Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem

doi:10.1364/AO.48.001389

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	Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem
	Wang, Yanfei 1; Cao, Jingjie 1; Yuan, Yaxiang 2; Yang, Changchun 1; Xiu, Naihua 3
	2009-03-01
发表期刊	APPLIED OPTICS
ISSN	1559-128X
卷号	48 期号:7 页码:1389-1401
摘要	In this paper, we consider the nonnegatively constrained multichannel image deblurring problem and propose regularizing active set methods for numerical restoration. For image deblurring problems, it is reasonable to solve a regularizing model with nonnegativity constraints because of the physical meaning of the image. We consider a general regularizing l(p) - l(q) model with nonnegativity constraints. For p and q equaling 2. the model is in a convex quadratic form, therefore, the active set method is proposed since the nonnegativity constraints are imposed naturally For p and q not equaling 2, we present an active set method with a feasible Newton-conjugate gradient solution technique. Numerical experiments are presented for ill-posed three-channel blurred image restoration problems. (C) 2009 Optical Society of America
DOI	10.1364/AO.48.001389
语种	英语
资助项目	National Science Foundation of China (NSFC)[10871191] ; National Science Foundation of China (NSFC)[10831006] ; Chinese Academy of Sciences[kjcx-yw-s7-03] ; National "973" Key Basic Research Developments Program of China[2005CB422104] ; National "973" Key Basic Research Developments Program of China[2007CB714400]
WOS研究方向	Optics
WOS类目	Optics
WOS记录号	WOS:000264413600042
出版者	OPTICAL SOC AMER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8015
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Yanfei
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Geophys, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yanfei,Cao, Jingjie,Yuan, Yaxiang,et al. Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem[J]. APPLIED OPTICS,2009,48(7):1389-1401.
APA	Wang, Yanfei,Cao, Jingjie,Yuan, Yaxiang,Yang, Changchun,&Xiu, Naihua.(2009).Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem.APPLIED OPTICS,48(7),1389-1401.
MLA	Wang, Yanfei,et al."Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem".APPLIED OPTICS 48.7(2009):1389-1401.