-
1
-
-
77949725877
-
Image restoration with compound regularization using a Bregman iterative algorithm
-
Saint-Malo, France
-
M. Afonso, J. Bioucas-Dias, and M. Figueiredo, "Image restoration with compound regularization using a Bregman iterative algorithm," in Proc. Workshop Signal Process. With Adaptive Sparse Structured Representations SPARS'09, Saint-Malo, France, 2009.
-
(2009)
Proc. Workshop Signal Process. with Adaptive Sparse Structured Representations SPARS'09
-
-
Afonso, M.1
Bioucas-Dias, J.2
Figueiredo, M.3
-
2
-
-
55649115527
-
A simple proof of the restricted isometry property for random matrices
-
R. Baraniuk, M. Davenport, R. DeVore, and M.Wakin, "A simple proof of the restricted isometry property for random matrices," Constructive Approx., vol.28, pp. 253-263, 2008.
-
(2008)
Constructive Approx.
, vol.28
, pp. 253-263
-
-
Baraniuk, R.1
Davenport, M.2
Devore, R.3
Wakin, M.4
-
3
-
-
33645688413
-
-
[Online]. Available:
-
D. Baron, M. Duarte, S. Sarvotham, M. B.Wakin, and R. G. Baraniuk, "Distributed compressed sensing," [Online]. Available: http://dsp.rice. edu/cs/DCS112005.pdf
-
Distributed Compressed Sensing
-
-
Baron, D.1
Duarte, M.2
Sarvotham, S.3
Wakin, M.B.4
Baraniuk, R.G.5
-
4
-
-
24644484251
-
1-unified variational framework for image restoration
-
1-unified variational framework for image restoration," in Proc. Eur. Conf. Comput. Vis., 2004, no.4, pp. 1-13.
-
(2004)
Proc. Eur. Conf. Comput. Vis.
, Issue.4
, pp. 1-13
-
-
Bect, J.1
Blanc-Fleraud, L.2
Aubert, G.3
Chambolle, A.4
-
5
-
-
85014561619
-
A fast iterative shrinkage-thresholding algorithm for linear inverse problems
-
A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci., vol.2, no.1, pp. 183-202, 2009.
-
(2009)
SIAM J. Imag. Sci.
, vol.2
, Issue.1
, pp. 183-202
-
-
Beck, A.1
Teboulle, M.2
-
6
-
-
36749005582
-
A new TwIST: Two-step iterative thresholding algorithm for image restoration
-
Dec.
-
J. Bioucas-Dias and M. Figueiredo, "A new TwIST: Two-step iterative thresholding algorithm for image restoration," IEEE Trans. Imag. Process., vol.16, no.12, pp. 2992-3004, Dec. 2007.
-
(2007)
IEEE Trans. Imag. Process
, vol.16
, Issue.12
, pp. 2992-3004
-
-
Bioucas-Dias, J.1
Figueiredo, M.2
-
7
-
-
69949177588
-
An iterative algorithm for linear inverse problems with compound regularizers
-
San Diego, CA
-
J. M. Bioucas-Dias and M. Figueiredo, "An iterative algorithm for linear inverse problems with compound regularizers," in Proc. IEEE Int. Conf. Image Process., San Diego, CA, 2008, pp. 685-688.
-
(2008)
Proc. IEEE Int. Conf. Image Process
, pp. 685-688
-
-
Bioucas-Dias, J.M.1
Figueiredo, M.2
-
8
-
-
69049120308
-
Near-ideal model selection by L1 minimization
-
E. Candés and Y. Plan, "Near-ideal model selection by L1 minimization," Ann. Statist., vol. 37, no. 5A, pp. 2145-2177.
-
Ann. Statist.
, vol.37
, Issue.5 A
, pp. 2145-2177
-
-
Candés, E.1
Plan, Y.2
-
10
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate information
-
E. Candés, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate information," Commun. Pure Appl. Math., vol.59, pp. 1207-1233, 2005.
-
(2005)
Commun. Pure Appl. Math.
, vol.59
, pp. 1207-1233
-
-
Candés, E.1
Romberg, J.2
Tao, T.3
-
11
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
E. Candés, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Info. Theory, vol.52, no.2, pp. 489-509, 2006.
-
(2006)
IEEE Trans. Info. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candés, E.1
Romberg, J.2
Tao, T.3
-
12
-
-
34249687049
-
Sparsity and incoherence in compressive sampling
-
E. Candés and J. Romberg, "Sparsity and incoherence in compressive sampling," Inverse Problems, vol.23, pp. 969-985, 2006.
