Domain-based noise removal method using fourth-order partial differential equation  

基于区域的四阶偏微分方程去噪方法(英文)

作　　者：曾维理[1] 谭湘花[2] 路小波[3] 

机构地区：[1]东南大学交通学院,南京210096 [2]湖南师范大学数学与计算机科学学院,长沙410081 [3]东南大学自动化学院,南京210096

出　　处：《Journal of Southeast University(English Edition)》2011年第2期154-158,共5页东南大学学报（英文版）

基　　金：The National Natural Science Foundation of China(No.60972001);the National Key Technology R&D Program of China during the 11th Five-Year Period(No.2009BAG13A06)

摘　　要：Due to the fact that the fourth-order partial differential equation （PDE） for noise removal can provide a good trade-off between noise removal and edge preservation and avoid blocky effects often caused by the second-order PDE, a domain-based fourth-order PDE method for noise removal is proposed. First, the proposed method segments the image domain into two domains, a speckle domain and a non-speckle domain, based on the statistical properties of isolated speckles in the Laplacian domain. Then, depending on the domain type, different conductance coefficients in the proposed fourth-order PDE are adopted. Moreover, the frequency approach is used to determine the optimum iteration stopping time. Compared with the existing fourth-order PDEs, the proposed fourth-order PDE can remove isolated speckles and keeps the edges from being blurred. Experimental results show the effectiveness of the proposed method.由于四阶偏微分方程的图像去噪方法在有效降噪的同时能很好地保持特征并避免二阶偏微分方程处理图像常出现的块状效应,提出了一种基于区域的四阶偏微分方程的图像去噪方法.首先,该方法根据斑点噪声在拉普拉斯域中所具有的统计特性,将图像区域分为斑点区域和非斑点区域;然后,针对不同的区域采用不同的传导系数.此外,采用频域法来确定迭代停止时间.与已有的四阶偏微分方程图像去噪方法相比,所提出的方法能够更好地去除斑点和保持边缘.实验结果验证了所提出方法的有效性.

关 键 词：fourth-order partial differential equation conductance coefficient speckle domain image denoising 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]