-
2
-
-
0027842081
-
Matching pursuits with time-frequency dictionaries
-
S. Mallat Z. Zhang 1993 Matching pursuits with time-frequency dictionaries IEEE Trans Signal Process 41 3 3397 3415
-
(1993)
IEEE Trans Signal Process
, vol.41
, Issue.3
, pp. 3397-3415
-
-
Mallat, S.1
Zhang, Z.2
-
3
-
-
0028479246
-
Adaptive time-frequency decompositions
-
G. Davis S. Mallat Z. Zhang 1994 Adaptive time-frequency decompositions Opt Engin 33 7 2183 2191
-
(1994)
Opt Engin
, vol.33
, Issue.7
, pp. 2183-2191
-
-
Davis, G.1
Mallat, S.2
Zhang, Z.3
-
5
-
-
33947361050
-
Why simple shrinkage is still relevant for redundant representations?
-
M. Elad 2006 Why simple shrinkage is still relevant for redundant representations? IEEE Trans Inf Theory 5212 5559 5569
-
(2006)
IEEE Trans Inf Theory
, vol.5212
, pp. 5559-5569
-
-
Elad, M.1
-
7
-
-
0034215549
-
A new approach to variable selection in least squares problems
-
M. R. Osborne B. Presnell B. A. Turlach 2000 A new approach to variable selection in least squares problems IMA J Num Anal 20 3 389 403
-
(2000)
IMA J Num Anal
, vol.20
, Issue.3
, pp. 389-403
-
-
Osborne, M.R.1
Presnell, B.2
Turlach, B.A.3
-
9
-
-
0043265073
-
Wavelets and curvelets for image deconvolution: A combined approach
-
J. L. Starck M. K. Nguyen F. Murtagh 2003 Wavelets and curvelets for image deconvolution: A combined approach Signal Process 83 2279 2283
-
(2003)
Signal Process
, vol.83
, pp. 2279-2283
-
-
Starck, J.L.1
Nguyen, M.K.2
Murtagh, F.3
-
10
-
-
0142200827
-
An em algorithm for waveletbased image restoration
-
M. A. T. Figueiredo R. D. Nowak 2003 An EM algorithm for waveletbased image restoration IEEE Trans Image Process 12 8 906 916
-
(2003)
IEEE Trans Image Process
, vol.12
, Issue.8
, pp. 906-916
-
-
Figueiredo, M.A.T.1
Nowak, R.D.2
-
11
-
-
31144474340
-
Sparse overcomplete Gabor wavelet representation based on local competitions
-
S. Fischer G. Crist'obal R. Redondo 2006 Sparse overcomplete Gabor wavelet representation based on local competitions IEEE Trans Signal Process 15 2 265 272
-
(2006)
IEEE Trans Signal Process
, vol.15
, Issue.2
, pp. 265-272
-
-
Fischer, S.1
Crist'Obal, G.2
Redondo, R.3
-
12
-
-
34247220373
-
Video coding using 3-D dual-tree wavelet transform
-
Article ID. 42761, 15 pages, doi: 10.1155/2007/42761
-
Wang B, Wang Y, Selesnick I, et al. Video coding using 3-D dual-tree wavelet transform. EURASIP J Image Video Process, Special issue on "Wavelets in Source Coding, Communications, and Networks", Volume 2007 (2007), Article ID. 42761, 15 pages, doi: 10.1155/2007/42761
-
(2007)
EURASIP J Image Video Process, Special Issue on "wavelets in Source Coding, Communications, and Networks"
, vol.2007
-
-
Wang, B.1
Wang, Y.2
Selesnick, I.3
-
15
-
-
85009724776
-
Nonlinear Approximation
-
Cambridge Univ. Press Cambridge
-
DeVore R A. Nonlinear Approximation, Acta Numerica. Cambridge: Cambridge Univ. Press, 1998. 51-150
-
(1998)
Acta Numerica
, pp. 51-150
-
-
Devore, R.A.1
-
16
-
-
0027814133
-
Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition
-
Pacific Grove, CA, USA
-
Pati Y C, Rezaiifar R, Krishnaprasad P S. Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. In: Proc. 27th Annu. Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, 1993. 40-44
-
(1993)
Proc. 27th Annu. Asilomar Conference on Signals, Systems and Computers
, pp. 40-44
-
-
Pati, Y.C.1
Rezaiifar, R.2
Krishnaprasad, P.S.3
-
17
-
-
0034848164
-
Application of tree-based searches to matching pursuit
-
Salt Lake City, UT, USA
-
Cotter S, Rao B. Application of tree-based searches to matching pursuit. In: Proc. International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, USA, 2001. 3933-3936
-
(2001)
Proc. International Conference on Acoustics, Speech, and Signal Processing
, pp. 3933-3936
-
-
Cotter, S.1
Rao, B.2
-
19
-
-
0031102203
-
Sparse signal reconstructions from limited data using FOCUSS: A re-weighted minimum norm algorithm
-
I. F. Gorodnitsky B. D. Rao 1997 Sparse signal reconstructions from limited data using FOCUSS: A re-weighted minimum norm algorithm IEEE Trans Signal Process 45 3 600 616
-
(1997)
