Projected Barzilai-Borwein method for large-scale nonnegative image restoration

doi:10.1080/17415970600881897

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	Projected Barzilai-Borwein method for large-scale nonnegative image restoration
	Wang, Yanfei ; Ma, Shiqian
	2007
发表期刊	INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
ISSN	1741-5977
卷号	15 期号:6 页码:559-583
摘要	Image restoration refers to minimizing the degradation caused by the sensor environment, such as misfocused CCD cameras, nonuniform motions, atmospheric aerosols, and atmospheric turbulences. In image restoration problems, it is reasonable to add nonnegative constraints because of the physical meaning of the image. Then, the problem can be expressed as a quadratic programming problem with nonnegative constraints. However, in previous research, a parameterization technique is needed to reduce the problem into an unconstrained optimization problem. To avoid parameterization techniques, we apply the recently developed projected Barzilai-Borwein (PBB) method to solve this quadratic programming problem. Also, a novel approach for reducing the cost of matrix-vector multiplication is proposed when applying BB and PBB methods for atmospheric image restoration. The numerical experiments show that this method is promising for large-scale image restoration problems.
关键词	65J10 65K10 65F22
DOI	10.1080/17415970600881897
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000250516400003
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4692
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, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yanfei,Ma, Shiqian. Projected Barzilai-Borwein method for large-scale nonnegative image restoration[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,2007,15(6):559-583.
APA	Wang, Yanfei,&Ma, Shiqian.(2007).Projected Barzilai-Borwein method for large-scale nonnegative image restoration.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,15(6),559-583.
MLA	Wang, Yanfei,et al."Projected Barzilai-Borwein method for large-scale nonnegative image restoration".INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 15.6(2007):559-583.