[1]张哲,张化朋. 一种基于偏微分方程变分去噪模型[J].计算机技术与发展,2014,24(11):103-106.
　ZHANG Zhe,ZHANG Hua-peng. An Denoising Model of Variation Based on PDE[J].,2014,24(11):103-106.
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 一种基于偏微分方程变分去噪模型()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
24
期数:
2014年11期
页码:
103-106
栏目:
智能、算法、系统工程
出版日期:
2014-11-10

文章信息/Info

Title:
 An Denoising Model of Variation Based on PDE
文章编号:
1673-629X（2014）11-0103-04
作者:
 张哲; 张化朋
 南京邮电大学 理学院
Author(s):
 ZHANG Zhe; ZHANG Hua-peng
关键词:
 ; 变分方法; 偏微分方程; 图像去噪; 泊松噪声; 四阶模型; 块效应
Keywords:
 ; variation approach; PDE; image denoising; Poisson noise; fourth-order mode; block effect
分类号:
TP31
文献标志码:
A
摘要:
 近年来，国内外学者对于泊松噪声的研究越来越多，在TV模型的基础上提出了不少二阶去噪模型，它们在有效去除噪声的同时，很好地保护了图像边缘细节，但是共同的缺点是产生了“块效应”。针对这一不足，文中提出了一种四阶去噪模型，运用变分原理得到了其相应的欧拉拉格朗日方程，并用梯度下降法求解拉格朗日方程。文中运用差分法对该模型进行了数值求解与仿真，实验结果表明，提出的方法不仅去噪效果良好，而且有效改善了二阶去噪模型中出现的“块效应”，同时有效保护了边缘细节。
Abstract:
 In recent years,there are more and more studies on Poisson noise by domestic and foreign scholars,they have proposed several second-order derivative denoising models based on TV model,which are able to remove the noise effectively,and at the same time,pro-tect the image edge detail well,but have a common drawback called"block effect". In response to this deficiency,propose a fourth-order denoising model in this paper,and use the variational principle to get its corresponding Euler Lagrange equation and apply the gradient de-scent method to solve the equation. In this paper,use the differentiated method for numerical solution of the model and simulation,the re-sults show that the proposed method not only removes the noise effectively,but also improve the block effect while protecting the edge detail.

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更新日期/Last Update: 2015-04-13