[1] |
Amiri, S., Salt and pepper noise removal using pixon-based segmentation and adaptive median filter, J AI Data Min, 8, 1, 119-126 (2019) |
[2] |
Arridge, S.; Maass, P.; Oktem, O.; Schonlieb, C., Solving inverse problems using data-driven models, Acta Numer, 28, 1-174 (2019) · Zbl 1429.65116 · doi:10.1017/S0962492919000059 |
[3] |
Athey, S.; Bayati, M.; Doudchenko, N.; Imbens, G.; Khosravi, K., Matrix completion methods for causal panel data models, J Am Stat Assoc, 116, 536, 1716-1730 (2021) · Zbl 1506.15030 · doi:10.1080/01621459.2021.1891924 |
[4] |
Bakushinsky A, Kokurin M, Kokurin M (2018) Regularization Algorithms for Ill-Posed Problems. De Gruyter · Zbl 1436.65004 |
[5] |
Bandala-Hernandez, H.; Rocha-Pérez, J.; Díaz-Sánchez, A., Weighted median filters: an analog implementation, Integration, 55, 227-231 (2016) · doi:10.1016/j.vlsi.2016.07.003 |
[6] |
Beck A (2014) Introduction to Nonlinear Optimization: Theory, Algorithms, and Applications with MATLAB. SIAM · Zbl 1320.90001 |
[7] |
Bini, A., Image restoration via DOST and total variation regularisation, IET Image Proc, 13, 3, 458-468 (2019) · doi:10.1049/iet-ipr.2018.5504 |
[8] |
Boyd, S.; Parikh, N.; Chu, E.; Peleato, B.; Eckstein, J., Distributed optimization and statistical learning via the alternating direction method of multipliers, Found Trends Mach Learn, 3, 1, 1-122 (2011) · Zbl 1229.90122 · doi:10.1561/2200000016 |
[9] |
Bredies, K.; Holler, M., Higher-order total variation approaches and generalisations, Inverse Prob, 36, 12 (2021) · Zbl 1453.92154 · doi:10.1088/1361-6420/ab8f80 |
[10] |
Bredies, K.; Kunisch, K.; Pock, T., Total Generalized Variation, SIAM J Image Sci, 3, 3, 492-526 (2010) · Zbl 1195.49025 · doi:10.1137/090769521 |
[11] |
Buades, A.; Coll, B.; Morel, J., The staircasing effect in neighborhood filters and its solution, IEEE Trans Image Process, 15, 6, 1499-1505 (2006) · doi:10.1109/TIP.2006.871137 |
[12] |
Cai, J.; Candés, E.; Shen, Z., A singular value thresholding algorithm for matrix completion, SIAM J Optim, 20, 4, 1956-1982 (2010) · Zbl 1201.90155 · doi:10.1137/080738970 |
[13] |
Chambolle, A.; Lions, P., Image recovery via total variation minimization and related problems, Numer Math, 76, 2, 167-188 (1997) · Zbl 0874.68299 · doi:10.1007/s002110050258 |
[14] |
Chan, T.; Esedoglu, S., Aspects of total variation regularized \(L^1\) function approximation, SIAM J Appl Math, 65, 5, 1817-1837 (2005) · Zbl 1096.94004 |
[15] |
Chan, R.; Ho, C.; Nikolova, M., Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization, IEEE Trans Image Process, 14, 10, 1479-1485 (2005) · doi:10.1109/TIP.2005.852196 |
[16] |
Chen, C.; He, B.; Ye, Y.; Yuan, X., The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent, Math Program, 155, 1-2, 57-79 (2016) · Zbl 1332.90193 · doi:10.1007/s10107-014-0826-5 |
[17] |
Erkan, U.; Gokrem, L.; Enginoglu, S., Different applied median filter in salt and pepper noise, Comput Electr Eng, 70, 789-798 (2018) · doi:10.1016/j.compeleceng.2018.01.019 |
[18] |
Gabay, D.; Mercier, B., A dual algorithm for the solution of nonlinear variational problems via finite element approximation, Comput Math Appl, 2, 1, 17-40 (1976) · Zbl 0352.65034 · doi:10.1016/0898-1221(76)90003-1 |
[19] |
Glowinski, R.; Marroco, A., Sur lapproximation, par éléments finis dordre un, et la résolution, par pénalisation-dualité, dune classe de problèmes de Dirichlet non linéares, ESAIM Math Model Numer Anal, 9, R2, 41-76 (1975) · Zbl 0368.65053 |
[20] |
Glowinski, R.; Osher, S.; Yin, W., Splitting Methods in Communication. Science, and Engineering (2016), New York: Springer, New York · Zbl 1362.65002 · doi:10.1007/978-3-319-41589-5 |
[21] |
Goyal, G., Improved image denoising filter using low rank and total variation, Global J Comp Sci Technol, 16, 1, 13-15 (2016) |
[22] |
Guo, X.; Li, F.; Ng, M., A fast \(l1\)-TV algorithm for image Restoration, SIAM J Sci Comput, 31, 3, 2322-2341 (2009) · Zbl 1191.65029 |
[23] |
Guo, W.; Qin, J.; Yin, W., A new detail-preserving regularization scheme, SIAM J Imag Sci, 7, 2, 1309-1334 (2014) · Zbl 1299.65130 · doi:10.1137/120904263 |
[24] |
