-
1
-
-
0042430598
-
Wavelet algorithms for high-resolution image reconstruction
-
Chan, R., Chan, T., Shen, L., Shen, Z.: Wavelet algorithms for high-resolution image reconstruction. SIAM J. Sci. Comput. 24(4), 1408-1432 (2003)
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, Issue.4
, pp. 1408-1432
-
-
Chan, R.1
Chan, T.2
Shen, L.3
Shen, Z.4
-
2
-
-
77952921188
-
Split Bregman methods and frame based image restoration
-
Cai, J., Osher, S., Shen, Z.: Split Bregman methods and frame based image restoration. Multiscale Model. Simul. 8(2), 337-369 (2009)
-
(2009)
Multiscale Model. Simul.
, vol.8
, Issue.2
, pp. 337-369
-
-
Cai, J.1
Osher, S.2
Shen, Z.3
-
3
-
-
27844460570
-
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
-
Elad, M., Starck, J., Querre, P., Donoho, D.: Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Appl. Comput. Harmon. Anal. 19(3), 340-358 (2005)
-
(2005)
Appl. Comput. Harmon. Anal.
, vol.19
, Issue.3
, pp. 340-358
-
-
Elad, M.1
Starck, J.2
Querre, P.3
Donoho, D.4
-
4
-
-
27744574209
-
Image decomposition via the combination of sparse representations and a variational approach
-
Starck, J., Elad, M., Donoho, D.: Image decomposition via the combination of sparse representations and a variational approach. IEEE Trans. Image Process. 14(10), 1570-1582 (2005)
-
(2005)
IEEE Trans. Image Process.
, vol.14
, Issue.10
, pp. 1570-1582
-
-
Starck, J.1
Elad, M.2
Donoho, D.3
-
7
-
-
79957573389
-
Compressed sensing with coherent and redundant dictionaries
-
Candes, E., Eldar, Y., Needell, D., Randall, P.: Compressed sensing with coherent and redundant dictionaries. Appl. Comput. Harmon. Ann. (2010)
-
(2010)
Appl. Comput. Harmon. Ann.
-
-
Candes, E.1
Eldar, Y.2
Needell, D.3
Randall, P.4
-
8
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Candes, E., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52(2), 489-509 (2006)
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.1
Romberg, J.2
Tao, T.3
-
9
-
-
33645712892
-
Compressed sensing
-
Donoho, D.: Compressed sensing. IEEE Trans. Inf. Theory 52, 1289-1306 (2006)
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, pp. 1289-1306
-
-
Donoho, D.1
-
10
-
-
84893709620
-
0minimization of wavelet frame based image restoration
-
0minimization of wavelet frame based image restoration. UCLA CAM Report, vol. 11-32 (2011)
-
(2011)
UCLA CAM Report
, vol.11
, Issue.32
-
-
Zhang, Y.1
Dong, B.2
Lu, Z.3
-
11
-
-
0016950796
-
Augmented Lagrangians and applications of the proximal point algorithm in convex programming
-
Rockafellar, R.: Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Math. Oper. Res. 97-116 (1976)
-
(1976)
Math. Oper. Res. 97-116
-
-
Rockafellar, R.1
-
12
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60, 259-268 (1992)
-
(1992)
Physica D
, vol.60
, pp. 259-268
-
-
Rudin, L.1
Osher, S.2
Fatemi, E.3
-
13
-
-
0031492191
-
Image recovery via total variation minimization and related problems
-
Chambolle, A., Lions, P.: Image recovery via total variation minimization and related problems. Numer. Math. 76(2), 167-188 (1997)
-
(1997)
Numer. Math.
