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Volumn 9780521119139, Issue , 2010, Pages 1-328

Sparse image and signal processing: Wavelets, curvelets, morphological diversity

Author keywords

[No Author keywords available]

Indexed keywords

BLIND SOURCE SEPARATION; DIGITAL FORENSICS; DIGITAL STORAGE; IMAGE PROCESSING; INVERSE PROBLEMS; MATHEMATICAL MORPHOLOGY; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS;

EID: 84925217174     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511730344     Document Type: Book
Times cited : (579)

References (462)
  • 2
    • 33746242092 scopus 로고    scopus 로고
    • Adapting to unknown sparsity by controlling the false discovery rate
    • Abramovich, F., Benjamini, Y., Donoho, D., and Johnstone, I.: 2006, Adapting to unknown sparsity by controlling the false discovery rate, Annals of Statistics 34(2), 584-653.
    • (2006) Annals of Statistics , vol.34 , Issue.2 , pp. 584-653
    • Abramovich, F.1    Benjamini, Y.2    Donoho, D.3    Johnstone, I.4
  • 5
    • 0035413315 scopus 로고    scopus 로고
    • Novel bayesian multiscale method for speckle removal in medical ultrasound images
    • Achim, A., Bezerianos, A., and Tsakalides, P.: 2001, Novel Bayesian multiscale method for speckle removal in medical ultrasound images, IEEE Transactions on Medical Imaging 20(8), 772-783.
    • (2001) IEEE Transactions on Medical Imaging , vol.20 , Issue.8 , pp. 772-783
    • Achim, A.1    Bezerianos, A.2    Tsakalides, P.3
  • 10
    • 33750383209 scopus 로고    scopus 로고
    • K-svd: An algorithm for designing overcomplete dictionaries for sparse representation
    • Aharon, M., Elad, M., and Bruckstein, A.: 2006, K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation, IEEE Transactions on Signal Processing 54(11), 4311-4322.
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.11 , pp. 4311-4322
    • Aharon, M.1    Elad, M.2    Bruckstein, A.3
  • 12
    • 0033115975 scopus 로고    scopus 로고
    • Superefficiency in blind source separation
    • Amari, S.-I.: 1999, Superefficiency in blind source separation, IEEE Transactions on Signal Processing 47(4), 936-944.
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.4 , pp. 936-944
    • Amari, S.-I.1
  • 13
    • 0031271273 scopus 로고    scopus 로고
    • Blind source separation - semiparametric statistical approach
    • Amari, S., and Cardoso, J.-F.: 1997, Blind source separation - semiparametric statistical approach, IEEE Transactions on Signal Processing 45(11), 2692-2700.
    • (1997) IEEE Transactions on Signal Processing , vol.45 , Issue.11 , pp. 2692-2700
    • Amari, S.1    Cardoso, J.-F.2
  • 14
    • 0001243836 scopus 로고
    • The transformation of poisson, binomial and negative-binomial data
    • Anscombe, F.: 1948, The transformation of Poisson, binomial and negative-binomial data, Biometrika 15, 246-254.
    • (1948) Biometrika , vol.15 , pp. 246-254
    • Anscombe, F.1
  • 15
    • 2142695042 scopus 로고    scopus 로고
    • The 2-d wavelet transform, physical applications and generalizations
    • J. van den Berg, Cambridge University Press, New York
    • Antoine, J.-P.: 1999, The 2-D wavelet transform, physical applications and generalizations, in J. van den Berg (ed.), Wavelets in Physics, 23-76, Cambridge University Press, New York.
    • (1999) Wavelets in Physics , pp. 23-76
    • Antoine, J.-P.1
  • 16
    • 3142724998 scopus 로고
    • Two dimensional wavelet analysis in image processing
    • Antoine, J., and Murenzi, R.: 1994, Two dimensional wavelet analysis in image processing, Physicalia Magazine 16, 105-134.
    • (1994) Physicalia Magazine , vol.16 , pp. 105-134
    • Antoine, J.1    Murenzi, R.2
  • 19
    • 0012780893 scopus 로고    scopus 로고
    • Wavelet estimators in nonparametric regression: A comparative simulation study
    • Antoniadis, A., Bigot, J., and Sapatinas, T.: 2001, Wavelet estimators in nonparametric regression: A comparative simulation study, Journal of Statistical Software 6(6), 1-83.
    • (2001) Journal of Statistical Software , vol.6 , Issue.6 , pp. 1-83
    • Antoniadis, A.1    Bigot, J.2    Sapatinas, T.3
  • 21
    • 0742299902 scopus 로고
    • A morphological filter for removing cirrus-like emission from far-infrared extragalactic iras fields
    • Appleton, P. N., Siqueira, P. R., and Basart, J. P.: 1993, A morphological filter for removing cirrus-like emission from far-infrared extragalactic IRAS fields, Astronomical Journal 106, 1664-1678.
    • (1993) Astronomical Journal , vol.106 , pp. 1664-1678
    • Appleton, P.N.1    Siqueira, P.R.2    Basart, J.P.3
  • 22
    • 55149088329 scopus 로고    scopus 로고
    • Convex multi-task feature learning
    • Argyriou, A., Evgeniou, T., and Pontil, M.: 2008, Convex multi-task feature learning, Machine Learning 73(3), 243-272.
    • (2008) Machine Learning , vol.73 , Issue.3 , pp. 243-272
    • Argyriou, A.1    Evgeniou, T.2    Pontil, M.3
  • 26
    • 0011235023 scopus 로고    scopus 로고
    • A variational method in image recovery
    • Aubert, G., and Vese, L.: 1997, A variational method in image recovery, SIAM Journal on Numerical Analysis 34(5), 1948-1979.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.5 , pp. 1948-1979
    • Aubert, G.1    Vese, L.2
  • 29
    • 33644533840 scopus 로고    scopus 로고
    • Structure and texture compression - modeling, algorithms, and parameter selection
    • Aujol, J., Gilboa, G., Chan, T., and Osher, S.: 2006, Structure and texture compression - modeling, algorithms, and parameter selection, International Journal of Computer Vision 67(1), 111-136.
    • (2006) International Journal of Computer Vision , vol.67 , Issue.1 , pp. 111-136
    • Aujol, J.1    Gilboa, G.2    Chan, T.3    Osher, S.4
  • 31
    • 46249088758 scopus 로고    scopus 로고
    • Consistency of the group lasso and multiple kernel learning
    • Bach, F. R.: 2008, Consistency of the group lasso and multiple kernel learning, Journal of Machine Learning Research 9, 1179-1225.
    • (2008) Journal of Machine Learning Research , vol.9 , pp. 1179-1225
    • Bach, F.R.1
  • 32
    • 38149114705 scopus 로고    scopus 로고
    • Estimator for number of sources using minimum description length criterion for blind sparse source mixtures
    • M. E. Davies, C. J. James, S. A. Abdallah, and M. D. Plumbley, Springer, New York
    • Balan, R.: 2007, Estimator for number of sources using minimum description length criterion for blind sparse source mixtures, in M. E. Davies, C. J. James, S. A. Abdallah, and M. D. Plumbley (eds.), Independent Component Analysis and Signal Separation, vol. 4666, Lecture Notes in Computer Science, 333-340, Springer, New York.
    • (2007) Independent Component Analysis and Signal Separation Lecture Notes in Computer Science , vol.4666 , pp. 333-340
    • Balan, R.1
  • 34
    • 85014561619 scopus 로고    scopus 로고
    • Fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • Beck, A., and Teboulle, M.: 2009, Fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM Journal on Imaging Sciences 2, 183-202.
    • (2009) SIAM Journal on Imaging Sciences , vol.2 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 36
    • 0029411030 scopus 로고
    • An information maximisation approach to blind separation and blind deconvolution
    • Bell, A., and Sejnowski, T.: 1995, An information maximisation approach to blind separation and blind deconvolution, Neural Computation 7(6), 1129-1159.
    • (1995) Neural Computation , vol.7 , Issue.6 , pp. 1129-1159
    • Bell, A.1    Sejnowski, T.2
  • 38
    • 0001677717 scopus 로고
    • Controlling the false discovery rate - a practical and powerful approach to multiple testing
    • Benjamini, Y., and Hochberg, Y.: 1995, Controlling the false discovery rate - a practical and powerful approach to multiple testing, Journal of the Royal Statistical Society B 57, 289-300.
    • (1995) Journal of the Royal Statistical Society B , vol.57 , pp. 289-300
    • Benjamini, Y.1    Hochberg, Y.2
  • 39
    • 0035733108 scopus 로고    scopus 로고
    • The control of the false discovery rate in multiple testing under dependency
    • Benjamini, Y., and Yekutieli, Y.: 2001, The control of the false discovery rate in multiple testing under dependency, Annals of Statistics 29(4), 1165-1188.
    • (2001) Annals of Statistics , vol.29 , Issue.4 , pp. 1165-1188
    • Benjamini, Y.1    Yekutieli, Y.2
  • 43
    • 60649111552 scopus 로고    scopus 로고
    • The state of the art of image and surface inpainting
    • O. F. N. Paragios and Y. Chen (edd.), Springer, New York
    • Bertalmío, M., Caselles, V., Haro, G., and Sapiro, G.: 2005, The state of the art of image and surface inpainting, in O. F. N. Paragios and Y. Chen (edd.), Mathematical Models in Computer Vision: The Handbook, 309-322, Springer, New York.
    • (2005) Mathematical Models in Computer Vision: The Handbook , pp. 309-322
    • Bertalmío, M.1    Caselles, V.2    Haro, G.3    Sapiro, G.4
  • 44
    • 68649086910 scopus 로고    scopus 로고
    • Simultaneous analysis of lasso and dantzig selector
    • Bickel, P. J., Ritov, Y., and Tsybakov, A.: 2009, Simultaneous analysis of lasso and Dantzig selector, Annals of Statistics 37, 1705-1732.
    • (2009) Annals of Statistics , vol.37 , pp. 1705-1732
    • Bickel, P.J.1    Ritov, Y.2    Tsybakov, A.3
  • 45
    • 34249953023 scopus 로고
    • Optimal image addition using the wavelet transform
    • Bijaoui, A., and Giudicelli, M.: 1991, Optimal image addition using the wavelet transform, Experimental Astronomy 1, 347-363.
    • (1991) Experimental Astronomy , vol.1 , pp. 347-363
    • Bijaoui, A.1    Giudicelli, M.2
  • 46
    • 0035452167 scopus 로고    scopus 로고
    • On the distribution of the wavelet coefficient for a poisson noise
    • Bijaoui, A., and Jammal, G.: 2001, On the distribution of the wavelet coefficient for a Poisson noise, Signal Processing 81, 1789-1800.
    • (2001) Signal Processing , vol.81 , pp. 1789-1800
    • Bijaoui, A.1    Jammal, G.2
  • 47
    • 33645136947 scopus 로고    scopus 로고
    • Bayesian wavelet-based image deconvolution: A gem algorithm exploiting a class of heavy-tailed priors
    • Bioucas-Dias, J.: 2006, Bayesian wavelet-based image deconvolution: A GEM algorithm exploiting a class of heavy-tailed priors, IEEE Transactions on Image Processing 15(4), 937-951.
