An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration

doi:10.1016/j.amc.2018.01.040

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	An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration
	Chang, Qianshun 1,2; Che, Zengyan 1
	2018-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	329 页码:251-265
摘要	In this paper, we present an adaptive method for the TV-based model of three norms L-q(q = 1 2, 1, 2) for the image restoration problem. The algorithm with the L-2 norm is used in the smooth regions, where the value of vertical bar del u vertical bar is small. The algorithm with the L-1/2 norm is applied for the jumps, where the value of vertical bar del u vertical bar is large. When the value of vertical bar del u vertical bar is moderate, the algorithm with the L-1 norm is employed. Thus, the three algorithms are applied for different regions of a given image such that the advantages of each algorithm are adopted. The numerical experiments demonstrate that our adaptive algorithm can not only keep the original edge and original detailed information but also weaken the staircase phenomenon in the restored images. Specifically, in contrast to the L-1 norm as in the Rudin-Osher-Fatemi model, the L-2 norm yields better results in the smooth and flat regions, and the L-1/2 norm is more suitable in regions with strong discontinuities. Therefore, our adaptive algorithm is efficient and robust even for images with large noises. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Image restoration Split Bregman method Alternating minimization method L-1/2 norm L-2 norm
DOI	10.1016/j.amc.2018.01.040
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000427813700021
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29928
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Qianshun
作者单位	1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Chang, Qianshun,Che, Zengyan. An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,329:251-265.
APA	Chang, Qianshun,&Che, Zengyan.(2018).An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration.APPLIED MATHEMATICS AND COMPUTATION,329,251-265.
MLA	Chang, Qianshun,et al."An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration".APPLIED MATHEMATICS AND COMPUTATION 329(2018):251-265.