A new trust region algorithm for image restoration

doi:10.1360/03ys0178

CSpace

	A new trust region algorithm for image restoration
	Wen, ZW ; Wang, YF
	2005-02-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:2 页码:169-184
摘要	The image restoration problems play an important role in remote sensing and astronomical image analysis. One common method for the recovery of a true image from corrupted or blurred image is the least squares error (LSE) method. But the LSE method is unstable in practical applications. A popular way to overcome instability is the Tikhonov regularization. However, difficulties will encounter when adjusting the so-called regularization parameter a. Moreover, how to truncate the iteration at appropriate steps is also challenging. In this paper we use the trust region method to deal with the image restoration problem, meanwhile, the trust region subproblem is solved by the truncated Lanczos method and the preconditioned truncated Lanczos method. We also develop a fast algorithm for evaluating the Kronecker matrix-vector product when the matrix is banded. The trust region method is very stable and robust, and it has the nice property of updating the trust region automatically. This releases us from tedious finding the regularization parameters and truncation levels. Some numerical tests on remotely sensed images are given to show that the trust region method is promising.
关键词	trust region algorithm image restoration Lanczos method Kronecker matrix-vector product preconditioning
DOI	10.1360/03ys0178
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000228429100003
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1220
专题	中国科学院数学与系统科学研究院
通讯作者	Wen, ZW
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Remote Sensing Applicat, Natl Key Lab Remote Sensing Sci, Beijing 100101, Peoples R China
推荐引用方式 GB/T 7714	Wen, ZW,Wang, YF. A new trust region algorithm for image restoration[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(2):169-184.
APA	Wen, ZW,&Wang, YF.(2005).A new trust region algorithm for image restoration.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(2),169-184.
MLA	Wen, ZW,et al."A new trust region algorithm for image restoration".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.2(2005):169-184.