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.4 , pp. 937-951
    • Bioucas-Dias, J.1
  • 48
    • 36749005582 scopus 로고    scopus 로고
    • A new twist: Two-step iterative shrinkage/thresholding algorithms for image restoration
    • Bioucas-Dias, J. M., and Figueiredo, M.: 2007, A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration, IEEE Transactions on Image Processing 16(12), 2992-3004.
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.12 , pp. 2992-3004
    • Bioucas-Dias, J.M.1    Figueiredo, M.2
  • 49
    • 0005019323 scopus 로고    scopus 로고
    • Edge preserving restoration of astrophysical images
    • Blanc-Féraud, L., and Barlaud, M.: 1996, Edge preserving restoration of astrophysical images, Vistas in Astronomy 40, 531-538.
    • (1996) Vistas in Astronomy , vol.40 , pp. 531-538
    • Blanc-Féraud, L.1    Barlaud, M.2
  • 50
    • 85032412856 scopus 로고    scopus 로고
    • The restricted isometry property and eq- regularization: Phase transitions for sparse approximation
    • q- regularization: Phase transitions for sparse approximation, Preprint.
    • (2009) Preprint
    • Blanchard, J.1    Cartis, C.2    Tanner, J.3
  • 56
    • 44649170241 scopus 로고    scopus 로고
    • Sz and cmb reconstruction using generalized morphological component analysis
    • Bobin, J., Moudden, Y., Starck, J. L., Fadili, M., and Aghanim, N.: 2008a, SZ and CMB reconstruction using generalized morphological component analysis, Statistical Methodology 5(4), 307-317.
    • (2008) Statistical Methodology , vol.5 , Issue.4 , pp. 307-317
    • Bobin, J.1    Moudden, Y.2    Starck, J.L.3    Fadili, M.4    Aghanim, N.5
  • 60
    • 41449101407 scopus 로고    scopus 로고
    • A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
    • Bonesky, T., Bredies, K., Lorenz, D., and Maass, P.: 2007, A generalized conditional gradient method for nonlinear operator equations with sparsity constraints, Inverse Problems 23, 2041-2058.
    • (2007) Inverse Problems , vol.23 , pp. 2041-2058
    • Bonesky, T.1    Bredies, K.2    Lorenz, D.3    Maass, P.4
  • 62
    • 78049417187 scopus 로고    scopus 로고
    • Minimization of non-smooth, non-convex functionals by iterative thresholding
    • Bredies, K., and Lorenz, D.: 2009, Minimization of non-smooth, non-convex functionals by iterative thresholding, Preprint.
    • (2009) Preprint
    • Bredies, K.1    Lorenz, D.2
  • 63
    • 0042527951 scopus 로고    scopus 로고
    • Mathematical morphology: A useful set of tools for image analysis
    • Breen, E., Jones, R., and Talbot, H.: 2000, Mathematical morphology: A useful set of tools for image analysis, Statistics and Computing 10, 105-120.
    • (2000) Statistics and Computing , vol.10 , pp. 105-120
    • Breen, E.1    Jones, R.2    Talbot, H.3
  • 67
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • Bruckstein, A., Donoho, D., and Elad, M.: 2009, From sparse solutions of systems of equations to sparse modeling of signals and images, SIAM Review 51(1), 34-81.
    • (2009) SIAM Review , vol.51 , Issue.1 , pp. 34-81
    • Bruckstein, A.1    Donoho, D.2    Elad, M.3
  • 68
    • 0002649812 scopus 로고
    • Wavelab and reproducible research
    • A. Antoniadis, Springer, New York
    • Buckheit, J., and Donoho, D.: 1995, Wavelab and reproducible research, in A. Antoniadis (ed.), Wavelets and Statistics, 53-81, Springer, New York.
    • (1995) Wavelets and Statistics , pp. 53-81
    • Buckheit, J.1    Donoho, D.2
  • 70
    • 0033248624 scopus 로고    scopus 로고
    • Adaptive wavelet estimation: A block thresholding and oracle inequality approach
    • Cai, T.: 1999, Adaptive wavelet estimation: A block thresholding and oracle inequality approach, Annals of Statistics 27, 898-924.
    • (1999) Annals of Statistics , vol.27 , pp. 898-924
    • Cai, T.1
  • 71
    • 0036822482 scopus 로고    scopus 로고
    • On block thresholding in wavelet regression: Adaptivity, block size, and threshold level
    • Cai, T.: 2002, On block thresholding in wavelet regression: Adaptivity, block size, and threshold level, Statistica Sinica 12(4), 1241-1273.
    • (2002) Statistica Sinica , vol.12 , Issue.4 , pp. 1241-1273
    • Cai, T.1
  • 72
    • 67349244805 scopus 로고    scopus 로고
    • Linearized bregman iterations for compressed sensing
    • Cai, J., Osher, S., and Shen, Z.: 2009, Linearized Bregman iterations for compressed sensing, Mathematics of Computation 78, 2127-2136.
    • (2009) Mathematics of Computation , vol.78 , pp. 2127-2136
    • Cai, J.1    Osher, S.2    Shen, Z.3
  • 75
    • 0036045780 scopus 로고    scopus 로고
    • Ridgelets and the representation of mutilated sobolev functions
    • Candès, E. J.: 2001, Ridgelets and the representation of mutilated Sobolev functions, SIAM Journal on Mathematical Analysis 33, 347-368.
    • (2001) SIAM Journal on Mathematical Analysis , vol.33 , pp. 347-368
    • Candès, E.J.1
  • 77
    • 27744468800 scopus 로고    scopus 로고
    • The curvelet representation of wave propagators is optimally sparse
    • Candès, E. J., and Demanet, L.: 2005, The curvelet representation of wave propagators is optimally sparse, Communications on Pure and Applied Mathematics 58(11), 1472-1528.
    • (2005) Communications on Pure and Applied Mathematics , vol.58 , Issue.11 , pp. 1472-1528
    • Candès, E.J.1    Demanet, L.2
  • 80
    • 0036045688 scopus 로고    scopus 로고
    • Recovering edges in ill-posed inverse problems: Optimality of curvelet frames
    • Candès, E., and Donoho, D.: 2002, Recovering edges in ill-posed inverse problems: Optimality of curvelet frames, Annals of Statistics 30, 784-842.
    • (2002) Annals of Statistics , vol.30 , pp. 784-842
    • Candès, E.1    Donoho, D.2
  • 82
    • 0036836408 scopus 로고    scopus 로고
    • New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction
    • Candès, E., and Guo, F.: 2002, New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction, Signal Processing 82(11), 1519-1543.
    • (2002) Signal Processing , vol.82 , Issue.11 , pp. 1519-1543
    • Candès, E.1    Guo, F.2
  • 83
    • 69049120308 scopus 로고    scopus 로고
    • Near-ideal model selection by l1 minimization
    • Candès, E., and Plan, Y.: 2009, Near-ideal model selection by L1 minimization, Annals of Statistics 25(5A), 2145-2177.
    • (2009) Annals of Statistics , vol.25 , Issue.5A , pp. 2145-2177
    • Candès, E.1    Plan, Y.2
  • 84
    • 34249687049 scopus 로고    scopus 로고
    • Sparsity and incoherence in compressive sampling
    • Candès, E., and Romberg, J.: 2007, Sparsity and incoherence in compressive sampling, Inverse Problems 23, 969-985.
    • (2007) Inverse Problems , vol.23 , pp. 969-985
    • Candès, E.1    Romberg, J.2
  • 86
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • Candès, E., and Tao, T.: 2006, Near optimal signal recovery from random projections: Universal encoding strategies?, IEEE Transactions on Information Theory 52, 5406-5425.
    • (2006) IEEE Transactions on Information Theory , vol.52 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 87
    • 50849141334 scopus 로고    scopus 로고
    • The dantzig selector: Statistical estimation when p is much larger than n
    • Candès, E., and Tao, T.: 2007, The Dantzig selector: Statistical estimation when p is much larger than n, Annals of Statistics 35, 2392-2404.
    • (2007) Annals of Statistics , vol.35 , pp. 2392-2404
    • Candès, E.1    Tao, T.2
  • 88
    • 85032750937 scopus 로고    scopus 로고
    • People hearing without listening: An introduction to compressive sampling
    • Candès, E., and Wakin, M.: 2008, People hearing without listening: An introduction to compressive sampling, IEEE Signal Processing Magazine 25(2), 21-30.
    • (2008) IEEE Signal Processing Magazine , vol.25 , Issue.2 , pp. 21-30
    • Candès, E.1    Wakin, M.2
  • 90
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Candès, E., Romberg, J., and Tao, T.: 2006b, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Transactions on Information Theory 52(2), 489-509.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 91
  • 93
    • 0031122399 scopus 로고    scopus 로고
    • Infomax and maximum likelihood for source separation
    • Cardoso, J. F.: 1997, Infomax and maximum likelihood for source separation, IEEE Letters on Signal Processing 4(4), 112-114.
    • (1997) IEEE Letters on Signal Processing , vol.4 , Issue.4 , pp. 112-114
    • Cardoso, J.F.1
  • 94
    • 0032612381 scopus 로고    scopus 로고
    • High-order contrasts for independent component analysis
    • Cardoso, J.-F.: 1999, High-order contrasts for independent component analysis, Neural Computation 11(1), 157-192.
    • (1999) Neural Computation , vol.11 , Issue.1 , pp. 157-192
    • Cardoso, J.-F.1
  • 95
    • 8344285779 scopus 로고    scopus 로고
    • Dependence, correlation and non-gaussianity in independent component analysis
    • Cardoso, J.-F.: 2003, Dependence, correlation and non-Gaussianity in independent component analysis, Journal of Machine Learning Research 4, 1177-1203.
    • (2003) Journal of Machine Learning Research , vol.4 , pp. 1177-1203
    • Cardoso, J.-F.1
  • 97
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • Chambolle, A.: 2004, An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision 20(1-2), 89-97.
    • (2004) Journal of Mathematical Imaging and Vision , vol.20 , Issue.1-2 , pp. 89-97
    • Chambolle, A.1
  • 100
    • 34548724437 scopus 로고    scopus 로고
    • Exact reconstructions of sparse signals via nonconvex minimization
    • Chartrand, R.: 2007, Exact reconstructions of sparse signals via nonconvex minimization, IEEE Signal Processing Letters 14, 707-710.
    • (2007) IEEE Signal Processing Letters , vol.14 , pp. 707-710
    • Chartrand, R.1
  • 101
    • 44449127493 scopus 로고    scopus 로고
    • Restricted isometry properties and nonconvex compressive sensing
    • Chartrand, R., and Staneva, V.: 2008, Restricted isometry properties and nonconvex compressive sensing, Inverse Problems 24(035020), 1-14.
    • (2008) Inverse Problems , vol.24 , Issue.35020 , pp. 1-14
    • Chartrand, R.1    Staneva, V.2
  • 102
    • 34548678881 scopus 로고    scopus 로고
    • A variational formulation for frame based inverse problems
    • Chaux, C., Combettes, P., Pesquet, J.-C., and Wajs, V.: 2007, A variational formulation for frame based inverse problems, Inverse Problems 23, 1495-1518.