-
(2006)
Inverse Problems
, vol.23
, pp. 969-985
-
-
Candés, E.1
Romberg, J.2
-
13
-
-
29144439194
-
Decoding by linear programming
-
Dec.
-
E. Candés and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol.51, no.12, pp. 4203-4215, Dec. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candés, E.1
Tao, T.2
-
14
-
-
33947416035
-
Near optimal signal recovery from random projections: Universal encoding strategies
-
Dec.
-
E. Candés and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies," IEEE Trans. Inf. Theory, vol.52, no.12, pp. 5406-5425, Dec. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candés, E.1
Tao, T.2
-
15
-
-
1242352408
-
An algorithm for total variation minimization and applications
-
A. Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imag. Vis., vol.20, pp. 89-97, 2004.
-
(2004)
J. Math. Imag. Vis.
, vol.20
, pp. 89-97
-
-
Chambolle, A.1
-
16
-
-
70449490591
-
Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data
-
R. Chartrand, "Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data," in Proc. IEEE Int. Symp. Biomed. Imag. (ISBI), 2009.
-
(2009)
Proc. IEEE Int. Symp. Biomed. Imag. (ISBI)
-
-
Chartrand, R.1
-
17
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Comput., vol.20, pp. 33-61, 1998.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
18
-
-
62649171652
-
A proximal decomposition method for solving convex variational inverse problems
-
P. L. Combettes and J.-C. Pesquet, "A proximal decomposition method for solving convex variational inverse problems," Inverse Problems, vol.24, no.6, 2008, Article ID 065014.
-
(2008)
Inverse Problems
, vol.24
, Issue.6
-
-
Combettes, P.L.1
Pesquet, J.-C.2
-
19
-
-
34548674463
-
A note on wavelet-based inversion algorithms
-
C. De Mol and M. Defrise, "A note on wavelet-based inversion algorithms," Contemp. Math., vol.313, pp. 85-96, 2002.
-
(2002)
Contemp. Math.
, vol.313
, pp. 85-96
-
-
De Mol, C.1
Defrise, M.2
-
20
-
-
33645712892
-
Compressed sensing
-
Apr.
-
D. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol.52, no.4, pp. 1289-1306, Apr. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.1
-
21
-
-
33744552752
-
For most large underdetermined systems of linear equations, the minimal l1-norm solution is also the sparsest solution
-
D. Donoho, "For most large underdetermined systems of linear equations, the minimal l1-norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol.59, no.7, pp. 907-934, 2006.
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.1
-
22
-
-
84967782959
-
On the numerical solution of heat conduction problems in two and three space variables
-
J. Douglas and H. Rachford, "On the numerical solution of heat conduction problems in two and three space variables," Trans. Amer. Math. Soc., vol.82, pp. 421-439, 1956.
-
(1956)
Trans. Amer. Math. Soc.
, vol.82
, pp. 421-439
-
-
Douglas, J.1
Rachford, H.2
-
23
-
-
0027113845
-
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
-
North-Holland
-
J. Eckstein and D. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators," Mathematical Programming, vol.55, 1992, North-Holland.
-
(1992)
Mathematical Programming
, vol.55
-
-
Eckstein, J.1
Bertsekas, D.2
-
24
-
-
79551532991
-
Applications of Lagrangian-based alternating direction methods and connections to split Bregman
-
E. Esser, "Applications of Lagrangian-based alternating direction methods and connections to split Bregman," UCLA, Los Angeles, CAM Rep. 09-31, 2009.
-
(2009)
UCLA, Los Angeles, CAM Rep.
, pp. 09-31
-
-
Esser, E.1
-
25
-
-
72349095820
-
Fast frame-based image deconvolution using variable splitting and constrained optimization
-
Cardiff, U.K.
-
M. Figueiredo, J. Bioucas-Dias, and M. V. Afonso, "Fast frame-based image deconvolution using variable splitting and constrained optimization," in Proc. IEEE Workshop Statistical Signal Process.-SSP2009, Cardiff, U.K., 2009.
-
(2009)
Proc. IEEE Workshop Statistical Signal Process.-SSP2009
-
-
Figueiredo, M.1
Bioucas-Dias, J.2
Afonso, M.V.3
-
26
-
-
0142200827
-
An em algorithm for wavelet-based image restoration
-
Dec.
-
M. Figueiredo and R. Nowak, "An EM algorithm for wavelet-based image restoration," IEEE Trans. Image Process., vol.12, no.8, pp. 906-916, Dec. 2003.