, vol.76
, Issue.2
, pp. 167-188
-
-
Chambolle, A.1
Lions, P.2
-
17
-
-
84892284941
-
Total variation image restoration: Overview and recent developments
-
Chan, T, Esedoglu, S., Park, F., Yip, A.: Total variation image restoration: overview and recent developments. In: Handbook of Mathematical Models in Computer Vision, pp. 17-31 (2006)
-
(2006)
Handbook of Mathematical Models in Computer Vision
, pp. 17-31
-
-
Chan, T.1
Esedoglu, S.2
Park, F.3
Yip, A.4
-
19
-
-
60649121415
-
A framelet-based approach for image inpainting
-
Chan, R., Shen, L., Shen, Z.: A framelet-based approach for image inpainting. Res. Rep. 4, 325 (2005)
-
(2005)
Res. Rep.
, vol.4
, pp. 325
-
-
Chan, R.1
Shen, L.2
Shen, Z.3
-
20
-
-
78049353841
-
Linearized Bregman iterations for frame-based image deblurring
-
Cai, J., Osher, S., Shen, Z.: Linearized Bregman iterations for frame-based image deblurring. SIAM J. Imaging Sci. 2(1), 226-252 (2009)
-
(2009)
SIAM J. Imaging Sci.
, vol.2
, Issue.1
, pp. 226-252
-
-
Cai, J.1
Osher, S.2
Shen, Z.3
-
21
-
-
84864229832
-
Image restorations: Total variation, wavelet frames and beyond
-
accepted
-
Cai, J., Dong, B., Osher, S., Shen, Z.: Image restorations: total variation, wavelet frames and beyond. J. Am. Math. Soc. (2012, accepted)
-
(2012)
J. Am. Math. Soc.
-
-
Cai, J.1
Dong, B.2
Osher, S.3
Shen, Z.4
-
22
-
-
0031571549
-
Affine systems in L2 (R): The analysis of the analysis operator
-
Ron, A., Shen, Z.: Affine systems in L2 (R): the analysis of the analysis operator. J. Funct. Anal. 148(2), 408-447 (1997)
-
(1997)
J. Funct. Anal.
, vol.148
, Issue.2
, pp. 408-447
-
-
Ron, A.1
Shen, Z.2
-
23
-
-
0000133685
-
Ten lectures on wavelets
-
SIAM, Philadelphia
-
Daubechies, I.: Ten Lectures on Wavelets. CBMS-NSF Lecture Notes, vol. 61. SIAM, Philadelphia (1992)
-
(1992)
CBMS-NSF Lecture Notes
, vol.61
-
-
Daubechies, I.1
-
24
-
-
0242573570
-
Framelets: Mra-based constructions of wavelet frames
-
Daubechies, I., Han, B., Ron, A., Shen, Z.: Framelets: Mra-based constructions of wavelet frames. Appl. Comput. Harmon. Anal. 14, 1-46 (2003)
-
(2003)
Appl. Comput. Harmon. Anal.
, vol.14
, pp. 1-46
-
-
Daubechies, I.1
Han, B.2
Ron, A.3
Shen, Z.4
-
25
-
-
78649765600
-
Iteratively solving linear inverse problems under general convex constraints
-
Daubechies, I., Teschke, G., Vese, L.: Iteratively solving linear inverse problems under general convex constraints. Inverse Probl. Theor. Imaging 1(1), 29 (2007)
-
(2007)
Inverse Probl. Theor. Imaging
, vol.1
, Issue.1
, pp. 29
-
-
Daubechies, I.1
Teschke, G.2
Vese, L.3
-
26
-
-
67349207267
-
Sparse representations and Bayesian image inpainting
-
Fadili, M., Starck, J.: Sparse representations and Bayesian image inpainting. In: Proc. SPARS, vol. 5 (2005)
-
(2005)
Proc. SPARS
, vol.5
-
-
Fadili, M.1
Starck, J.2
-
27
-
-
60649102899
-
Inpainting and zooming using sparse representations
-
Fadili, M., Starck, J., Murtagh, F: Inpainting and zooming using sparse representations. Comput. J. 52(1), 64 (2009)
-
(2009)
Comput. J.
, vol.52
, Issue.1
, pp. 64
-
-
Fadili, M.1
Starck, J.2
Murtagh, F.3
-
28
-
-
0142200827
-
An EM algorithm for wavelet-based image restoration
-
Figueiredo, M., Nowak, R.: An EM algorithm for wavelet-based image restoration. IEEE Trans. Image Process. 12(8), 906-916 (2003)
-
(2003)
IEEE Trans. Image Process.