    • (2007) Inverse Problems , vol.23 , pp. 1495-1518
    • Chaux, C.1    Combettes, P.2    Pesquet, J.-C.3    Wajs, V.4
  • 104
    • 84897352338 scopus 로고    scopus 로고
    • Nested iterative algorithms for convex constrained image recovery problems
    • Chaux, C., Pesquet, J.-C., and Pustelnik, N.: 2009, Nested iterative algorithms for convex constrained image recovery problems, SIAM Journal on Imaging Sciences 2(2), 730-762.
    • (2009) SIAM Journal on Imaging Sciences , vol.2 , Issue.2 , pp. 730-762
    • Chaux, C.1    Pesquet, J.-C.2    Pustelnik, N.3
  • 105
    • 0031496462 scopus 로고    scopus 로고
    • Convergence rates in forward-backward splitting
    • Chen, G. H.-G., and Rockafellar, R. T.: 1997, Convergence rates in forward-backward splitting, SIAM Journal on Optimization 7(2), 421-444.
    • (1997) SIAM Journal on Optimization , vol.7 , Issue.2 , pp. 421-444
    • Chen, G.H.-G.1    Rockafellar, R.T.2
  • 106
    • 33947142837 scopus 로고    scopus 로고
    • Theoretical results on sparse representations for multiple measurement vectors
    • Chen, J., and Huo, X.: 2006, Theoretical results on sparse representations for multiple measurement vectors, IEEE Transactions on Signal Processing 54(12), 4634-4643.
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.12 , pp. 4634-4643
    • Chen, J.1    Huo, X.2
  • 108
    • 77952566605 scopus 로고    scopus 로고
    • Some theoretical results on the grouped variables lasso
    • Chesneau, C., and Hebiri, M.: 2008, Some theoretical results on the grouped variables Lasso, Mathematical Methods of Statistics 17(4), 317-326.
    • (2008) Mathematical Methods of Statistics , vol.17 , Issue.4 , pp. 317-326
    • Chesneau, C.1    Hebiri, M.2
  • 118
    • 0002001578 scopus 로고
    • Translation invariant de-noising
    • A. Antoniadis and G. Oppenheim, Springer, New York
    • Coifman, R., and Donoho, D.: 1995, Translation invariant de-noising, in A. Antoniadis and G. Oppenheim (eds.), Wavelets and Statistics, 125-150, Springer, New York.
    • (1995) Wavelets and Statistics , pp. 125-150
    • Coifman, R.1    Donoho, D.2
  • 120
    • 0000186542 scopus 로고
    • Wavelet analysis and signal processing
    • M. Ruskai, G. BeylkR. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael, Jones and Bartlett, Boston
    • Coifman, R., Meyer, Y., and Wickerhauser, M.: 1992, Wavelet analysis and signal processing, in M. Ruskai, G. Beylkin, R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael (eds.), Wavelets and Their Applications, 153-178, Jones and Bartlett, Boston.
    • (1992) Wavelets and Their Applications , pp. 153-178
    • Coifman, R.1    Meyer, Y.2    Wickerhauser, M.3
  • 122
    • 13244295576 scopus 로고    scopus 로고
    • Solving monotone inclusions via compositions of nonexpansive averaged operators
    • Combettes, P. L.: 2004, Solving monotone inclusions via compositions of nonexpansive averaged operators, Optimization 53(5-6), 475-504.
    • (2004) Optimization , vol.53 , Issue.5-6 , pp. 475-504
    • Combettes, P.L.1
  • 123
    • 39449085530 scopus 로고    scopus 로고
    • A douglas-rachford splitting approach to nonsmooth convex variational signal recovery
    • Combettes, P., and Pesquet, J.-C.: 2007a, A Douglas-Rachford splitting approach to nonsmooth convex variational signal recovery, IEEE Journal of Selected Topics in Signal Processing 1(2), 564-574.
    • (2007) IEEE Journal of Selected Topics in Signal Processing , vol.1 , Issue.2 , pp. 564-574
    • Combettes, P.1    Pesquet, J.-C.2
  • 124
    • 34548677063 scopus 로고    scopus 로고
    • Proximal thresholding algorithm for minimization over orthonormal bases
    • Combettes, P. L., and Pesquet, J.-C.: 2007b, Proximal thresholding algorithm for minimization over orthonormal bases, SIAM Journal on Optimization 18(4), 1351-1376.
    • (2007) SIAM Journal on Optimization , vol.18 , Issue.4 , pp. 1351-1376
    • Combettes, P.L.1    Pesquet, J.-C.2
  • 125
    • 62649171652 scopus 로고    scopus 로고
    • A proximal decomposition method for solving convex variational inverse problems
    • Combettes, P. L., and Pesquet, J.-C.: 2008, A proximal decomposition method for solving convex variational inverse problems, Inverse Problems 24(6), 065014.
    • (2008) Inverse Problems , vol.24 , Issue.6 , pp. 065014
    • Combettes, P.L.1    Pesquet, J.-C.2
  • 126
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • Combettes, P. L., and Wajs, V. R.: 2005, Signal recovery by proximal forward-backward splitting, Multiscale Modeling and Simulation 4(4), 1168-1200.
    • (2005) Multiscale Modeling and Simulation , vol.4 , Issue.4 , pp. 1168-1200
    • Combettes, P.L.1    Wajs, V.R.2
  • 127
    • 0028416938 scopus 로고
    • Independent component analysis, a new concept?
    • Comon, P.: 1994, Independent component analysis, a new concept?, Signal Processing 36(3), 287-314.
    • (1994) Signal Processing , vol.36 , Issue.3 , pp. 287-314
    • Comon, P.1
  • 129
  • 130
    • 4344675264 scopus 로고    scopus 로고
    • Region filling and object removal by examplar- based image inpainting
    • Criminisi, A., Perez, P., and Toyama, K.: 2004, Region filling and object removal by examplar- based image inpainting, IEEE Transactions on Image Processing 13(9), 1200-1212.
    • (2004) IEEE Transactions on Image Processing , vol.13 , Issue.9 , pp. 1200-1212
    • Criminisi, A.1    Perez, P.2    Toyama, K.3
  • 133
    • 70350003059 scopus 로고    scopus 로고
    • Aggregation by exponential weighting, sharp pac- bayesian bounds and sparsity
    • Dalalyan, A., and Tsybakov, A.: 2008, Aggregation by exponential weighting, sharp PAC- Bayesian bounds and sparsity, Machine Learning 72(1-2), 39-61.
    • (2008) Machine Learning , vol.72 , Issue.1-2 , pp. 39-61
    • Dalalyan, A.1    Tsybakov, A.2
  • 134
    • 84898067794 scopus 로고    scopus 로고
    • Sparse regression learning by aggregation and langevin monte-carlo
    • McGill University
    • Dalalyan, A., and Tsybakov, A.: 2009, Sparse regression learning by aggregation and Langevin Monte-Carlo, in 22th Annual Conference on Learning Theory, COLT, 10 pp. McGill University.
    • (2009) 22Th Annual Conference on Learning Theory, COLT , vol.10
    • Dalalyan, A.1    Tsybakov, A.2
  • 140
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • Daubechies, I., Defrise, M., and Mol, C. D.: 2004, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Communications on Pure and Applied Mathematics 57, 1413-1541.
    • (2004) Communications on Pure and Applied Mathematics , vol.57 , pp. 1413-1541
    • Daubechies, I.1    Defrise, M.2    Mol, C.D.3
  • 141
    • 57349127864 scopus 로고    scopus 로고
    • Accelerated projected gradient method for linear inverse problems with sparsity constraints
    • Daubechies, I., Fornasier, M., and Loris, I.: 2008, Accelerated projected gradient method for linear inverse problems with sparsity constraints, Journal of Fourier Analysis and Applications 14(5-6), 764-792.
    • (2008) Journal of Fourier Analysis and Applications , vol.14 , Issue.5-6 , pp. 764-792
    • Daubechies, I.1    Fornasier, M.2    Loris, I.3
  • 142
    • 2442449354 scopus 로고    scopus 로고
    • Identifiability issues in noisy ica
    • Davies, M.: 2004, Identifiability issues in noisy ICA, IEEE Signal Processing Letters 11, 470-473.
    • (2004) IEEE Signal Processing Letters , vol.11 , pp. 470-473
    • Davies, M.1
  • 144
    • 55349143117 scopus 로고    scopus 로고
    • Curvelets and wave atoms for mirror-extended images
    • San Diego, CA
    • Demanet, L., and Ying, L.: 2005, Curvelets and wave atoms for mirror-extended images, in Wavelets XII Conference, San Diego, CA.
    • (2005) Wavelets XII Conference
    • Demanet, L.1    Ying, L.2
  • 149
    • 36248929865 scopus 로고    scopus 로고
    • Deterministic constructions of compressed sensing matrices
    • De Vore, R.: 2007, Deterministic constructions of compressed sensing matrices, Journal of Complexity 23, 918-925.
    • (2007) Journal of Complexity , vol.23 , pp. 918-925
    • Devore, R.1
  • 151
    • 71649108949 scopus 로고    scopus 로고
    • Contourlets
    • J. Stoeckler and G. V. Welland, Academic, San Diego, CA
    • Do, M. N., and Vetterli, M.: 2003b, Contourlets, in J. Stoeckler and G. V. Welland (eds.), Beyond Wavelets, 83-104. Academic, San Diego, CA.
    • (2003) Beyond Wavelets , pp. 83-104
    • Do, M.N.1    Vetterli, M.2
  • 152
    • 0037239595 scopus 로고    scopus 로고
    • The finite ridgelet transform for image representation
    • Do, M. N., and Vetterli, M.: 2003c, The finite ridgelet transform for image representation, IEEE Transactions on Image Processing 12(1), 16-28.
    • (2003) IEEE Transactions on Image Processing , vol.12 , Issue.1 , pp. 16-28
    • Do, M.N.1    Vetterli, M.2
  • 153
    • 28944432472 scopus 로고    scopus 로고
    • The contourlet transform: An efficient directional multiresolution image representation
    • Do, M., and Vetterli, M.: 2005, The contourlet transform: An efficient directional multiresolution image representation., IEEE Transactions on Image Processing 14(12), 2091-2106.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.12 , pp. 2091-2106
    • Do, M.1    Vetterli, M.2
  • 155
    • 0029288068 scopus 로고
    • Nonlinear solution of inverse problems by wavelet-vaguelette decomposition
    • Donoho, D.: 1995b, Nonlinear solution of inverse problems by wavelet-vaguelette decomposition, Applied and Computational Harmonic Analysis 2, 101-126.
    • (1995) Applied and Computational Harmonic Analysis , vol.2 , pp. 101-126
    • Donoho, D.1
  • 156
    • 0034345319 scopus 로고    scopus 로고
    • Nonlinear pyramid transforms based on median-interpolation
    • Donoho, D.: 2000, Nonlinear pyramid transforms based on median-interpolation, SIAM Journal on Mathematical Analysis 60, 1137-1156.
