An adaptive algorithm for TV-based model of three norms L-q(q=1/2, 1, 2) in image restoration
文献类型：期刊论文
| 作者 | Chang, Qianshun1,2; Che, Zengyan1 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2018-07-15 |
| 卷号 | 329页码:251-265 |
| 关键词 | Image restoration Split Bregman method Alternating minimization method L-1/2 norm L-2 norm |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2018.01.040 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000427813700021 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29927]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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