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一种改进的最小二乘正则化的图像复原方法
引用本文:何蕾,檀结庆,张平. 一种改进的最小二乘正则化的图像复原方法[J]. 计算机工程与应用, 2008, 44(1): 63-65. DOI: 10.3778/j.issn.1002-8331.2008.01.020
作者姓名:何蕾  檀结庆  张平
作者单位:合肥工业大学,理学院,合肥,230009;合肥工业大学,计算机与信息学院,合肥,230009;合肥工业大学,计算机与信息学院,合肥,230009
基金项目:国家自然科学基金 , 安徽省自然科学基金 , 安徽省教育厅科技创新团队基金
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。

关 键 词:图像复原  最小二乘  正则化  四阶偏微分方程
文章编号:1002-8331(2008)01-0063-03
收稿时间:2007-07-01
修稿时间:2007-07-01

Improved method for image restoration based on least-squares and regularization
HE Lei,TAN Jie-qing,ZHANG Ping. Improved method for image restoration based on least-squares and regularization[J]. Computer Engineering and Applications, 2008, 44(1): 63-65. DOI: 10.3778/j.issn.1002-8331.2008.01.020
Authors:HE Lei  TAN Jie-qing  ZHANG Ping
Affiliation:1.College of Sciences,Hefei University of Technology,Hefei 230009,China 2.College of Computer and Information,Hefei University of Technology,Hefei 230009,China
Abstract: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.
Keywords:image restoration  least-squares  regularization  fourth-order partial differential equations
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