    • (2000) SIAM Journal on Mathematical Analysis , vol.60 , pp. 1137-1156
    • Donoho, D.1
  • 158
    • 33646479497 scopus 로고    scopus 로고
    • High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
    • Donoho, D. L.: 2006b, High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension, Discrete and Computational Geometry 35(4), 617-652.
    • (2006) Discrete and Computational Geometry , vol.35 , Issue.4 , pp. 617-652
    • Donoho, D.L.1
  • 159
    • 0033716552 scopus 로고    scopus 로고
    • Digital curvelet transform: Strategy, implementation and experiments
    • H. Szu, M. Vetterli, W. Campbell, and J. Buss, SPIE, Bellingham
    • Donoho, D., and Duncan, M.: 2000, Digital curvelet transform: Strategy, implementation and experiments, in H. Szu, M. Vetterli, W. Campbell, and J. Buss (eds.), Aerosense 2000, Wavelet Applications VII, vol. 4056, 12-29, SPIE, Bellingham.
    • (2000) Aerosense 2000, Wavelet Applications VII , vol.4056 , pp. 12-29
    • Donoho, D.1    Duncan, M.2
  • 161
    • 20444478110 scopus 로고    scopus 로고
    • Digital ridgelet transform based on true ridge functions
    • J. Schmeidler and G. Welland, Academic, San Diego, CA
    • Donoho, D., and Flesia, A.: 2002, Digital ridgelet transform based on true ridge functions, in J. Schmeidler and G. Welland (eds.), Beyond Wavelets, 1-30. Academic, San Diego, CA.
    • (2002) Beyond Wavelets , pp. 1-30
    • Donoho, D.1    Flesia, A.2
  • 162
    • 0035504028 scopus 로고    scopus 로고
    • Uncertainty principles and ideal atomic decomposition
    • Donoho, D., and Huo, X.: 2001, Uncertainty principles and ideal atomic decomposition, IEEE Transactions on Information Theory 47(7), 2845-2862.
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.7 , pp. 2845-2862
    • Donoho, D.1    Huo, X.2
  • 163
    • 34547291918 scopus 로고    scopus 로고
    • Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data
    • Donoho, D. L., and Jin, J.: 2006, Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data, Annals of Statistics 34(6), 2980-3018.
    • (2006) Annals Of statistics , vol.34 , Issue.6 , pp. 2980-3018
    • Donoho, D.L.1    Jin, J.2
  • 164
    • 0041958932 scopus 로고
    • Ideal spatial adaptation via wavelet shrinkage
    • Donoho, D., and Johnstone, I.: 1994, Ideal spatial adaptation via wavelet shrinkage, Biometrika 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.1    Johnstone, I.2
  • 169
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • Donoho, D., Elad, M., and Temlyakov, V.: 2006a, Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Transactions on Information Theory 52(1), 6-18.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.1 , pp. 6-18
    • Donoho, D.1    Elad, M.2    Temlyakov, V.3
  • 170
    • 35548934118 scopus 로고    scopus 로고
    • Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit
    • submitted
    • Donoho, D., Tsaig, Y., Drori, I., and Starck, J.-L.: 2006b, Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit, IEEE Transactions on Information Theory, submitted.
    • (2006) IEEE Transactions on Information Theory
    • Donoho, D.1    Tsaig, Y.2    Drori, I.3    Starck, J.-L.4
  • 172
    • 84967782959 scopus 로고
    • On the numerical solution of heat conduction problems in two and three space variables
    • Douglas, J., and Rachford, H. H.: 1956, On the numerical solution of heat conduction problems in two and three space variables, Transactions of the American Mathematical Society 82, 421-439.
    • (1956) Transactions of the American Mathematical Society , vol.82 , pp. 421-439
    • Douglas, J.1    Rachford, H.H.2
  • 173
    • 36148998035 scopus 로고    scopus 로고
    • Leading-order seismic imaging using curvelets
    • Douma, H., and de Hoop, M. V.: 2007, Leading-order seismic imaging using curvelets, Geophysics 72, S231-S248.
    • (2007) Geophysics , vol.72 , pp. S231-S248
    • Douma, H.1    De Hoop, M.V.2
  • 175
    • 59649106568 scopus 로고    scopus 로고
    • A proximal iteration for deconvolving poisson noisy images using sparse representations
    • Dupé, F.-X., Fadili, M., and Starck, J.-L.: 2009, A proximal iteration for deconvolving Poisson noisy images using sparse representations, IEEE Transactions on Image Processing 18(2), 310-321.
    • (2009) IEEE Transactions on Image Processing , vol.18 , Issue.2 , pp. 310-321
    • Dupé, F.-X.1    Fadili, M.2    Starck, J.-L.3
  • 176
    • 33750973056 scopus 로고    scopus 로고
    • M-band filtering and nonredundant directional wavelets
    • Durand, S.: 2007, M-band filtering and nonredundant directional wavelets, Applied and Computational Harmonic Analysis 22(1), 124-139.
    • (2007) Applied and Computational Harmonic Analysis , vol.22 , Issue.1 , pp. 124-139
    • Durand, S.1
  • 177
    • 0141975226 scopus 로고    scopus 로고
    • Reconstruction of wavelet coefficients using total variation minimization
    • Durand, S., and Froment, J.: 2003, Reconstruction of wavelet coefficients using total variation minimization, SIAM Journal on Scientific Computing 24(5), 1754-1767.
    • (2003) SIAM Journal on Scientific Computing , vol.24 , Issue.5 , pp. 1754-1767
    • Durand, S.1    Froment, J.2
  • 178
  • 179
    • 0002087078 scopus 로고
    • An implementation of the “algorithme a trous” to compute the wavelet transform
    • J. Combes, A. Grossmann, and P. Tchamitchian, Springer, New York
    • Dutilleux, P.: 1987, An implementation of the “algorithme a trous” to compute the wavelet transform, in J. Combes, A. Grossmann, and P. Tchamitchian (eds.), Wavelets: Time- Frequency Methods and Phase-Space, 298-304, Springer, New York.
    • (1987) Wavelets: Time- Frequency Methods and Phase-Space , pp. 298-304
    • Dutilleux, P.1
  • 181
    • 34347211821 scopus 로고    scopus 로고
    • A family of projective splitting methods for the sum of two maximal monotone operators
    • Eckstein, J., and Svaiter, B. F.: 2008, A family of projective splitting methods for the sum of two maximal monotone operators, Mathematical Programming, Series B 111, 173-199.
    • (2008) Mathematical Programming, Series B , vol.111 , pp. 173-199
    • Eckstein, J.1    Svaiter, B.F.2
  • 182
    • 77951585455 scopus 로고    scopus 로고
    • General projective splitting methods for sums of maximal monotone operators
    • Eckstein, J., and Svaiter, B. F.: 2009, General projective splitting methods for sums of maximal monotone operators, SIAM Journal on Control and Optimization 48(2), 787-811.
    • (2009) SIAM Journal on Control and Optimization , vol.48 , Issue.2 , pp. 787-811
    • Eckstein, J.1    Svaiter, B.F.2
  • 184
    • 0033285309 scopus 로고    scopus 로고
    • Texture synthesis by non-parametric sampling
    • IEEE Computer Society, Kerkyra, Greece
    • Efros, A. A., and Leung, T. K.: 1999, Texture synthesis by non-parametric sampling, in IEEE International Conference on Computer Vision, vol. 2, 1033-1038, IEEE Computer Society, Kerkyra, Greece.
    • (1999) IEEE International Conference on Computer Vision , vol.2 , pp. 1033-1038
    • Efros, A.A.1    Leung, T.K.2
  • 185
    • 33947361050 scopus 로고    scopus 로고
    • Why simple shrinkage is still relevant for redundant representations
    • Elad, M.: 2006, Why simple shrinkage is still relevant for redundant representations, IEEE Transactions on Information Theory 52(12), 5559-5569.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.12 , pp. 5559-5569
    • Elad, M.1
  • 186
    • 70349620393 scopus 로고    scopus 로고
    • A plurality of sparse representations is better than the sparsest one alone
    • Elad, M., and Yavneh, I.: 2009, A plurality of sparse representations is better than the sparsest one alone, IEEE Transactions on Information Theory 55(10), 4701-4714.
    • (2009) IEEE Transactions on Information Theory , vol.55 , Issue.10 , pp. 4701-4714
    • Elad, M.1    Yavneh, I.2
  • 187
    • 27844460570 scopus 로고    scopus 로고
    • Simultaneous cartoon and texture image inpainting using morphological component analysis (mca)
    • Elad, M., Starck, J.-L., Donoho, D., and Querre, P.: 2005, Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA), Applied and Computational Harmonic Analysis 19, 340-358.
    • (2005) Applied and Computational Harmonic Analysis , vol.19 , pp. 340-358
    • Elad, M.1    Starck, J.-L.2    Donoho, D.3    Querre, P.4
  • 188
    • 34249671661 scopus 로고    scopus 로고
    • Analysis versus synthesis in signal priors
    • Elad, M., Milanfar, P., and Rubinstein, R.: 2007, Analysis versus synthesis in signal priors, Inverse Problems 23(3), 947-968.
    • (2007) Inverse Problems , vol.23 , Issue.3 , pp. 947-968
    • Elad, M.1    Milanfar, P.2    Rubinstein, R.3
  • 190
    • 13244268341 scopus 로고    scopus 로고
    • Analytical form for a bayesian wavelet estimator of images using the bessel k form densities
    • Fadili, M. J., and Boubchir, L.: 2005, Analytical form for a Bayesian wavelet estimator of images using the Bessel k form densities, IEEE Transactions on Image Processing 14(2), 231-240.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.2 , pp. 231-240
    • Fadili, M.J.1    Boubchir, L.2
  • 191
    • 27644549681 scopus 로고    scopus 로고
    • Penalized partially linear models using sparse representations with an application to fmri time series
    • Fadili, M. J., and Bullmore, E.: 2005, Penalized partially linear models using sparse representations with an application to fMRI time series, IEEE Transactions on Signal Processing 53(9), 3436-3448.
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.9 , pp. 3436-3448
    • Fadili, M.J.1    Bullmore, E.2
  • 192
    • 33749626700 scopus 로고    scopus 로고
    • Em algorithm for sparse representation-based image inpainting
    • IEEE Computer Society, Genoa, Italy
    • Fadili, M. J., and Starck, J.-L.: 2005, EM algorithm for sparse representation-based image inpainting, in IEEE ICIP05, vol. 2, 61-63, IEEE Computer Society, Genoa, Italy.
    • (2005) IEEE ICIP05 , vol.2 , pp. 61-63
    • Fadili, M.J.1    Starck, J.-L.2
  • 193
    • 42149166280 scopus 로고    scopus 로고
    • Sparse representation-based image deconvolution by iterative thresholding
    • F. Murtagh and J.-L. Starck, online only
    • Fadili, M. J., and Starck, J.-L.: 2006, Sparse representation-based image deconvolution by iterative thresholding, in F. Murtagh and J.-L. Starck (eds.), Proceedings of Astronomical Data Analysis IV, online only, http://www.oamp.fr/conf/ada4, Marseille, France.
