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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 & 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 & 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 & 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 & 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 & 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 & 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 & Continuous Dynamical Systems - B, 2020, 25 (1) : 415-442. doi: 10.3934/dcdsb.2019188 |
[8] |
Qiao-Fang Lian, Yun-Zhang Li. Reducing subspace frame multiresolution analysis and frame wavelets. Communications on Pure & Applied Analysis, 2007, 6 (3) : 741-756. doi: 10.3934/cpaa.2007.6.741 |
[9] |
Hayden Schaeffer, John Garnett, Luminita A. Vese. A texture model based on a concentration of measure. Inverse Problems & Imaging, 2013, 7 (3) : 927-946. doi: 10.3934/ipi.2013.7.927 |
[10] |
Lok Ming Lui, Chengfeng Wen, Xianfeng Gu. A conformal approach for surface inpainting. Inverse Problems & Imaging, 2013, 7 (3) : 863-884. doi: 10.3934/ipi.2013.7.863 |
[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 & Imaging, 2010, 4 (1) : 191-210. doi: 10.3934/ipi.2010.4.191 |
[13] |
Riccardo March, Giuseppe Riey. Analysis of a variational model for motion compensated inpainting. Inverse Problems & Imaging, 2017, 11 (6) : 997-1025. doi: 10.3934/ipi.2017046 |
[14] |
Fahd Jarad, Thabet Abdeljawad. Variational principles in the frame of certain generalized fractional derivatives. Discrete & Continuous Dynamical Systems - S, 2018, 0 (0) : 695-708. doi: 10.3934/dcdss.2020038 |
[15] |
Grégory Faye, Pascal Chossat. A spatialized model of visual texture perception using the structure tensor formalism. Networks & Heterogeneous Media, 2013, 8 (1) : 211-260. doi: 10.3934/nhm.2013.8.211 |
[16] |
Hong Zhou, M. Gregory Forest, Qi Wang. Anchoring-induced texture & shear banding of nematic polymers in shear cells. Discrete & Continuous Dynamical Systems - B, 2007, 8 (3) : 707-733. doi: 10.3934/dcdsb.2007.8.707 |
[17] |
Sofian De Clercq, Koen De Turck, Bart Steyaert, Herwig Bruneel. Frame-bound priority scheduling in discrete-time queueing systems. Journal of Industrial & Management Optimization, 2011, 7 (3) : 767-788. doi: 10.3934/jimo.2011.7.767 |
[18] |
Jianbin Yang, Cong Wang. A wavelet frame approach for removal of mixed Gaussian and impulse noise on surfaces. Inverse Problems & Imaging, 2017, 11 (5) : 783-798. doi: 10.3934/ipi.2017037 |
[19] |
Nicolai Sætran, Antonella Zanna. Chains of rigid bodies and their numerical simulation by local frame methods. Journal of Computational Dynamics, 2019, 6 (2) : 409-427. doi: 10.3934/jcd.2019021 |
[20] |
Song Li, Junhong Lin. Compressed sensing with coherent tight frames via $l_q$-minimization for $0 < q \leq 1$. Inverse Problems & Imaging, 2014, 8 (3) : 761-777. doi: 10.3934/ipi.2014.8.761 |
2018 Impact Factor: 1.469
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