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An Inexact Dual Alternating Direction Method of Multipliers for Image Decomposition and Restoration

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  • Qingsong Wang

    (School of Mathematics, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China2School of Mathematical Sciences, Beihang University, No. 37 Xueyuan Road, Haidian District, Beijing 100191, China)

  • Chengjing Wang

    (School of Mathematics and National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China)

  • Peipei Tang

    (School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China)

  • Dunbiao Niu

    (College of Mathematics, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu 610065, China)

Abstract

In this paper, we apply an inexact dual alternating direction method of multipliers (dADMM) to an image decomposition model. In this model, an image is divided into two meaningful components, i.e., a cartoon part and a texture part. The dADMM presents not only the cartoon part and the texture part of an image but also the restored image (cartoon part + texture part). We also summarize the global convergence for the algorithm. Numerical experiments demonstrate the efficiency and robustness of the inexact dADMM. Furthermore, we can obtain relatively higher signal-to-noise ratio (SNR) comparing to other algorithms.

Suggested Citation

  • Qingsong Wang & Chengjing Wang & Peipei Tang & Dunbiao Niu, 2020. "An Inexact Dual Alternating Direction Method of Multipliers for Image Decomposition and Restoration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(04), pages 1-25, August.
    • Handle: RePEc:wsi:apjorx:v:37:y:2020:i:04:n:s0217595920400102
    DOI: 10.1142/S0217595920400102
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    Cited by:

    1. Edward Smith & Duane Robinson & Ashish Agalgaonkar, 2021. "Cooperative Control of Microgrids: A Review of Theoretical Frameworks, Applications and Recent Developments," Energies, MDPI, vol. 14(23), pages 1-34, December.

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