去除图像高强度乘性噪声的变分模型  

Variational Model to Removal Strong Multiplicative Noise

作　　者：胡学刚[1,2] 张龙涛[2] 李玲[1] 

机构地区：[1]重庆邮电大学系统理论及其应用研究中心,重庆400065 [2]重庆邮电大学计算机科学与技术学院,重庆400065

出　　处：《小型微型计算机系统》2013年第5期1172-1175,共4页Journal of Chinese Computer Systems

基　　金：国家自然科学基金项目(11071266)资助;重庆市教委科研基金项目(KJ100505)资助

摘　　要：本文提出了一种新的去除图像高强度乘性噪声的变分模型,该模型针对现有全变分方法在去除图像高强度乘性噪声时出现的边缘模糊、去噪效果不佳及"阶梯"效应等问题进行研究.然后导出了该模型对应的偏微分方程的初边值问题,分析了模型的去噪机理,并给出了相应的数值计算方法.数值实验结果表明,新模型不仅提高了图像去噪的质量,在视觉上更平滑自然,基本上消除了"阶梯"效应.此外,新模型在运行时间方面也具有较大的优势.In this paper, a new variational model is proposed and studied to remove the strong multiplicative noise. The initial boundary value problem of the partial differential equation for the model is derived and discreted numerically. The model has succeeded in inhibiting multiplicative noise effectively, preserving the textures and fine details of images perfectly. It is concluded from the experiments that the new model not only can remove multiplicative noise effectively, but also is more superior to preventing the ＂step-casing effect＂ than the existing key models. Moreover, the new variational model is much superior than the existing key models in the run- ning time.

关 键 词：图像去噪 高强度乘性噪声 变分算法 阶梯效应 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]