IEEE Trans Signal Process
, vol.45
, Issue.3
, pp. 600-616
-
-
Gorodnitsky, I.F.1
Rao, B.D.2
-
20
-
-
0032712352
-
An affine scaling methodology for best basis selection
-
B. D. Rao K. Kreutz-Delgado 1999 An affine scaling methodology for best basis selection IEEE Trans Signal Process 47 1 187 200
-
(1999)
IEEE Trans Signal Process
, vol.47
, Issue.1
, pp. 187-200
-
-
Rao, B.D.1
Kreutz-Delgado, K.2
-
24
-
-
60649102899
-
Inpainting and zooming using sparse representations
-
doi:10.1093/comjnl/bxm055
-
Fadili M J, Starck J L, Murtagh F. Inpainting and zooming using sparse representations. Computer J, 2007, doi:10.1093/comjnl/bxm055
-
(2007)
Computer J
-
-
Fadili, M.J.1
Starck, J.L.2
Murtagh, F.3
-
25
-
-
0036761902
-
The problem of sparse coding
-
A. E. C. Pece 2002 The problem of sparse coding J Math Imag Vision 17 89 108
-
(2002)
J Math Imag Vision
, vol.17
, pp. 89-108
-
-
Pece, A.E.C.1
-
26
-
-
33749834263
-
Signal overcomplete representation and sparse decomposition based on redundant dictionaries
-
C. Zhang Z. Yin X. Chen 2005 Signal overcomplete representation and sparse decomposition based on redundant dictionaries Chin Sci Bull 50 23 2672 2677
-
(2005)
Chin Sci Bull
, vol.50
, Issue.23
, pp. 2672-2677
-
-
Zhang, C.1
Yin, Z.2
Chen, X.3
-
27
-
-
0035504028
-
Uncertainty principles and ideal atomic decompositions
-
D. Donoho X. Huo 2001 Uncertainty principles and ideal atomic decompositions IEEE Trans Information Theory 47 7 2845 2862
-
(2001)
IEEE Trans Information Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.1
Huo, X.2
-
28
-
-
34547970687
-
-
Technical Report, Department of Statistics, Stanford University
-
Donoho D, Tsaig Y, Drori I, et al. Sparse solution of underdetermined linear equations of stagewise orthogonal matching pursuit. Technical Report, Department of Statistics, Stanford University, 2006
-
(2006)
Sparse Solution of Underdetermined Linear Equations of Stagewise Orthogonal Matching Pursuit
-
-
Donoho, D.1
Tsaig, Y.2
Drori, I.3
-
31
-
-
0035339685
-
Fast matching pursuit with a multiscale dictionary of Gaussian chirps
-
R. Gribonval 2001 Fast matching pursuit with a multiscale dictionary of Gaussian chirps IEEE Trans Signal Process 49 5 994 1001
-
(2001)
IEEE Trans Signal Process
, vol.49
, Issue.5
, pp. 994-1001
-
-
Gribonval, R.1
-
32
-
-
33646365077
-
For most large underdetermined systems of linear equations, the minimal ell-1 norm solution is also the sparsest solution
-
D. L. Donoho 2006 For most large underdetermined systems of linear equations, the minimal ell-1 norm solution is also the sparsest solution Commun Pure Appl Math 59 7 797 829
-
(2006)
Commun Pure Appl Math
, vol.59
, Issue.7
, pp. 797-829
-
-
Donoho, D.L.1
-
33
-
-
34548724437
-
Exact reconstruction of sparse signals via nonconvex minimization
-
R. Chartrand 2007 Exact reconstruction of sparse signals via nonconvex minimization IEEE Signal Process Lett 14 1 707 710
-
(2007)
IEEE Signal Process Lett
, vol.14
, Issue.1
, pp. 707-710
-
-
Chartrand, R.1
-
34
-
-
0029307534
-
De-noising by soft-thresholding
-
D. Donoho 1995 De-noising by soft-thresholding IEEE Trans Inf Theory 41 3 613 627
-
(1995)
IEEE Trans Inf Theory
, vol.41
, Issue.3
, pp. 613-627
-
-
Donoho, D.1
-
35
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
I. Daubechies M. Defrise C. De Mol 2004 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint Commun Pure Appl Math 57 11 1413 1457
-
(2004)
Commun Pure Appl Math
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
36
-
-
78649765600
-
Iteratively solving linear inverse problems under general convex constraints
-
I. Daubechies G. Teschke L. Vese 2007 Iteratively solving linear inverse problems under general convex constraints Inverse Problem Imag 1 1 29 46
-
(2007)
Inverse Problem Imag
, vol.1
, Issue.1
, pp. 29-46
-
-
Daubechies, I.1
Teschke, G.2
Vese, L.3
-
37
-
-
64249107952
-
Way to sparse representation: A comparative study
-
in press
-
Yang J Y, Peng Y G, Xu W L, et al.Way to sparse representation: a comparative study. Tsinghua Sci Tech, 2009 14(4): in press
-
(2009)
Tsinghua Sci Tech.
