摘要
提出一类自适应扩散方程并将其相应的模型用于乘性去噪,该类模型能针对乘性噪声的特点,根据局部梯度信息自适应地选择扩散模式:其扩散速度和噪声大小成正比,没有噪声的区域不扩散,同时结合了热方程各向同性扩散和全变差流各向异性扩散的特点.理论分析和实验结果表明,该类模型能自适应地光滑区域内部,增强边界,避免阶梯效应.
The authors presented a class of adaptive diffusion equations which provide a model for multiplicative denoising.This type of diffusion varies according the local gradient information,adaptively aiming at multiplicative noise.The diffusion speed is proportional to noisy level and there is no diffusion in the domains with no noise.The diffusion result from the proposed model is a combination of isotropic diffusion based on heat equation and anisotropic diffusion based on total variation.Theoretical analysis and experimental results illustrate the effectiveness of the model in removing noise and enhancing edges while avoiding the staircasing effect.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2011年第2期164-168,共5页
Journal of Jilin University:Science Edition
基金
中国博士后科学基金(批准号:20100481229)
中央高校基本科研业务费专项基金
关键词
自适应
乘性去噪
阶梯效应
扩散方程
adaptive
multiplicative denoising
staircase effect
diffusion equation
