Removing Gaussian noise for colour images by quaternion representation and optimisation of weights in non-local means filter

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成果类型：

期刊论文

作者：

Chen, Beijing*;Liu, Quansheng;Sun, Xingming;Li, Xu;Shu, Huazhong

通讯作者：

Chen, Beijing

作者机构：

[Liu, Quansheng; Sun, Xingming; Chen, Beijing] Nanjing Univ Informat Sci & Technol, Sch Comp & Software, Nanjing 210044, Jiangsu, Peoples R China.

[Sun, Xingming; Chen, Beijing] Nanjing Univ Informat Sci & Technol, Jiangsu Engn Ctr Network Monitoring, Nanjing 210044, Jiangsu, Peoples R China.

[Liu, Quansheng] Univ Bretagne Sud, CNRS UMR 6205, Lab Math Bretagne Atlantique, F-56017 Vannes, France.

[Li, Xu; Liu, Quansheng] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410014, Hunan, Peoples R China.

[Shu, Huazhong] Southeast Univ, Sch Comp Sci & Engn, Lab Image Sci & Technol, Nanjing 210096, Jiangsu, Peoples R China.

通讯机构：

[Chen, Beijing] N

Nanjing Univ Informat Sci & Technol, Sch Comp & Software, Nanjing 210044, Jiangsu, Peoples R China.

语种：

英文

关键词：

filtering theory;Gaussian noise;image colour analysis;image denoising;image representation;image restoration;mean square error methods;optimisation;Gaussian noise removal;quaternion representation;optimisation;quaternion mean-square error;colour image restoration;Lagrange multiplier;quaternion optimal weight nonlocal mean filter

期刊：

IET Image Processing

ISSN：

1751-9659

年：

2014

卷：

期：

页码：

591-600

DOI：

10.1049/iet-ipr.2013.0521

基金类别：

National Basic Research Program of ChinaNational Basic Research Program of China [2011CB707904]; NSFCNational Natural Science Foundation of China (NSFC) [61073138, 61271312, 61232016, 61103141, 61173141, 61105007, 61272421, 11101039, 11171044]; Ministry of Education of ChinaMinistry of Education, China [20110092110023]; Natural Science Foundation of the Jiangsu Higher Education Institutions of ChinaNational Natural Science Foundation of China (NSFC) [13KJB520015]; Priority Academic Program Development of Jiangsu Higher Education Institutions; Science Research Foundation of Nanjing University of Information Science Technology [20110430]

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

In this study, a new quaternion filter for removal of Gaussian noise in colour images is presented. It is based on the quaternion representation of colour images and the optimisation of a tight bound of the quaternion mean-square error between the restored colour image and the original one, together with the essential idea of the non-local means filter. The optimal weights are obtained by using the method of Lagrange multipliers. The authors' quaternion optimal weights non-local means filter is given by the weighted means of the observed quaternion representation using the optimal weights. Exp...

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Removing Gaussian noise for colour images by quaternion representation and optimisation of weights in non-local means filter

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