Sparsity reconstruction using nonconvex TGpV-shearlet regularization and constrained projection
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DOI: 10.1016/j.amc.2021.126170
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- Yang, Jing-Hua & Zhao, Xi-Le & Ji, Teng-Yu & Ma, Tian-Hui & Huang, Ting-Zhu, 2020. "Low-rank tensor train for tensor robust principal component analysis," Applied Mathematics and Computation, Elsevier, vol. 367(C).
- Zhongming Wu & Min Li & David Z. W. Wang & Deren Han, 2017. "A Symmetric Alternating Direction Method of Multipliers for Separable Nonconvex Minimization Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-27, December.
- Shama, Mu-Ga & Huang, Ting-Zhu & Liu, Jun & Wang, Si, 2016. "A convex total generalized variation regularized model for multiplicative noise and blur removal," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 109-121.
- Hanming Zhang & Linyuan Wang & Bin Yan & Lei Li & Ailong Cai & Guoen Hu, 2016. "Constrained Total Generalized p-Variation Minimization for Few-View X-Ray Computed Tomography Image Reconstruction," PLOS ONE, Public Library of Science, vol. 11(2), pages 1-28, February.
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Keywords
Generalized soft-shrinkage; Nonconvex model; Shearlet transform; Alternating direction method of multipliers; Total generalized p-variation (TGpV); Constrained scheme;All these keywords.
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