Technology of Graphic & Image
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3159-3163,3174

High order total variation with overlapping group sparsity for image restoration

Fan Mengjiaa
Zhou Xianchuna,b
a. School of Electronic & Information Engineering, b. Jiangsu Collaborative Innovation Center of Atmospheric Environment & Equipment Technology, Nanjing University of Information Science & Technology, Nanjing 210044, China

Abstract

To extend the traditional total variation, this paper proposed a new algorithm of high-order total variation combined with overlapping group sparsity. This algorithm promoted pixel-level gradient information to high-order overlapping combined sparse gradient information, which could better suppress the staircase effect caused by total variation and preserve the details of image edges. In order to solve the optimization problem of the proposed image restoration, this algorithm used the alternating direction method of multipliers(ADMM) to solve the optimization problem alternately. Compared with several other related algorithms, the new algorithm used the two factors of peak signal-to-noise ratio(PSNR) and structural similarity(SSIM) to evaluate the quality of the image after restoration. The results demonstrate the superiority of the new algorithm.

Foundation Support

国家自然科学基金资助项目(11202106, 61302188)
江苏省“信息与通信工程”优势学科建设项目
江苏高校品牌专业建设工程资助项目

Publish Information

DOI: 10.19734/j.issn.1001-3695.2019.06.0246
Publish at: Application Research of Computers Printed Article, Vol. 37, 2020 No. 10
Section: Technology of Graphic & Image
Pages: 3159-3163,3174
Serial Number: 1001-3695(2020)10-057-3159-05

Publish History

[2020-10-05] Printed Article

Cite This Article

范梦佳, 周先春. 基于交叠组合稀疏高阶全变分的图像复原 [J]. 计算机应用研究, 2020, 37 (10): 3159-3163,3174. (Fan Mengjia, Zhou Xianchun. High order total variation with overlapping group sparsity for image restoration [J]. Application Research of Computers, 2020, 37 (10): 3159-3163,3174. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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