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A quasi-reversibility approach to solve the inverse obstacle problem
Simultaneous cartoon and texture inpainting
1. | Temasek Laboratories and Department Mathematics, National University of Singapore, 2 Science Drive 2, 117543 |
2. | Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong, China |
3. | Department of Mathematics, National University of Singapore, 2 Science Drive 2, 117543, Singapore |
[1] |
Chengxiang Wang, Li Zeng, Yumeng Guo, Lingli Zhang. Wavelet tight frame and prior image-based image reconstruction from limited-angle projection data. Inverse Problems and Imaging, 2017, 11 (6) : 917-948. doi: 10.3934/ipi.2017043 |
[2] |
C.M. Elliott, S. A. Smitheman. Analysis of the TV regularization and $H^{-1}$ fidelity model for decomposing animage into cartoon plus texture. Communications on Pure and Applied Analysis, 2007, 6 (4) : 917-936. doi: 10.3934/cpaa.2007.6.917 |
[3] |
Jingwei Liang, Jia Li, Zuowei Shen, Xiaoqun Zhang. Wavelet frame based color image demosaicing. Inverse Problems and Imaging, 2013, 7 (3) : 777-794. doi: 10.3934/ipi.2013.7.777 |
[4] |
Wei Wan, Haiyang Huang, Jun Liu. Local block operators and TV regularization based image inpainting. Inverse Problems and Imaging, 2018, 12 (6) : 1389-1410. doi: 10.3934/ipi.2018058 |
[5] |
Moez Kallel, Maher Moakher, Anis Theljani. The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting. Inverse Problems and Imaging, 2015, 9 (3) : 853-874. doi: 10.3934/ipi.2015.9.853 |
[6] |
Laurence Cherfils, Hussein Fakih, Alain Miranville. Finite-dimensional attractors for the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard equation in image inpainting. Inverse Problems and Imaging, 2015, 9 (1) : 105-125. doi: 10.3934/ipi.2015.9.105 |
[7] |
Amine Laghrib, Abdelkrim Chakib, Aissam Hadri, Abdelilah Hakim. A nonlinear fourth-order PDE for multi-frame image super-resolution enhancement. Discrete and Continuous Dynamical Systems - B, 2020, 25 (1) : 415-442. doi: 10.3934/dcdsb.2019188 |
[8] |
Hayden Schaeffer, John Garnett, Luminita A. Vese. A texture model based on a concentration of measure. Inverse Problems and Imaging, 2013, 7 (3) : 927-946. doi: 10.3934/ipi.2013.7.927 |
[9] |
Lok Ming Lui, Chengfeng Wen, Xianfeng Gu. A conformal approach for surface inpainting. Inverse Problems and Imaging, 2013, 7 (3) : 863-884. doi: 10.3934/ipi.2013.7.863 |
[10] |
Qiao-Fang Lian, Yun-Zhang Li. Reducing subspace frame multiresolution analysis and frame wavelets. Communications on Pure and Applied Analysis, 2007, 6 (3) : 741-756. doi: 10.3934/cpaa.2007.6.741 |
[11] |
Frédéric Bourgeois, Kai Cieliebak, Tobias Ekholm. A note on Reeb dynamics on the tight 3-sphere. Journal of Modern Dynamics, 2007, 1 (4) : 597-613. doi: 10.3934/jmd.2007.1.597 |
[12] |
Xiaoqun Zhang, Tony F. Chan. Wavelet inpainting by nonlocal total variation. Inverse Problems and Imaging, 2010, 4 (1) : 191-210. doi: 10.3934/ipi.2010.4.191 |
[13] |
Grégory Faye, Pascal Chossat. A spatialized model of visual texture perception using the structure tensor formalism. Networks and Heterogeneous Media, 2013, 8 (1) : 211-260. doi: 10.3934/nhm.2013.8.211 |
[14] |
Hong Zhou, M. Gregory Forest, Qi Wang. Anchoring-induced texture & shear banding of nematic polymers in shear cells. Discrete and Continuous Dynamical Systems - B, 2007, 8 (3) : 707-733. doi: 10.3934/dcdsb.2007.8.707 |
[15] |
Guoyong Gu, Junfeng Yang. A unified and tight linear convergence analysis of the relaxed proximal point algorithm. Journal of Industrial and Management Optimization, 2022 doi: 10.3934/jimo.2022107 |
[16] |
Riccardo March, Giuseppe Riey. Analysis of a variational model for motion compensated inpainting. Inverse Problems and Imaging, 2017, 11 (6) : 997-1025. doi: 10.3934/ipi.2017046 |
[17] |
Xuemei Chen, Julia Dobrosotskaya. Inpainting via sparse recovery with directional constraints. Mathematical Foundations of Computing, 2020, 3 (4) : 229-247. doi: 10.3934/mfc.2020025 |
[18] |
Fahd Jarad, Thabet Abdeljawad. Variational principles in the frame of certain generalized fractional derivatives. Discrete and Continuous Dynamical Systems - S, 2020, 13 (3) : 695-708. doi: 10.3934/dcdss.2020038 |
[19] |
Fahd Jarad, Yassine Adjabi, Thabet Abdeljawad, Saed F. Mallak, Hussam Alrabaiah. Lyapunov type inequality in the frame of generalized Caputo derivatives. Discrete and Continuous Dynamical Systems - S, 2021, 14 (7) : 2335-2355. doi: 10.3934/dcdss.2020212 |
[20] |
Yiting Chen, Jia Li, Qingyun Yu. Large region inpainting by re-weighted regularized methods. Inverse Problems and Imaging, 2021, 15 (5) : 827-842. doi: 10.3934/ipi.2021015 |
2021 Impact Factor: 1.483
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