    • (2006) Proceedings of Astronomical Data Analysis IV
    • Fadili, M.J.1    Starck, J.-L.2
  • 194
    • 70449617892 scopus 로고    scopus 로고
    • Monotone operator splitting for fast sparse solutions of inverse problems
    • submitted
    • Fadili, M. J., and Starck, J.-L.: 2009, Monotone operator splitting for fast sparse solutions of inverse problems, SIAM Journal on Imaging Sciences, submitted.
    • (2009) SIAM Journal on Imaging Sciences
    • Fadili, M.J.1    Starck, J.-L.2
  • 195
    • 34547494956 scopus 로고    scopus 로고
    • Morphological diversity and sparse image denoising
    • IEEE Computer Society, Honolulu, Hawaii
    • Fadili, M. J., Starck, J.-L., and Boubchir, L.: 2007, Morphological diversity and sparse image denoising, in IEEE ICASSP’07, vol. 1, 589-592, IEEE Computer Society, Honolulu, Hawaii.
    • (2007) IEEE ICASSP’07 , vol.1 , pp. 589-592
    • Fadili, M.J.1    Starck, J.-L.2    Boubchir, L.3
  • 198
    • 60649102899 scopus 로고    scopus 로고
    • Inpainting and zooming using sparse representations
    • Fadili, M. J., Starck, J.-L., and Murtagh, F.: 2009c, Inpainting and zooming using sparse representations, The Computer Journal 52, 64-79.
    • (2009) The Computer Journal , vol.52 , pp. 64-79
    • Fadili, M.J.1    Starck, J.-L.2    Murtagh, F.3
  • 199
    • 0009935552 scopus 로고    scopus 로고
    • Wavelets in statistics: A review
    • Comments on, by A. Antoniadis
    • Fan, J.: 1997, Comments on “Wavelets in statistics: A review,” by A. Antoniadis, Journal of the Italian Statistical Society 6, 131-138.
    • (1997) Journal of the Italian Statistical Society , vol.6 , pp. 131-138
    • Fan, J.1
  • 207
    • 0142200827 scopus 로고    scopus 로고
    • An em algorithm for wavelet-based image restoration
    • Figueiredo, M., and Nowak, R.: 2003, An EM algorithm for wavelet-based image restoration, IEEE Transactions on Image Processing 12(8), 906-916.
    • (2003) IEEE Transactions on Image Processing , vol.12 , Issue.8 , pp. 906-916
    • Figueiredo, M.1    Nowak, R.2
  • 208
    • 36749072615 scopus 로고    scopus 로고
    • Majorization-minimization algorithms for wavelet-based image restoration
    • Figueiredo, M., Bioucas-Dias, J. L., and Nowak, R.: 2007a, Majorization-minimization algorithms for wavelet-based image restoration, IEEE Transactions on Image Processing 16(12), 2980-2881.
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.12 , pp. 2881-2980
    • Figueiredo, M.1    Bioucas-Dias, J.L.2    Nowak, R.3
  • 209
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • Figueiredo, M., Nowak, R., and Wright, S.: 2007b, Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems, IEEE Journal of Selected Topics in Signal Processing 1(4), 586-597.
    • (2007) IEEE Journal of Selected Topics in Signal Processing , vol.1 , Issue.4 , pp. 586-597
    • Figueiredo, M.1    Nowak, R.2    Wright, S.3
  • 210
    • 36749084177 scopus 로고    scopus 로고
    • Domain decomposition methods for linear inverse problems with sparsity constraints
    • Fornasier, M.: 2007, Domain decomposition methods for linear inverse problems with sparsity constraints, Inverse Problems 23, 2505-2526.
    • (2007) Inverse Problems , vol.23 , pp. 2505-2526
    • Fornasier, M.1
  • 211
    • 36749019495 scopus 로고    scopus 로고
    • Recovery algorithms for vector-valued data with joint sparsity constraints
    • Fornasier, M., and Rauhut, H.: 2008, Recovery algorithms for vector-valued data with joint sparsity constraints, SIAM Journal on Numerical Analysis 46(2), 577-613.
    • (2008) SIAM Journal on Numerical Analysis , vol.46 , Issue.2 , pp. 577-613
    • Fornasier, M.1    Rauhut, H.2
  • 213
    • 0001126097 scopus 로고    scopus 로고
    • Regularization wavelets and multiresolution
    • Freeden, W., and Schneider, F.: 1998, Regularization wavelets and multiresolution, Inverse Problems 14, 225-243.
    • (1998) Inverse Problems , vol.14 , pp. 225-243
    • Freeden, W.1    Schneider, F.2
  • 214
    • 30244467469 scopus 로고    scopus 로고
    • Combined spherical harmonics and wavelet expansion - a future concept in earth's gravitational potential determination
    • Freeden, W., and Windheuser, U.: 1997, Combined spherical harmonics and wavelet expansion - a future concept in Earth's gravitational potential determination, Applied and Computational Harmonic Analysis 4, 1-37.
    • (1997) Applied and Computational Harmonic Analysis , vol.4 , pp. 1-37
    • Freeden, W.1    Windheuser, U.2
  • 216
    • 2942640138 scopus 로고    scopus 로고
    • On sparse representations in arbitrary redundant bases
    • Fuchs, J.-J.: 2004, On sparse representations in arbitrary redundant bases, IEEE Transactions on Information Theory 50(6), 1341-1344.
    • (2004) IEEE Transactions on Information Theory , vol.50 , Issue.6 , pp. 1341-1344
    • Fuchs, J.-J.1
  • 217
    • 77957064934 scopus 로고
    • Applications of the method of multipliers to variational inequalities
    • M. Fortin and R. Glowinski, North-Holland, Amsterdam
    • Gabay, D.: 1983, Applications of the method of multipliers to variational inequalities, in M. Fortin and R. Glowinski (eds.), Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems, 299-331, North-Holland, Amsterdam.
    • (1983) Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems , pp. 299-331
    • Gabay, D.1
  • 218
    • 0000293183 scopus 로고
    • Theory of communications
    • Gabor, D.: 1946, Theory of communications, Journal of theIEE (London) 93(III), 429-457.
    • (1946) Journal Of Theiee (London) , vol.93 , Issue.3 , pp. 429-457
    • Gabor, D.1
  • 219
  • 220
    • 0031312521 scopus 로고    scopus 로고
    • Waveshrink with firm shrinkage
    • Gao, H.-Y., and Bruce, A.: 1997, Waveshrink with firm shrinkage, Statistica Sinica 7, 855-874.
    • (1997) Statistica Sinica , vol.7 , pp. 855-874
    • Gao, H.-Y.1    Bruce, A.2
  • 222
    • 0008373677 scopus 로고
    • Stochastic algorithms for restricted image spaces and experiments in deblurring
    • A. J. R. Chellappa, Academic, San Diego, CA
    • Geman, D., Reynolds, G., and Yang, C.: 1993, Stochastic algorithms for restricted image spaces and experiments in deblurring, in A. J. R. Chellappa (ed.), Markov Random Fields Theory and Applications, 39-68, Academic, San Diego, CA.
    • (1993) Markov Random Fields Theory and Applications , pp. 39-68
    • Geman, D.1    Reynolds, G.2    Yang, C.3
  • 224
    • 23044451368 scopus 로고    scopus 로고
    • Sparse component analysis and blind source separation of underdetermined mixtures
    • Georgiev, P. G., Theis, F., and Cichocki, A.: 2005, Sparse component analysis and blind source separation of underdetermined mixtures, IEEE Transactions on Neural Networks 16(4), 992-996.
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.4 , pp. 992-996
    • Georgiev, P.G.1    Theis, F.2    Cichocki, A.3
  • 225
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • Golub, G., Heath, M., and Wahba, G.: 1979, Generalized cross-validation as a method for choosing a good ridge parameter, Technometrics 21, 215-223.
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.1    Heath, M.2    Wahba, G.3
  • 227
    • 0021642206 scopus 로고
    • Cycle-octave and related transforms in seismic signal analysis
    • Goupillaud, P., Grossmann, A., and Morlet, J.: 1985, Cycle-octave and related transforms in seismic signal analysis, Geoexploration 23, 85-102.
    • (1985) Geoexploration , vol.23 , pp. 85-102
    • Goupillaud, P.1    Grossmann, A.2    Morlet, J.3
  • 228
    • 0034314944 scopus 로고    scopus 로고
    • Nonlinear multiresolution signal decomposition schemes. Part 1: Morphological pyramids
    • Goutsias, J., and Heijmans, H.: 2000, Nonlinear multiresolution signal decomposition schemes. Part 1: Morphological pyramids, IEEE Transactions on Image Processing 9, 1862-1876.
    • (2000) IEEE Transactions on Image Processing , vol.9 , pp. 1862-1876
    • Goutsias, J.1    Heijmans, H.2
  • 230
    • 36549074701 scopus 로고    scopus 로고
    • Beyond sparsity: Recovering structured representations by 1-minimization and greedy algorithms. Application to the analysis of sparse underdetermined ica
    • Gribonval, R., and Nielsen, M.: 2008, Beyond sparsity: Recovering structured representations by 1-minimization and greedy algorithms. Application to the analysis of sparse underdetermined ICA, Journal of Advances in Computational Mathematics 28, 23-41.
    • (2008) Journal of Advances in Computational Mathematics , vol.28 , pp. 23-41
    • Gribonval, R.1    Nielsen, M.2
  • 231
    • 57349143370 scopus 로고    scopus 로고
    • Atoms of all channels, unite! average case analysis of multi-channel sparse recovery using greedy algorithms
    • Gribonval, R., Rauhut, H., Schnass, K., and Vandergheynst, P.: 2008, Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms, Journal of Fourier Analysis and Applications 14(5), 655-687.
    • (2008) Journal of Fourier Analysis and Applications , vol.14 , Issue.5 , pp. 655-687
    • Gribonval, R.1    Rauhut, H.2    Schnass, K.3    Vandergheynst, P.4
  • 232
    • 0000562670 scopus 로고
    • Decomposition of hardy functions into square integrable wavelets of constant shape
    • Grossmann, A., and Morlet, J.: 1984, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM Journal on Mathematical Analysis 15, 723-736.
    • (1984) SIAM Journal on Mathematical Analysis , vol.15 , pp. 723-736
    • Grossmann, A.1    Morlet, J.2
  • 233
    • 0000767807 scopus 로고
    • Reading and understanding the continuous wavelet transform
    • J. Combes, A. Grossmann, and P. Tchamitchian, Springer, New York
    • Grossmann, A., Kronland-Martinet, R., and Morlet, J.: 1989, Reading and understanding the continuous wavelet transform, in J. Combes, A. Grossmann, and P. Tchamitchian (eds.), Wavelets: Time-Frequency Methods and Phase-Space, 2-20, Springer, New York.
    • (1989) Wavelets: Time-Frequency Methods and Phase-Space , pp. 2-20
    • Grossmann, A.1    Kronland-Martinet, R.2    Morlet, J.3
  • 236
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen funktionensysteme
    • Haar, A.: 1910, Zur Theorie der orthogonalen Funktionensysteme, Mathematische Annalen 69, 331-371.
