一种改进的最小二乘正则化的图像复原方法  

Improved method for image restoration based on least-squares and regularization

作　　者：何蕾[1] 檀结庆[1] 张平[2] 

机构地区：[1]合肥工业大学理学院,合肥230009 [2]合肥工业大学计算机与信息学院,合肥230009

出　　处：《计算机工程与应用》2008年第1期63-65,共3页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Natural Science Foundation of China under Grant No.10171026,No.60473114);安徽省自然科学基金(No.0704162F3X);安徽省教育厅科技创新团队基金(No.2005TD03)。

摘　　要：在常用的最小二乘正则化方法的基础上,提出了一种改进的图像复原方法。在运算中,首先用四阶偏微分方程方法对模糊图像进行噪声处理,得到一幅中间图像,然后对这个中间图像采用最小二乘正则化方法进行处理,便得到了最终的复原图像。实验表明,该方法不仅能克服问题的病态性,而且复原后的图像比最小二乘正则化方法复原后的图像整体视觉效果和峰值信噪比都有明显的提高。An improved method for image restoration is presented in this paper,which is based on least-squares and regularization method.Firstly fourth-order partial differential equations are used to remove the blurred image＇s noise to get a transition image,and then the least-squares and regularization methods are adopted to deal with the transition image to get a final image.The experimental results show that the method not only overcomes ill-posed problem,but also the restored image＇s visual effect and peak signal to noise ratio are improved significantly compared with least-squares and regularization methods.

关 键 词：图像复原 最小二乘 正则化 四阶偏微分方程 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]