-
(2003)
IEEE Trans. Image Process
, vol.12
, Issue.8
, pp. 906-916
-
-
Figueiredo, M.1
Nowak, R.2
-
27
-
-
0002211517
-
A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
-
D. Gabay and B. Mercier, "A dual algorithm for the solution of nonlinear variational problems via finite-element approximations," Comp. Math. Appl., vol.2, pp. 17-40, 1976.
-
(1976)
Comp. Math. Appl.
, vol.2
, pp. 17-40
-
-
Gabay, D.1
Mercier, B.2
-
28
-
-
0016536442
-
Sur lapproximation par elements finis dordre un, et la resolution par penalisation-dualite dune classe de problemes de Dirichlet nonlineaires
-
R. Glowinski and A. Marrocco, "Sur lapproximation par elements finis dordre un, et la resolution par penalisation-dualite dune classe de problemes de Dirichlet nonlineaires," Rev. Francaise dAut. Inf. Rech. Oper., vol.R-2, pp. 41-76, 1975.
-
(1975)
Rev. Francaise DAut. Inf. Rech. Oper.
, vol.R-2
, pp. 41-76
-
-
Glowinski, R.1
Marrocco, A.2
-
30
-
-
0003200255
-
Augmented Lagrangian and operatorsplitting methods in nonlinear mechanics
-
Philadelphia, PA: SIAM
-
R. Glowinski and P. Le Tallec, "Augmented Lagrangian and operatorsplitting methods in nonlinear mechanics," in SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1989.
-
(1989)
SIAM Studies in Applied Mathematics
-
-
Glowinski, R.1
Le Tallec, P.2
-
31
-
-
69949140539
-
The split Bregman method for l1 regularized problems
-
T. Goldstein and S. Osher, "The split Bregman method for l1 regularized problems," UCLA, Los Angeles, CAM Rep. 08-29, 2008.
-
(2008)
UCLA, Los Angeles, CAM Rep.
, pp. 08-29
-
-
Goldstein, T.1
Osher, S.2
-
32
-
-
38149131932
-
MR image reconstruction by using the iterative refinement method and nonlinear inverse scale space methods
-
L. He, T.-C. Chang, S. Osher, T. Fang, and P. Speier, "MR image reconstruction by using the iterative refinement method and nonlinear inverse scale space methods," UCLA, Los Angeles, CAM Rep. 06-35, 2006.
-
(2006)
UCLA, Los Angeles, CAM Rep.
, pp. 06-35
-
-
He, L.1
Chang, T.-C.2
Osher, S.3
Fang, T.4
Speier, P.5
-
33
-
-
0242462717
-
A new inexact alternating directions method for monotone variational inequalities
-
B. S. He, L. Z. Liao, D. Han, and H. Yang, "A new inexact alternating directions method for monotone variational inequalities," Math. Progam. Ser. A, vol.92, pp. 103-118, 2002.
-
(2002)
Math. Progam. Ser. A
, vol.92
, pp. 103-118
-
-
He, B.S.1
Liao, L.Z.2
Han, D.3
Yang, H.4
-
34
-
-
36849088522
-
Sparse MRI: The application of compressed sensing for rapid MR imaging
-
M. Lustig, D. Donoho, and J. Pauly, "Sparse MRI: The application of compressed sensing for rapidMRimaging," Magn. Resonance in Med., vol.58, no.6, pp. 1182-1195, 2007.
-
(2007)
Magn. Resonance in Med.
, vol.58
, Issue.6
, pp. 1182-1195
-
-
Lustig, M.1
Donoho, D.2
Pauly, J.3
-
35
-
-
51949114453
-
An efficient algorithm for compressed MR imaging using total variation and wavelets
-
S. Ma,W. Yin, Y. Zhang, and A. Chakraborty, "An efficient algorithm for compressed MR imaging using total variation and wavelets," in Proc.IEEE Conf. CVPR, 2008, pp. 1-8.
-
(2008)
Proc.IEEE Conf. CVPR
, pp. 1-8
-
-
Maw. Yin, S.1
Zhang, Y.2
Chakraborty, A.3
-
36
-
-
19844370110
-
An iterated regularization method for total variation-based image restoration
-
S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin, "An iterated regularization method for total variation-based image restoration," Multiscale Model. Simul., vol.4, pp. 460-489, 2005.
-
(2005)
Multiscale Model. Simul.