, vol.14
, Issue.4
-
-
Yang, J.Y.1
Peng, Y.G.2
Xu, W.L.3
-
40
-
-
0029938380
-
Emergence of simple-cell receptive field properties by learning a sparse code for natural images
-
B. A. Olshausen D. J. Field 1996 Emergence of simple-cell receptive field properties by learning a sparse code for natural images Nature 381 607 609
-
(1996)
Nature
, vol.381
, pp. 607-609
-
-
Olshausen, B.A.1
Field, D.J.2
-
41
-
-
0003306887
-
Curvelets-a surprisingly effective nonadaptive representation for objects with edges
-
Vanderbilt University Press, TN Nashville
-
Candes E J, Donoho D. Curvelets-a surprisingly effective nonadaptive representation for objects with edges. In: Laurent P J, Le Mehaute A, Schumaker L L, eds. Curves and Surfaces. Nashville: Vanderbilt University Press, TN, 2000. 105-120
-
(2000)
Curves and Surfaces
, pp. 105-120
-
-
Candes, E.J.1
Donoho, D.2
Laurent, P.J.3
Le Mehaute, A.4
Schumaker, L.L.5
-
42
-
-
17544369568
-
Sparse geometric image representations with bandelets
-
E. L. Pennec S. Mallat 2005 Sparse geometric image representations with bandelets IEEE Trans Image Process 14 423 438
-
(2005)
IEEE Trans Image Process
, vol.14
, pp. 423-438
-
-
Pennec, E.L.1
Mallat, S.2
-
43
-
-
28944432472
-
The contourlet transform: An efficient directional multiresolution image representation
-
M. N. Do M. Vetterli 2005 The contourlet transform: an efficient directional multiresolution image representation IEEE Trans Image Process 14 12 2091 2106
-
(2005)
IEEE Trans Image Process
, vol.14
, Issue.12
, pp. 2091-2106
-
-
Do, M.N.1
Vetterli, M.2
-
44
-
-
0347968052
-
Sparse decompositions in unions of bases
-
R. Gribonval R. Nielsen 2003 Sparse decompositions in unions of bases IEEE Trans Inf Theory 49 3320 3325
-
(2003)
IEEE Trans Inf Theory
, vol.49
, pp. 3320-3325
-
-
Gribonval, R.1
Nielsen, R.2
-
45
-
-
5444237123
-
Greed is good: Algorithmic results for sparse approximation
-
J. Tropp 2004 Greed is good: Algorithmic results for sparse approximation IEEE Trans Inf Theory 50 10 2231 2242
-
(2004)
IEEE Trans Inf Theory
, vol.50
, Issue.10
, pp. 2231-2242
-
-
Tropp, J.1
-
47
-
-
0036714214
-
A generalized uncertainty principle and sparse representation in pairs of bases
-
M. Elad A. M. Bruckstein 2002 A generalized uncertainty principle and sparse representation in pairs of bases IEEE Trans Inf Theory 48 2558 2567
-
(2002)
IEEE Trans Inf Theory
, vol.48
, pp. 2558-2567
-
-
Elad, M.1
Bruckstein, A.M.2
-
50
-
-
33144483155
-
Stable recovery of sparse overcomplete representations in the presence of noise
-
D. Donoho M. Elad V. Temlyakov 2006 Stable recovery of sparse overcomplete representations in the presence of noise IEEE Trans Inf Theory 52 6 18
-
(2006)
IEEE Trans Inf Theory
, vol.52
, pp. 6-18
-
-
Donoho, D.1
Elad, M.2
Temlyakov, V.3
-
51
-
-
42149166280
-
Sparse representation-based image deconvolution by iterative thresholding
-
Marseille France
-
Fadili M J, Starck J L. Sparse representation-based image deconvolution by iterative thresholding. Astronomical Data Analysis, France: Marseille, 2006
-
(2006)
Astronomical Data Analysis
-
-
Fadili, M.J.1
Starck, J.L.2
|