffusion.While keeping stability in calculation,the algorithm allows large steps in the iteration so that the computation efficiency is improved.Additionally,the algorithm is easy to be parallelized.Experiment results show that the lattice Boltzmann method has better quality,accuracy and algorithmic efficiency in image denoising as compared to the additive operator splitting（AOS） algorithm.

关 键 词：图像去噪 格子波尔兹曼方法 非线性扩散 偏微分方程 

分 类 号：TN911.7[电子电信—通信与信息系统]