, vol.12
, Issue.8
, pp. 906-916
-
-
Figueiredo, M.1
Nowak, R.2
-
29
-
-
33645665466
-
A bound optimization approach to wavelet-based image deconvolution
-
ICIP 2005, IEEE, New York
-
Figueiredo, M., Nowak, R.: A bound optimization approach to wavelet-based image deconvolution. In: IEEE International Conference on Image Processing. ICIP 2005, vol. 2, np. II-782. IEEE, New York (2005)
-
(2005)
IEEE International Conference on Image Processing
, vol.2
-
-
Figueiredo, M.1
Nowak, R.2
-
30
-
-
67349242989
-
Convergence analysis of tight framelet approach for missing data recovery
-
Cai, J., Chan, R., Shen, L., Shen, Z.: Convergence analysis of tight framelet approach for missing data recovery. Adv. Comput. Math. 1-27 (2008)
-
(2008)
Adv. Comput. Math.
, pp. 1-27
-
-
Cai, J.1
Chan, R.2
Shen, L.3
Shen, Z.4
-
31
-
-
77957073977
-
Simultaneous cartoon and texture inpainting
-
Cai, J., Chan, R., Shen, Z.: Simultaneous cartoon and texture inpainting. In: Inverse Problems and Imaging (IPI), vol. 4, pp. 379-395 (2010)
-
(2010)
Inverse Problems and Imaging (IPI)
, vol.4
, pp. 379-395
-
-
Cai, J.1
Chan, R.2
Shen, Z.3
-
32
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
Candes, E., Tao, T: Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. Theory 52(12), 5406-5425 (2006)
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candes, E.1
Tao, T.2
-
33
-
-
29144439194
-
Decoding by linear programming
-
Candes, E., Tao, T: Decoding by linear programming. IEEE Trans. Inf. Theory 51(12), 4203-4215 (2005)
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candes, E.1
Tao, T.2
-
34
-
-
84863162148
-
Penalty decomposition methods for l 0-norm minimization
-
Department of Mathematics, Simon Fraser University, Canada
-
Lu, Z., Zhang, Y: Penalty decomposition methods for l 0-norm minimization. Technical report, Department of Mathematics, Simon Fraser University, Canada (2010)
-
(2010)
Technical Report
-
-
Lu, Z.1
Zhang, Y.2
-
35
-
-
34548724437
-
Exact reconstructions of sparse signals via nonconvex minimization
-
Chartrand, R.: Exact reconstructions of sparse signals via nonconvex minimization. IEEE Signal Process. Lett. 14, 707-710 (2007)
-
(2007)
IEEE Signal Process. Lett.
, vol.14
, pp. 707-710
-
-
Chartrand, R.1
-
39
-
-
84969334819
-
The split Bregman algorithm for L1 regularized problems
-
Goldstein, T., Osher, S.: The split Bregman algorithm for L1 regularized problems. SIAM J. Imaging Sci. 2(2), 323-343 (2009)
-
(2009)
SIAM J. Imaging Sci.
, vol.2
, Issue.2
, pp. 323-343
-
-
Goldstein, T.1
Osher, S.2
-
40
-
-
78149463074
-
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction
-
Zhang, X., Burger, M., Bresson, X., Osher, S.: Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. SIAM J. Imaging Sci. 3, 253 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, pp. 253
-
-
Zhang, X.1
Burger, M.2
Bresson, X.3
Osher, S.4
-
41
-
-
0002211517
-
A dual algorithm for the solution of nonlinear variational problems via finite element approximation
-
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)
-
(1976)
Comput. Math. Appl.
, vol.2
, Issue.1
, pp. 17-40
-
-
Gabay, D.1
Mercier, B.2
-
43
-
-
0027113845
-
On the Douglas "Rachford splitting method and the proximal point algorithm for maximal monotone operators"
-
Eckstein, J., Bertsekas, D.: On the Douglas "Rachford splitting method and the proximal point algorithm for maximal monotone operators". Math. Program. 55(1), 293-318 (1992)
-
(1992)
Math. Program.