    • (1910) Mathematische Annalen , vol.69 , pp. 331-371
    • Haar, A.1
  • 237
    • 69649095451 scopus 로고    scopus 로고
    • Fixed-point continuation for l1-minimization: Methodology and convergence
    • Hale, E. T., Yin, W., and Zhang, Y.: 2008, Fixed-point continuation for l1-minimization: Methodology and convergence, SIAM Journal on Optimization 19, 1107-1130.
    • (2008) SIAM Journal on Optimization , vol.19 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3
  • 238
    • 0032360314 scopus 로고    scopus 로고
    • Block threshold rules for curve estimation using kernel and wavelet methods
    • Hall, P., Kerkyacharian, G., and Picard, D.: 1998, Block threshold rules for curve estimation using kernel and wavelet methods, Annals of Statistics 26(3), 922-942.
    • (1998) Annals of Statistics , vol.26 , Issue.3 , pp. 922-942
    • Hall, P.1    Kerkyacharian, G.2    Picard, D.3
  • 239
    • 0347181848 scopus 로고    scopus 로고
    • On the minimax optimality of block thresh- olded wavelet estimators
    • Hall, P., Kerkyacharian, G., and Picard, D.: 1999, On the minimax optimality of block thresh- olded wavelet estimators, Staistica Sinica 9, 33-50.
    • (1999) Staistica Sinica , vol.9 , pp. 33-50
    • Hall, P.1    Kerkyacharian, G.2    Picard, D.3
  • 241
    • 0034316249 scopus 로고    scopus 로고
    • Multiresolution signal decomposition schemes. Part 2: Morphological wavelets
    • Heijmans, H., and Goutsias, J.: 2000, Multiresolution signal decomposition schemes. Part 2: Morphological wavelets, IEEE Transactions on Image Processing 9, 1897-1913.
    • (2000) IEEE Transactions on Image Processing , vol.9 , pp. 1897-1913
    • Heijmans, H.1    Goutsias, J.2
  • 247
  • 249
    • 34249960111 scopus 로고
    • Astronomical image data compression by morphological skeleton transformation
    • Huang, L., and Bijaoui, A.: 1991, Astronomical image data compression by morphological skeleton transformation, Experimental Astronomy 1, 311-327.
    • (1991) Experimental Astronomy , vol.1 , pp. 311-327
    • Huang, L.1    Bijaoui, A.2
  • 251
    • 0034920427 scopus 로고    scopus 로고
    • A two-layer sparse coding model learns simple and complex cell receptive fields and topography from natural images
    • Hyvärinen, A., and Hoyer, P.: 2001, A two-layer sparse coding model learns simple and complex cell receptive fields and topography from natural images, Vision Research 41, 2413-2433.
    • (2001) Vision Research , vol.41 , pp. 2413-2433
    • Hyvärinen, A.1    Hoyer, P.2
  • 253
    • 33745611158 scopus 로고    scopus 로고
    • Hidden markov models for wavelet-based blind source separation
    • Ichir, M., and Djafari, A.: 2006, Hidden Markov models for wavelet-based blind source separation, IEEE Transactions on Image Processing 15(7), 1887-1899.
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.7 , pp. 1887-1899
    • Ichir, M.1    Djafari, A.2
  • 256
    • 0032665249 scopus 로고    scopus 로고
    • Multiple wavelet threshold estimation by generalized cross validation for data with correlated noise
    • Jansen, M., and Bultheel, A.: 1998, Multiple wavelet threshold estimation by generalized cross validation for data with correlated noise, IEEE Transactions on Image Processing 8(7), 947-953.
    • (1998) IEEE Transactions on Image Processing , vol.8 , Issue.7 , pp. 947-953
    • Jansen, M.1    Bultheel, A.2
  • 257
    • 0030682936 scopus 로고    scopus 로고
    • Generalized cross validation for wavelet thresholding
    • Jansen, M., Malfait, M., and Bultheel, A.: 1997, Generalized cross validation for wavelet thresholding, Signal Processing 56(1), 33-44.
    • (1997) Signal Processing , vol.56 , Issue.1 , pp. 33-44
    • Jansen, M.1    Malfait, M.2    Bultheel, A.3
  • 258
    • 0026124056 scopus 로고
    • Compound gauss-markov random fields for image estimation
    • Jeng, F., and Woods, J.: 1991, Compound Gauss-Markov random fields for image estimation, IEEE Transactions on Signal Processing 39, 683-697.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , pp. 683-697
    • Jeng, F.1    Woods, J.2
  • 260
    • 31544473485 scopus 로고    scopus 로고
    • Cosmological non- gaussian signatures detection: Comparison of statistical tests
    • Jin, J., Starck, J.-L., Donoho, D., Aghanim, N., and Forni, O.: 2005, Cosmological non- Gaussian signatures detection: Comparison of statistical tests, EURASIP Journal 15, 2470-2485.
    • (2005) EURASIP Journal , vol.15 , pp. 2470-2485
    • Jin, J.1    Starck, J.-L.2    Donoho, D.3    Aghanim, N.4    Forni, O.5
  • 270
    • 33746126624 scopus 로고    scopus 로고
    • Blockwise sparse regression
    • Kim, Y., Kim, J., and Kim, Y.: 2006, Blockwise sparse regression, Statistica Sinica 16(2), 375-390.
    • (2006) Statistica Sinica , vol.16 , Issue.2 , pp. 375-390
    • Kim, Y.1    Kim, J.2    Kim, Y.3
  • 271
    • 85019062859 scopus 로고    scopus 로고
    • The dual-tree complex wavelet transform: A new efficient tool for image restoration and enhancement
    • EURASIP, European Association for Image Processing, Kessariani, Greece
    • Kingsbury, N.: 1998, The dual-tree complex wavelet transform: A new efficient tool for image restoration and enhancement, in Proceedings of European Signal Processing Conference, 319-322, EURASIP, European Association for Image Processing, Kessariani, Greece.
    • (1998) Proceedings of European Signal Processing Conference , pp. 319-322
    • Kingsbury, N.1
  • 272
    • 0032674230 scopus 로고    scopus 로고
    • Shift invariant properties of the dual-tree complex wavelet transform
    • IEEE Computer Society, Piscataway
    • Kingsbury, N.: 1999, Shift invariant properties of the dual-tree complex wavelet transform, in Proceedings of IEEE Conference on Acoustics, Speech and Signal Processing, 1221-1224, IEEE Computer Society, Piscataway.
    • (1999) Proceedings of IEEE Conference on Acoustics, Speech and Signal Processing , pp. 1221-1224
    • Kingsbury, N.1
  • 273
    • 21744450423 scopus 로고    scopus 로고
    • Nonparametric estimation of gamma-ray burst intensities using haar wavelets
    • Kolaczyk, E.: 1997, Nonparametric estimation of gamma-ray burst intensities using Haar wavelets, Astrophysical Journal 483, 340-349.
    • (1997) Astrophysical Journal , vol.483 , pp. 340-349
    • Kolaczyk, E.1
  • 274
    • 0034179316 scopus 로고    scopus 로고
    • Nonparametric estimation of intensity maps using haar wavelets and poisson noise caracteristics
    • Kolaczyk, E., and Dixon, D.: 2000, Nonparametric estimation of intensity maps using Haar wavelets and Poisson noise caracteristics, Astrophysical Journal 534, 490-505.
    • (2000) Astrophysical Journal , vol.534 , pp. 490-505
    • Kolaczyk, E.1    Dixon, D.2
  • 276
    • 33750096193 scopus 로고    scopus 로고
    • Efficient variant of algorithm fastica for independent component analysis attaining the cramer-rao lower bound
    • Koldovsky, Z., Tichavsky, P., and Oja, E.: 2006, Efficient variant of algorithm FastICA for Independent Component Analysis attaining the Cramer-Rao lower bound, IEEE Transactions on Neural Networks 17, 1265-1277.
    • (2006) IEEE Transactions on Neural Networks , vol.17 , pp. 1265-1277
    • Koldovsky, Z.1    Tichavsky, P.2    Oja, E.3
  • 277
  • 278
    • 73049115925 scopus 로고    scopus 로고
    • Sparsity and persistence: Mixed norms provide simple signal models with dependent coefficients
    • Kowalski, M., and Torrésani, B.: 2009, Sparsity and persistence: Mixed norms provide simple signal models with dependent coefficients, Signal, Image and Video Processing 3(3), 251-264.
    • (2009) Signal, Image and Video Processing , vol.3 , Issue.3 , pp. 251-264
    • Kowalski, M.1    Torrésani, B.2
  • 279
    • 77952743529 scopus 로고    scopus 로고
    • Under-determined source separation via mixed-norm regularized minimization
    • EURASIP, European Association for Signal Processing, Kessariani, Greece, Lausanne, France
    • Kowalski, M., Vincent, E., and Gribonval, R.: 2008, Under-determined source separation via mixed-norm regularized minimization, in Proceedings of EUSIPCO’QS, EURASIP, European Association for Signal Processing, Kessariani, Greece, Lausanne, France.
    • (2008) Proceedings of EUSIPCO’QS
    • Kowalski, M.1    Vincent, E.2    Gribonval, R.3
  • 281
    • 0038802016 scopus 로고    scopus 로고
    • The hierarchical triangular mesh
    • A. J. Banday, S. Zaroubi, and M. Bartelmann, European Southern Observatory, Garching/Munich, Germany
    • Kunszt, P. Z., Szalay, A. S., and Thakar, A. R.: 2001, The hierarchical triangular mesh, in A. J. Banday, S. Zaroubi, and M. Bartelmann (eds.), Mining the Sky, 631-637, European Southern Observatory, Garching/Munich, Germany.
    • (2001) Mining the Sky , pp. 631-637
    • Kunszt, P.Z.1    Szalay, A.S.2    Thakar, A.R.3
  • 282
    • 36248952539 scopus 로고    scopus 로고
    • Sparse multidimensional representation using shearlets
    • SPIE, Bellingham
    • Labate, D., Lim, W.-Q., Kutyniok, G., and Weiss, G.: 2005, Sparse multidimensional representation using shearlets, in Wavelets XI, vol. 5914, 254-262, SPIE, Bellingham.
    • (2005) Wavelets XI , vol.5914 , pp. 254-262
    • Labate, D.1    Lim, W.-Q.2    Kutyniok, G.3    Weiss, G.4
  • 283
    • 33746891432 scopus 로고    scopus 로고
    • Curvelet analysis of asteroseismic data. I. Method description and application to simulated sun-like stars
    • Lambert, P., Pires, S., Ballot, J., García, R., Starck, J.-L., and Turck-Chièze, S.: 2006, Curvelet analysis of asteroseismic data. I. Method description and application to simulated sun-like stars, Astronomy and Astrophysics 454, 1021-1027.
    • (2006) Astronomy and Astrophysics , vol.454 , pp. 1021-1027
    • Lambert, P.1    Pires, S.2    Ballot, J.3    García, R.4    Starck, J.-L.5    Turck-Chièze, S.6
  • 286
    • 17544369568 scopus 로고    scopus 로고
    • Sparse geometric image representations with bandelets
    • Le Pennec, E., and Mallat, S.: 2005, Sparse geometric image representations with bandelets, IEEE Transactions on Image Processing 14(4), 423-438.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.4 , pp. 423-438
    • Le Pennec, E.1    Mallat, S.2
  • 287
    • 0034133184 scopus 로고    scopus 로고
    • Learning overcomplete representations
    • Lewicki, M. S., and Sejnowski, T. J.: 2000, Learning overcomplete representations, Neural Computation 12(2), 337-365.