Hager, W.; Hearn, W.; Pardalos, P., Large Scale Optimization (1994), New York: Springer, New York · doi:10.1007/978-1-4613-3632-7 |
[25] |
Han, D., A survey on some recent developments of alternating direction method of multipliers, J Oper Res Soc China (2022) · Zbl 1499.90158 · doi:10.1007/s40305-021-00368-3 |
[26] |
Jia, X.; Feng, X.; Wang, W., Rank constrained nuclear norm minimization with application to image denoising, Signal Process, 129, 1-11 (2016) · doi:10.1016/j.sigpro.2016.05.026 |
[27] |
Kongskov, R.; Dong, Y., Directional total generalized variation regularization for impulse noise removal, Scale Space Var Methods Comput Vis, 10302, 221-231 (2017) · Zbl 1489.94013 · doi:10.1007/978-3-319-58771-4_18 |
[28] |
Liu, P., Hybrid higher-order total variation model for multiplicative noise removal, IET Image Proc, 14, 5, 862-873 (2020) · doi:10.1049/iet-ipr.2018.5930 |
[29] |
Liu, G.; Huang, T.; Liu, J., High-order TVL1-based images restoration and spatially adapted regularization parameter selection, Comput Math Appl, 67, 10, 2015-2026 (2014) · Zbl 1366.94058 · doi:10.1016/j.camwa.2014.04.008 |
[30] |
Liu, G.; Huang, T.; Liu, J.; Lv, X., Total variation with overlapping group sparsity for image deblurring under impulse noise, PLoS One, 10, 4 (2015) · doi:10.1371/journal.pone.0122562 |
[31] |
Liu, J.; Huang, T.; Selesnick, I., Image restoration using total variation with overlapping group sparsity, Inf Sci, 295, 232-246 (2015) · Zbl 1360.94042 · doi:10.1016/j.ins.2014.10.041 |
[32] |
Lu, C.; Tang, J.; Yan, S.; Lin, Z., Nonconvex nonsmooth low rank minimization via iteratively reweighted nuclear norm, IEEE Trans Image Process, 25, 2, 829-839 (2016) · Zbl 1408.94866 · doi:10.1109/TIP.2015.2511584 |
[33] |
Palomar, D.; Eldar, Y., Convex Optimization in Signal Processing and Communications (2011), Cambridge: Cambridge University Press, Cambridge · Zbl 1200.90009 |
[34] |
Parisotto, S.; Masnou, S.; Schönlieb, C., Higher-order total directional variation:analysis, SIAM J Imag Sci, 13, 1, 474-496 (2020) · Zbl 1444.47020 · doi:10.1137/19M1239210 |
[35] |
Peyré G, Fadili J (2011) Group sparsity with overlapping partition functions. In: European Signal Processing Conference, 303-307 |
[36] |
Ryu, E.; Liu, Y.; Yin, W., Douglas-Rachford splitting and ADMM for pathological convex optimization, Comput Optim Appl, 74, 747-778 (2019) · Zbl 1427.90223 · doi:10.1007/s10589-019-00130-9 |
[37] |
Selesnick I, Chen P (2013) Total variation denoising with overlapping group sparsity. In: IEEE International Conference on Acoustics, Speech, and Signal Processing, 5696-5700 |
[38] |
Sreedevi, S.; Sherly, E., A new and efficient approach for the removal of high density impulse noise in mammogram, J Comput Aided Eng Technol, 12, 3, 370-391 (2020) · doi:10.1504/IJCAET.2020.106247 |
[39] |
Srinivasan, K.; Ebenezer, D., A new fast and efficient decision-based algorithm for removal of high-density impulse noises, IEEE Signal Process Lett, 14, 3, 189-192 (2007) · doi:10.1109/LSP.2006.884018 |
[40] |
Toh, K.; Isa, N., Noise adaptive fuzzy switching median filter for salt-and-pepper noise reduction, IEEE Signal Process Lett, 17, 3, 281-284 (2010) · doi:10.1109/LSP.2009.2038769 |
[41] |
Toh, K.; Ibrahim, H.; Mahyuddin, M., Salt-and-pepper noise detection and reduction using fuzzy switching median filter, IEEE Trans Consum Electron, 54, 4, 1956-1961 (2008) · doi:10.1109/TCE.2008.4711258 |
[42] |
Wang, S.; Wu, C., A new impulse detection and filtering method for removal of wide range impulse noises, Pattern Recogn, 42, 9, 2194-2202 (2009) · Zbl 1175.68523 · doi:10.1016/j.patcog.2009.01.022 |
[43] |
Wang, G.; Li, W.; Huang, Y., Medical image fusion based on hybrid three-layer decomposition model and nuclear norm, Comput Biol Med, 129 (2021) · doi:10.1016/j.compbiomed.2020.104179 |
[44] |
Yin, W.; Goldfarb, D.; Osher, S., The total variation regularized \(L^1\) model for multiscale decomposition, Multiscale Model Simul, 6, 1, 190-211 (2007) · Zbl 1355.49037 |
[45] |
Zhang, S.; Karim, M., A new impulse detector for switching median filters, IEEE Signal Process Lett, 9, 11, 360-363 (2002) · doi:10.1109/LSP.2002.805310 |