, vol.55
, Issue.1
, pp. 293-318
-
-
Eckstein, J.1
Bertsekas, D.2
-
44
-
-
0014604308
-
Multiplier and gradient methods
-
Hestenes, M.: Multiplier and gradient methods. J. Optim. Theory Appl. 4(5), 303-320 (1969)
-
(1969)
J. Optim. Theory Appl.
, vol.4
, Issue.5
, pp. 303-320
-
-
Hestenes, M.1
-
45
-
-
0002380692
-
A method for non-linear constraints in minimization problems
-
Fletcher, R. ed., Academic Press, New York
-
Powell, M.: A method for non-linear constraints in minimization problems. In: Fletcher, R. (ed.) Optimization, pp. 283-298. Academic Press, New York (1969)
-
(1969)
Optimization
, pp. 283-298
-
-
Powell, M.1
-
47
-
-
79551532991
-
Applications of Lagrangian-based alternating direction methods and connections to split Bregman
-
Esser, E.: Applications of Lagrangian-based alternating direction methods and connections to split Bregman. CAM Rep. 9, 31 (2009)
-
(2009)
CAM Rep.
, vol.9
, pp. 31
-
-
Esser, E.1
-
48
-
-
69049118419
-
Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model
-
Tai, X., Wu, C.: Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model. In: Scale Space and Variational Methods in Computer Vision, pp. 502-513 (2009)
-
(2009)
Scale Space and Variational Methods in Computer Vision
, pp. 502-513
-
-
Tai, X.1
Wu, C.2
-
49
-
-
0029307534
-
De-noising by soft-thresholding
-
Donoho, D.: De-noising by soft-thresholding. IEEE Trans. Inf. Theory 41, 613-627 (1995)
-
(1995)
IEEE Trans. Inf. Theory
, vol.41
, pp. 613-627
-
-
Donoho, D.1
-
50
-
-
35248814904
-
Rotationally invariant wavelet shrinkage
-
Mrázek, P., Weickert, J.: Rotationally invariant wavelet shrinkage. Pattern Recognit 156-163 (2003)
-
(2003)
Pattern Recognit
, pp. 156-163
-
-
Mrázek, P.1
Weickert, J.2
-
51
-
-
0009970854
-
Augmented Lagrangian methods and proximal point methods for convex optimization
-
Iusem, A.: Augmented Lagrangian methods and proximal point methods for convex optimization. Investig. Oper. 8, 11-49 (1999)
-
(1999)
Investig. Oper.
, vol.8
, pp. 11-49
-
-
Iusem, A.1
-
52
-
-
0001702688
-
Nonlinear proximal point algorithms using Bregman functions, with applications to convex programming
-
Eckstein, J.: Nonlinear proximal point algorithms using Bregman functions, with applications to convex programming. Math. Oper. Res. 202-226 (1993)
-
(1993)
Math. Oper. Res.
, pp. 202-226
-
-
Eckstein, J.1
-
53
-
-
67651035078
-
An efficient primal-dual hybrid gradient algorithm for total variation image restoration
-
Zhu, M., Chan, T.: An efficient primal-dual hybrid gradient algorithm for total variation image restoration. Mathematics Department, UCLA, CAM Report, pp. 08-34 (2007)
-
(2007)
Mathematics Department, UCLA, CAM Report
, pp. 08-34
-
-
Zhu, M.1
Chan, T.2
-
54
-
-
51949114453
-
An efficient algorithm for compressed mr imaging using total variation and wavelets
-
CVPR 2008, IEEE, New York
-
Ma, S., Yin, W., Zhang, Y., Chakraborty, A.: An efficient algorithm for compressed mr imaging using total variation and wavelets. In: IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2008, pp. 1-8. IEEE, New York (2008)
-
(2008)
IEEE Conference on Computer Vision and Pattern Recognition
, pp. 1-8
-
-
Ma, S.1
Yin, W.2
Zhang, Y.3
Chakraborty, A.4
-
55
-
-
85012251675
-
A new alternating minimization algorithm for total variation image reconstruction
-
Wang, Y., Yang, J., Yin, W., Zhang, Y.: A new alternating minimization algorithm for total variation image reconstruction. SIAM J. Imaging Sci. 1(3), 248-272 (2008)
-
(2008)
SIAM J. Imaging Sci.
