Tavakkol, E.; Hosseini, S. M.; Hosseini, A. Image denoising via a new hybrid TGV model based on Shannon interpolation. (English) Zbl 1538.94013 Iran. J. Numer. Anal. Optim. 12, No. 2, 371-396 (2022). MSC: 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Herrmann, Marc; Herzog, Roland; Schmidt, Stephan; Vidal-Núñez, José A calculus for non-smooth shape optimization with applications to geometric inverse problems. (English) Zbl 1543.49033 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 101-120 (2022). Reviewer: Merlin Fallahpour (Basel) MSC: 49Q10 49N45 49N15 × Cite Format Result Cite Review PDF Full Text: DOI
Herrmann, Marc; Herzog, Roland; Kröner, Heiko; Schmidt, Stephan; Vidal, José Analysis and an interior-point approach for TV image reconstruction problems on smooth surfaces. (English) Zbl 1408.94240 SIAM J. Imaging Sci. 11, No. 2, 889-922 (2018). MSC: 94A08 92C55 68U10 49M29 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Abergel, Rémy; Moisan, Lionel The Shannon total variation. (English) Zbl 1382.94005 J. Math. Imaging Vis. 59, No. 2, 341-370 (2017). MSC: 94A08 68U10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Suarez, Jean-Piero; Jacobs, Gustaaf B. Regularization of singularities in the weighted summation of Dirac-delta functions for the spectral solution of hyperbolic conservation laws. (English) Zbl 1377.65137 J. Sci. Comput. 72, No. 3, 1080-1092 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35L65 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bredies, Kristian; Holler, Martin A TGV-based framework for variational image decompression, zooming, and reconstruction. II: Numerics. (English) Zbl 1333.94007 SIAM J. Imaging Sci. 8, No. 4, 2851-2886 (2015). MSC: 94A08 49M29 65F22 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Bredies, Kristian; Holler, Martin A TGV-based framework for variational image decompression, zooming, and reconstruction. I: Analytics. (English) Zbl 1333.94006 SIAM J. Imaging Sci. 8, No. 4, 2814-2850 (2015). MSC: 94A08 49M29 65F22 49K30 × Cite Format Result Cite Review PDF Full Text: DOI
Lermé, Nicolas; Malgouyres, François; Hamoir, Dominique; Thouin, Emmanuelle Bayesian image restoration for mosaic active imaging. (English) Zbl 1302.68299 Inverse Probl. Imaging 8, No. 3, 733-760 (2014). MSC: 68U10 94A08 62M40 90C27 90C30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhan, Yi; Li, Sheng Jie; Li, Meng A bidirectional flow joint Sobolev gradient for image interpolation. (English) Zbl 1299.94033 Math. Probl. Eng. 2013, Article ID 571052, 8 p. (2013). MSC: 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing A customized proximal point algorithm for convex minimization with linear constraints. (English) Zbl 1287.90048 Comput. Optim. Appl. 56, No. 3, 559-572 (2013). MSC: 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Larnier, Stanislas; Fehrenbach, Jérôme; Masmoudi, Mohamed The topological gradient method: from optimal design to image processing. (English) Zbl 1262.94005 Milan J. Math. 80, No. 2, 411-441 (2012). MSC: 94A08 49Q10 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lenzen, Frank; Scherzer, Otmar Partial differential equations for zooming, deinterlacing and dejittering. (English) Zbl 1235.68312 Int. J. Comput. Vis. 92, No. 2, 162-176 (2011). MSC: 68U10 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhan, Yi The nonlocal \(p\)-Laplacian evolution for image interpolation. (English) Zbl 1235.94029 Math. Probl. Eng. 2011, Article ID 837426, 11 p. (2011). MSC: 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Mochizuki, Yoshihiko; Kameda, Yusuke; Imiya, Atsushi; Sakai, Tomoya; Imaizumi, Takashi Variational method for super-resolution optical flow. (English) Zbl 1213.94042 Signal Process. 91, No. 7, 1535-1567 (2011). MSC: 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Roussos, Anastasios; Maragos, Petros Reversible interpolation of vectorial images by an anisotropic diffusion-projection PDE. (English) Zbl 1483.65034 Int. J. Comput. Vis. 84, No. 2, 130-145 (2009). MSC: 65D18 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Galić, Irena; Weickert, Joachim; Welk, Martin; Bruhn, Andrés; Belyaev, Alexander; Seidel, Hans-Peter Image compression with anisotropic diffusion. (English) Zbl 1448.94012 J. Math. Imaging Vis. 31, No. 2-3, 255-269 (2008). MSC: 94A08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Marquina, Antonio; Osher, Stanley J. Image super-resolution by TV-regularization and Bregman iteration. (English) Zbl 1203.94014 J. Sci. Comput. 37, No. 3, 367-382 (2008). MSC: 94A08 94A20 44A35 65D18 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Almansa, A.; Ballester, C.; Caselles, V.; Haro, G. A TV based restoration model with local constraints. (English) Zbl 1218.94007 J. Sci. Comput. 34, No. 3, 209-236 (2008). MSC: 94A08 68U10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chan, Tony F.; Zhou, Hao-Min Total variation wavelet thresholding. (English) Zbl 1125.65124 J. Sci. Comput. 32, No. 2, 315-341 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 68U10 94A08 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Cha, Youngjoon; Kim, Seongjai Edge-forming methods for image zooming. (English) Zbl 1478.94020 J. Math. Imaging Vis. 25, No. 3, 353-364 (2006). MSC: 94A08 68U10 68T45 × Cite Format Result Cite Review PDF Full Text: DOI
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min Total variation wavelet inpainting. (English) Zbl 1478.94019 J. Math. Imaging Vis. 25, No. 1, 107-125 (2006). MSC: 94A08 94A12 65T60 68U10 × Cite Format Result Cite Review PDF Full Text: DOI