    • (2000) Neural Computation , vol.12 , Issue.2 , pp. 337-365
    • Lewicki, M.S.1    Sejnowski, T.J.2
  • 289
    • 51849090507 scopus 로고    scopus 로고
    • Image restoration and decomposition via bounded total variation and negative hilbert-sobolev spaces
    • Lieu, L. H., and Vese, L. A.: 2008, Image restoration and decomposition via bounded total variation and negative Hilbert-Sobolev spaces, Applied Mathematics and Optimization 58(2), 167-193.
    • (2008) Applied Mathematics and Optimization , vol.58 , Issue.2 , pp. 167-193
    • Lieu, L.H.1    Vese, L.A.2
  • 291
    • 51249184386 scopus 로고
    • Une méthode itérative de resolution d’une inéquation variationnelle
    • Lions, P.-L.: 1978, Une méthode itérative de resolution d’une inéquation variationnelle, Israel Journal of Mathematics 31, 204-208.
    • (1978) Israel Journal of Mathematics , vol.31 , pp. 204-208
    • Lions, P.-L.1
  • 292
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • Lions, P.-L., and Mercier, B.: 1979, Splitting algorithms for the sum of two nonlinear operators, SIAM Journal on Numerical Analysis 16, 964-979.
    • (1979) SIAM Journal on Numerical Analysis , vol.16 , pp. 964-979
    • Lions, P.-L.1    Mercier, B.2
  • 296
    • 1242263472 scopus 로고    scopus 로고
    • Crips-contourlets: A critical sampled directional multiresolution image representation
    • SPIE, Bellingham
    • Lu, Y., and Do, M.: 2003, Crips-contourlets: A critical sampled directional multiresolution image representation, in Wavelet X, 655-665, SPIE, Bellingham.
    • (2003) Wavelet X , pp. 655-665
    • Lu, Y.1    Do, M.2
  • 297
    • 33947206581 scopus 로고    scopus 로고
    • A new sure approach to image denoising: Interscale orthonormal wavelet thresholding
    • Luisier, F., Blu, T., and Unser, M.: 2007, A new SURE approach to image denoising: Interscale orthonormal wavelet thresholding, IEEE Transactions on Image Processing 16(3), 593-606.
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.3 , pp. 593-606
    • Luisier, F.1    Blu, T.2    Unser, M.3
  • 298
    • 36849088522 scopus 로고    scopus 로고
    • Sparse mri: The application of compressed sensing for rapid mr imaging
    • Lustig, M., Donoho, D. L., and Pauly, J. M.: 2007, Sparse MRI: The application of compressed sensing for rapid MR imaging, Magnetic Resonance in Medicine 58(6), 1182-1195.
    • (2007) Magnetic Resonance in Medicine , vol.58 , Issue.6 , pp. 1182-1195
    • Lustig, M.1    Donoho, D.L.2    Pauly, J.M.3
  • 301
    • 0013212026 scopus 로고    scopus 로고
    • Mathematical analysis of a model which combines total variation and wavelet for image restoration
    • Malgouyres, F.: 2002a, Mathematical analysis of a model which combines total variation and wavelet for image restoration, Journal of Information Processeses 2(1), 1-10.
    • (2002) Journal of Information Processeses , vol.2 , Issue.1 , pp. 1-10
    • Malgouyres, F.1
  • 302
    • 0036997203 scopus 로고    scopus 로고
    • Minimizing the total variation under a general convex constraint for image restoration
    • Malgouyres, F.: 2002b, Minimizing the total variation under a general convex constraint for image restoration, IEEE Transactions on Image Processing 11(12), 1450-1456.
    • (2002) IEEE Transactions on Image Processing , vol.11 , Issue.12 , pp. 1450-1456
    • Malgouyres, F.1
  • 303
    • 25444450079 scopus 로고    scopus 로고
    • A sparse signal reconstruction perspective for source localization with sensor arrays
    • Malioutov, D., Cetin, M., and Willsky, A. S.: 2005, A sparse signal reconstruction perspective for source localization with sensor arrays, IEEE Transactions on Image Processing 53(8), 3010-3022.
    • (2005) IEEE Transactions on Image Processing , vol.53 , Issue.8 , pp. 3010-3022
    • Malioutov, D.1    Cetin, M.2    Willsky, A.S.3
  • 304
  • 307
    • 52349096502 scopus 로고    scopus 로고
    • Orthogonal bandlet bases for geometric images approximation
    • Mallat, S., and Peyré, G.: 2008, Orthogonal bandlet bases for geometric images approximation, Communications on Pure and Applied Mathematics 61(9), 1173-1212.
    • (2008) Communications on Pure and Applied Mathematics , vol.61 , Issue.9 , pp. 1173-1212
    • Mallat, S.1    Peyré, G.2
  • 310
    • 0001729611 scopus 로고
    • Détermination approchée d’un point fixe d’une application pseudocontractante
    • Martinet, B.: 1972, Détermination approchée d’un point fixe d’une application pseudocontractante, Comptes Rendus de l’Académie des Sciences de Paris 1274, 163-165.
    • (1972) Comptes Rendus De L’Académie Des Sciences De Paris , vol.1274 , pp. 163-165
    • Martinet, B.1
  • 311
    • 0032307593 scopus 로고    scopus 로고
    • Level lines based disocclusion
    • IEEE Computer Society, Piscataway
    • Masnou, S., and Morel, J.: 1998, Level lines based disocclusion, in IEEE International Conference on Image Processing, vol. III, 259-263, IEEE Computer Society, Piscataway.
    • (1998) IEEE International Conference on Image Processing , vol.3 , pp. 259-263
    • Masnou, S.1    Morel, J.2
  • 312
    • 0036474805 scopus 로고    scopus 로고
    • Disocclusion: A variational approach using level lines
    • Masnou, S., and Morel, J.: 2002, Disocclusion: A variational approach using level lines, IEEE Transactions on Image Processing 11(2), 68-76.
    • (2002) IEEE Transactions on Image Processing , vol.11 , Issue.2 , pp. 68-76
    • Masnou, S.1    Morel, J.2
  • 319
    • 33747163541 scopus 로고    scopus 로고
    • High-dimensional graphs and variable selection with the lasso
    • Meinshausen, N., and Bühlmann, P.: 2006, High-dimensional graphs and variable selection with the lasso, Annals of Statistics 34(3), 1436-1462.
    • (2006) Annals of Statistics , vol.34 , Issue.3 , pp. 1436-1462
    • Meinshausen, N.1    Bühlmann, P.2
  • 320
    • 0026256028 scopus 로고
    • Analysis of turbulence in the orthonormal wavelet representation
    • Meneveau, C.: 1991, Analysis of turbulence in the orthonormal wavelet representation, Journal of Fluid Mechanics 232, 469-520.
    • (1991) Journal of Fluid Mechanics , vol.232 , pp. 469-520
    • Meneveau, C.1
  • 323
    • 0036708846 scopus 로고    scopus 로고
    • Multilayered image representation: Application to image compression
    • Meyer, F., Averbuch, A., and Coifman, R.: 2002, Multilayered image representation: Application to image compression, IEEE Transactions on Image Processing 11, 1072-1080.
    • (2002) IEEE Transactions on Image Processing , vol.11 , pp. 1072-1080
    • Meyer, F.1    Averbuch, A.2    Coifman, R.3
  • 330
    • 0001944969 scopus 로고
    • Wavelet transforms associated with the n-dimensional euclidean group with dilations: Signal in more than one dimension
    • A. G. J. M. Combes and P. Tchamitchian, Springer, New York
    • Murenzi, R.: 1988, Wavelet transforms associated with the n-dimensional Euclidean group with dilations: Signal in more than one dimension, in A. G. J. M. Combes and P. Tchamitchian (eds.), Wavelets: Time-Frequency Methods and Phase Space, 239-246, Springer, New York.
    • (1988) Wavelets: Time-Frequency Methods and Phase Space , pp. 239-246
    • Murenzi, R.1
  • 332
    • 44649193569 scopus 로고    scopus 로고
    • Wavelet and curvelet moments for image classification: Application to aggregate mixture grading
    • Murtagh, F., and Starck, J.: 2008, Wavelet and curvelet moments for image classification: Application to aggregate mixture grading, Pattern Recognition Letters 29, 1557-1564.
    • (2008) Pattern Recognition Letters , vol.29 , pp. 1557-1564
    • Murtagh, F.1    Starck, J.2
  • 334
    • 0000223210 scopus 로고
    • Non-linear neurons in the low-noise limit: A factorial code maximises information transfer
    • Nadal, J.-P., and Parga, N.: 1994, Non-linear neurons in the low-noise limit: A factorial code maximises information transfer, Network 4, 295-312.
    • (1994) Network , vol.4 , pp. 295-312
    • Nadal, J.-P.1    Parga, N.2
  • 335
    • 62749175137 scopus 로고    scopus 로고
    • Cosamp: Iterative signal recovery from incomplete and inaccurate samples
    • Needell, D., and Tropp, J. A.: 2008, Co SaMP: Iterative signal recovery from incomplete and inaccurate samples, Applied and Computational Harmonic Analysis 6, 301-321.
    • (2008) Applied and Computational Harmonic Analysis , vol.6 , pp. 301-321
    • Needell, D.1    Tropp, J.A.2
  • 336
    • 57849144332 scopus 로고    scopus 로고
    • Signal recovery from incomplete and inaccurate measurements via regularized orthogonal matching pursuit
    • press
    • Needell, D., and Vershynin, R.: 2009, Signal recovery from incomplete and inaccurate measurements via regularized orthogonal matching pursuit, IEEE Journal of Selected Topics in Signal Processing, in press.
    • (2009) IEEE Journal of Selected Topics in Signal Processing
    • Needell, D.1    Vershynin, R.2
  • 337
    • 0742286341 scopus 로고    scopus 로고
    • Forward: Fourier-wavelet regularized deconvolution for ill-conditioned systems
    • Neelamani, R., Choi, H., and Baraniuk, R. G.: 2004, Forward: Fourier-wavelet regularized deconvolution for ill-conditioned systems, IEEE Transactions on Signal Processing 52(2), 418-433.
    • (2004) IEEE Transactions on Signal Processing , vol.52 , Issue.2 , pp. 418-433
    • Neelamani, R.1    Choi, H.2    Baraniuk, R.G.3
  • 339
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of non-smooth functions
    • Nesterov, Y.: 2005, Smooth minimization of non-smooth functions, Mathematical Programming, Series A 103(1), 127-152.
    • (2005) Mathematical Programming, Series A , vol.103 , Issue.1 , pp. 127-152
    • Nesterov, Y.1
  • 340
    • 67651063011 scopus 로고    scopus 로고
    • CORE Discussion Paper 2007076, University Catholique de Louva Center for Operations Research and Econometrics (CORE), Louva France
    • Nesterov, Y.: 2007, Gradient Methods for Minimizing Composite Objective Function, CORE Discussion Paper 2007076, University Catholique de Louvain, Center for Operations Research and Econometrics (CORE), Louvain, France.