, vol.1
, Issue.3
, pp. 248-272
-
-
Wang, Y.1
Yang, J.2
Yin, W.3
Zhang, Y.4
-
56
-
-
77949723995
-
A fast tvl1-l2 minimization algorithm for signal reconstruction from partial Fourier data
-
Yang, J., Zhang, Y., Yin, W.: A fast tvl1-l2 minimization algorithm for signal reconstruction from partial Fourier data. IEEE J. Sel. Top. Signal Process. 4, 288-297 (2009)
-
(2009)
IEEE J. Sel. Top. Signal Process.
, vol.4
, pp. 288-297
-
-
Yang, J.1
Zhang, Y.2
Yin, W.3
-
57
-
-
78651555630
-
Sparse signal reconstruction via iterative support detection
-
Wang, Y., Yin, W.: Sparse signal reconstruction via iterative support detection. SIAM J. Imaging Sci. 3(3), 462-491 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, Issue.3
, pp. 462-491
-
-
Wang, Y.1
Yin, W.2
-
58
-
-
84863015738
-
Fast algorithms for image reconstruction with application to partially parallel MR imaging
-
Chen, Y., Hager, W., Huang, F., Phan, D., Ye, X., Yin, W.: Fast algorithms for image reconstruction with application to partially parallel MR imaging. SIAM J. Imaging Sci. 5(1), 90-118 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.5
, Issue.1
, pp. 90-118
-
-
Chen, Y.1
Hager, W.2
Huang, F.3
Phan, D.4
Ye, X.5
Yin, W.6
-
59
-
-
84868471063
-
-
Preprint
-
Cai, X., Gu, G., He, B., Yuan, X.: A relaxed customized proximal point algorithm for separable convex programming. Preprint (2011)
-
(2011)
A Relaxed Customized Proximal Point Algorithm for Separable Convex Programming
-
-
Cai, X.1
Gu, G.2
He, B.3
Yuan, X.4
-
60
-
-
0442312210
-
Regularization of wavelet approximations
-
Antoniadis, A., Fan, J.: Regularization of wavelet approximations. J. Am. Stat. Assoc. 96(455), 939-967 (2001)
-
(2001)
J. Am. Stat. Assoc.
, vol.96
, Issue.455
, pp. 939-967
-
-
Antoniadis, A.1
Fan, J.2
-
61
-
-
0001794309
-
Threshold selection for wavelet shrinkage of noisy data
-
IEEE, New York
-
Donoho, D., Johnstone, I.: Threshold selection for wavelet shrinkage of noisy data. In: Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE, pp. A24-A25. IEEE, New York (1994)
-
(1994)
Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE
-
-
Donoho, D.1
Johnstone, I.2
-
62
-
-
0031651233
-
Ergodic convergence in subgradient optimization
-
Larsson, T., Patriksson, M., Stromberg, A.: Ergodic convergence in subgradient optimization. Optim. Methods Softw. 9(1), 93-120 (1998)
-
(1998)
Optim. Methods Softw.
, vol.9
, Issue.1
, pp. 93-120
-
-
Larsson, T.1
Patriksson, M.2
Stromberg, A.3
-
63
-
-
0037876458
-
Ergodic, primal convergence in dual subgradient schemes for convex programming
-
Larsson, T., Patriksson, M., Strömberg, A.: Ergodic, primal convergence in dual subgradient schemes for convex programming. Math. Program. 86(2), 283-312 (1999)
-
(1999)
Math. Program.
, vol.86
, Issue.2
, pp. 283-312
-
-
Larsson, T.1
Patriksson, M.2
Strömberg, A.3
|