, vol.4
, pp. 460-489
-
-
Osher, S.1
Burger, M.2
Goldfarb, D.3
Xu, J.4
Yin, W.5
-
37
-
-
84892206732
-
-
[Online]. Available
-
Rice Wavelet Toolbox, [Online]. Available: http://www.dsp.rice.edu/ software/rwt.shtml
-
Rice Wavelet Toolbox
-
-
-
38
-
-
77949675954
-
Douglas-rachford splitting and frame shrinkage
-
Proc. 2nd Int. Conf. Scale Space Methods and Variational Methods in Comput. Vis. Split Bregman Algorithm
-
S. Setzer, "Douglas-rachford splitting and frame shrinkage," in Proc. 2nd Int. Conf. Scale Space Methods and Variational Methods in Comput. Vis., Lecture Notes in Computer Science, 2009, Split Bregman Algorithm.
-
(2009)
Lecture Notes in Computer Science
-
-
Setzer, S.1
-
39
-
-
64649083745
-
Signal recovery from random measurements via orthogonal matching pursuit
-
J. A. Tropp and A. C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Trans. Inf. Theory, vol.53, no.12, pp. 4655-4666, 2007.
-
(2007)
IEEE Trans. Inf. Theory
, vol.53
, Issue.12
, pp. 4655-4666
-
-
Tropp, J.A.1
Gilbert, A.C.2
-
40
-
-
58049208543
-
-
TR07-10 2007, CAAM, Rice Univ.
-
Y. Wang, W. Yin, and Y. Zhang, "A fast algorithm for image deblurring with total variation regularization," TR07-10 2007, CAAM, Rice Univ..
-
A Fast Algorithm for Image Deblurring with Total Variation Regularization
-
-
Wang, Y.1
Yin, W.2
Zhang, Y.3
-
41
-
-
85012251675
-
A new alternating minimization algorithm for total variation image reconstruction
-
Y. Wang, J.-F. Yang, W. Yin, and Y. Zhang, "A new alternating minimization algorithm for total variation image reconstruction," SIAM J. Imag. Sci., vol.1, no.3, pp. 248-272, 2008.
-
(2008)
SIAM J. Imag. Sci.
, vol.1
, Issue.3
, pp. 248-272
-
-
Wang, Y.1
Yang, J.-F.2
Yin, W.3
Zhang, Y.4
-
42
-
-
51449122370
-
Sparse reconstruction by separable approximation
-
S. J. Wright, R. D. Nowak, and M. Figueiredo, "Sparse reconstruction by separable approximation," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 2008, pp. 3373-3376.
-
(2008)
Proc. IEEE Int. Conf. Acoust., Speech, Signal Process
, pp. 3373-3376
-
-
Wright, S.J.1
Nowak, R.D.2
Figueiredo, M.3
-
43
-
-
85024122496
-
A fast algorithm for edgepreserving variational multichannel image restoration
-
J.-F.Yang, W. Yin, Y. Zhang, and Y.Wang, "A fast algorithm for edgepreserving variational multichannel image restoration," SIAM J. Imag. Sci., vol.2, no.2, pp. 569-592, 2009.
-
(2009)
SIAM J. Imag. Sci.
, vol.2
, Issue.2
, pp. 569-592
-
-
Yang, J.-F.1
Yin, W.2
Zhang, Y.3
Wang, Y.4
-
44
-
-
76149100480
-
An efficient TVL1 algorithm for deblurring of multichannel images corrupted by impulsive noise
-
J.-F.Yang, Y. Zhang, and W.Yin, "An efficient TVL1 algorithm for deblurring of multichannel images corrupted by impulsive noise," SIAM J. Sci. Comput., vol.31, no.4, pp. 2842-2865, 2009.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, Issue.4
, pp. 2842-2865
-
-
Yang, J.-F.1
Zhang, Y.2
Yin, W.3
-
45
-
-
77949675953
-
-
TR08-27 2008, CAAM, Rice Univ.
-
J.-F. Yang, Y. Zhang, and W. Yin, "A fast TVL1-L2 minimization algorithm for signal reconstruction from partial fourier data," TR08-27 2008, CAAM, Rice Univ..
-
A Fast TVL1-L2 Minimization Algorithm for Signal Reconstruction from Partial Fourier Data
-
-
Yang, J.-F.1
Zhang, Y.2
Yin, W.3
-
46
-
-
84977895355
-
Bregman iterative algorithms for L1-minimization with applications to compressed sensing
-
W. Yin, S. Osher, D. Goldfarb, and J. Darbon, "Bregman iterative algorithms for L1-minimization with applications to compressed sensing," SIAM J. Imag. Sci., vol.1, no.1, pp. 143-168, 2008.
-
(2008)
SIAM J. Imag. Sci.
, vol.1
, Issue.1
, pp. 143-168
-
-
Yin, W.1
Osher, S.2
Goldfarb, D.3
Darbon, J.4
|