    • (2007) Gradient Methods for Minimizing Composite Objective Function
    • Nesterov, Y.1
  • 341
    • 55149100053 scopus 로고    scopus 로고
    • Another look at huber's estimator: A new minimax estimator in regression with stochastically bounded noise
    • Nia, X. S., and Huo, X.: 2009, Another look at Huber's estimator: A new minimax estimator in regression with stochastically bounded noise, Journal of Statistical Planning and Inference 139(2), 503-515.
    • (2009) Journal of Statistical Planning and Inference , vol.139 , Issue.2 , pp. 503-515
    • Nia, X.S.1    Huo, X.2
  • 342
    • 0142176890 scopus 로고    scopus 로고
    • Local strong homogeneity of a regularized estimator
    • Nikolova, M.: 2000, Local strong homogeneity of a regularized estimator, SIAM Journal on Applied Mathematics 61(2), 633-658.
    • (2000) SIAM Journal on Applied Mathematics , vol.61 , Issue.2 , pp. 633-658
    • Nikolova, M.1
  • 343
    • 0038042413 scopus 로고    scopus 로고
    • Minimizers of cost-functions involving nonsmooth data-fidelity terms: Application to the processing of outliers
    • Nikolova, M.: 2002, Minimizers of cost-functions involving nonsmooth data-fidelity terms: Application to the processing of outliers, SIAM Journal on Numerical Analysis 40(3), 965-994.
    • (2002) SIAM Journal on Numerical Analysis , vol.40 , Issue.3 , pp. 965-994
    • Nikolova, M.1
  • 344
    • 1242284980 scopus 로고    scopus 로고
    • A variational approach to remove outliers and impulse noise
    • Nikolova, M.: 2004, A variational approach to remove outliers and impulse noise, Journal of Mathematical Imaging and Vision 20(1-2), 99-120.
    • (2004) Journal of Mathematical Imaging and Vision , vol.20 , Issue.1-2 , pp. 99-120
    • Nikolova, M.1
  • 345
    • 33748416181 scopus 로고    scopus 로고
    • Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares
    • Nikolova, M.: 2005, Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares, Multiscale Modeling and Simulation 4(3), 960-991.
    • (2005) Multiscale Modeling and Simulation , vol.4 , Issue.3 , pp. 960-991
    • Nikolova, M.1
  • 347
    • 0030779611 scopus 로고    scopus 로고
    • Sparse coding with an overcomplete basis set: A strategy employed by v1?
    • Olshausen, B., and Field, D.: 1996a, Sparse coding with an overcomplete basis set: A strategy employed by V1?, Vision Research 37, 3311-3325.
    • (1996) Vision Research , vol.37 , pp. 3311-3325
    • Olshausen, B.1    Field, D.2
  • 348
    • 0029938380 scopus 로고    scopus 로고
    • Emergence of simple-cell receptive-field properties by learning a sparse code for natural images
    • Olshausen, B. A., and Field, D. J.: 1996b, Emergence of simple-cell receptive-field properties by learning a sparse code for natural images, Nature 381(6583), 607-609.
    • (1996) Nature , vol.381 , Issue.6583 , pp. 607-609
    • Olshausen, B.A.1    Field, D.J.2
  • 349
  • 351
    • 0000120615 scopus 로고
    • Ergodic convergence to a zero of the sum of monotone operators in hilbert space
    • Passty, G.: 1979, Ergodic convergence to a zero of the sum of monotone operators in Hilbert space, Journal of Mathematical Analysis and Applications 72, 383-390.
    • (1979) Journal of Mathematical Analysis and Applications , vol.72 , pp. 383-390
    • Passty, G.1
  • 352
    • 84898936603 scopus 로고    scopus 로고
    • Maximum likelihood blind source separation: A context- sensitive generalization of ica
    • Pearlmutter, B., and Parra, L.: 1997, Maximum likelihood blind source separation: A context- sensitive generalization of ICA, Advances in Neural Information Processing Systems 9, 613-619.
    • (1997) Advances in Neural Information Processing Systems , vol.9 , pp. 613-619
    • Pearlmutter, B.1    Parra, L.2
  • 353
    • 34547547093 scopus 로고    scopus 로고
    • A review of bandlet methods for geometrical image representation
    • Peyré, G., and Mallat, S.: 2007, A review of bandlet methods for geometrical image representation, Numerical Algorithms 44(3), 205-234.
    • (2007) Numerical Algorithms , vol.44 , Issue.3 , pp. 205-234
    • Peyré, G.1    Mallat, S.2
  • 354
    • 42149162472 scopus 로고    scopus 로고
    • Learning adapted dictionaries for geometry and texture separation
    • SPIE, Bellingham, WA
    • Peyré, G., Fadili, M. J., and Starck, J.-L.: 2007, Learning adapted dictionaries for geometry and texture separation, in Wavelet XII, 6701-66, SPIE, Bellingham, WA.
    • (2007) Wavelet XII , pp. 6701-6766
    • Peyré, G.1    Fadili, M.J.2    Starck, J.-L.3
  • 355
    • 0002049291 scopus 로고
    • Separation of a mixture of independent sources through a maximum likelihood approach
    • EURASIP, European Association for Signal Processing, Kessariani, Greece
    • Pham, D.-T., Garrat, P., and Jutten, C.: 1992, Separation of a mixture of independent sources through a maximum likelihood approach, in Proceedings of EUSIPCO, 771-774, EURASIP, European Association for Signal Processing, Kessariani, Greece.
    • (1992) Proceedings of EUSIPCO , pp. 771-774
    • Pham, D.-T.1    Garrat, P.2    Jutten, C.3
  • 356
    • 0036647667 scopus 로고    scopus 로고
    • Adaptive lifting schemes with perfect reconstruction
    • Piella, G., and Heijmans, H.: 2002, Adaptive lifting schemes with perfect reconstruction, IEEE Transactions on Image Processing 50(7), 1620-1630.
    • (2002) IEEE Transactions on Image Processing , vol.50 , Issue.7 , pp. 1620-1630
    • Piella, G.1    Heijmans, H.2
  • 357
    • 0036563492 scopus 로고    scopus 로고
    • Joint inter- and intrascale statistical model for bayesian wavelet-based image denoising
    • Pizurica, A., Philips, W., Lemahieu, I., and Achenoy, M.: 2002, Joint inter- and intrascale statistical model for Bayesian wavelet-based image denoising, IEEE Transactions on Image Processing 11(5), 545-557.
    • (2002) IEEE Transactions on Image Processing , vol.11 , Issue.5 , pp. 545-557
    • Pizurica, A.1    Philips, W.2    Lemahieu, I.3    Achenoy, M.4
  • 359
    • 33748848713 scopus 로고    scopus 로고
    • A projection iteration for nonlinear operator equations with sparsity constraints
    • Ramlau, R., and Teschke, G.: 2006, A projection iteration for nonlinear operator equations with sparsity constraints, Numerische Mathematik 104, 177-203.
    • (2006) Numerische Mathematik , vol.104 , pp. 177-203
    • Ramlau, R.1    Teschke, G.2
  • 360
    • 62649111983 scopus 로고    scopus 로고
    • A compressive landweber iteration for solving ill-posed inverse problems
    • 065013
    • Ramlau, R., Teschke, G., and Zhariy, M.: 2008, A compressive Landweber iteration for solving ill-posed inverse problems, Inverse Problems 24(6), 065013.
    • (2008) Inverse Problems , vol.24 , Issue.6
    • Ramlau, R.1    Teschke, G.2    Zhariy, M.3
  • 361
    • 0037854586 scopus 로고    scopus 로고
    • Structure and texture filling-in of missing image blocks for wireless transmission and compression applications
    • Rane, S., Bertalmio, M., and Sapiro, G.: 2002, Structure and texture filling-in of missing image blocks for wireless transmission and compression applications, IEEE Transactions on Image Processing 12(3), 296-303.
    • (2002) IEEE Transactions on Image Processing , vol.12 , Issue.3 , pp. 296-303
    • Rane, S.1    Bertalmio, M.2    Sapiro, G.3
  • 363
    • 0026745217 scopus 로고
    • Fast algorithms for discrete and continuous wavelet transforms
    • Rioul, O., and Duhamel, P.: 1992, Fast algorithms for discrete and continuous wavelet transforms, IEEE Transactions on Information Theory 2(38), 569-586.
    • (1992) IEEE Transactions on Information Theory , vol.2 , Issue.38 , pp. 569-586
    • Rioul, O.1    Duhamel, P.2
  • 364
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R.: 1970, Convex Analysis, Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.1
  • 366
    • 52349092455 scopus 로고    scopus 로고
    • On sparse reconstruction from fourier and gaussian measurements
    • Rudelson, M., and Vershynin, R.: 2007, On sparse reconstruction from Fourier and Gaussian measurements, Communications on Pure and Applied Mathematics 61(8), 1025-1045.
    • (2007) Communications on Pure and Applied Mathematics , vol.61 , Issue.8 , pp. 1025-1045
    • Rudelson, M.1    Vershynin, R.2
  • 367
    • 44049111982 scopus 로고
    • Nonlinear total variation noise removal algorithm
    • Rudin, L., Osher, S., and Fatemi, E.: 1992, Nonlinear total variation noise removal algorithm, Physica D 60, 259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 370
    • 23044521122 scopus 로고    scopus 로고
    • Block coordinate relaxation methods for nonpara- metric wavelet denoising
    • Sardy, S., Bruce, A., and Tseng, P.: 2000, Block coordinate relaxation methods for nonpara- metric wavelet denoising, Journal of Computational and Graphical Statistics 9(2), 361-379.
    • (2000) Journal of Computational and Graphical Statistics , vol.9 , Issue.2 , pp. 361-379
    • Sardy, S.1    Bruce, A.2    Tseng, P.3
  • 373
    • 0040033558 scopus 로고
    • Wavelet methods in astronomical time series analysis
    • O. Lessi, University of Padua Press, Italy
    • Scargle, P.: 1993, Wavelet methods in astronomical time series analysis, in O. Lessi (ed.), Applications of Time Series Analysis in Astronomy and Meteorology, 226-248, University of Padua Press, Italy.
    • (1993) Applications of Time Series Analysis in Astronomy and Meteorology , pp. 226-248
    • Scargle, P.1
  • 374
    • 0029179426 scopus 로고
    • Spherical wavelets: Efficiently representing functions on the sphere
    • ACM, Association for Computing Machinery, New York
    • Schröder, P., and Sweldens, W.: 1995, Spherical wavelets: Efficiently representing functions on the sphere, in SIGGRAPH 95, Computer Graphics Proceedings, 161-172, ACM, Association for Computing Machinery, New York.
    • (1995) SIGGRAPH 95, Computer Graphics Proceedings , pp. 161-172
    • Schröder, P.1    Sweldens, W.2
  • 375
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G.: 1978, Estimating the dimension of a model, Annals of Statistics 6, 461-464.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 377
    • 85032751971 scopus 로고    scopus 로고
    • The dual-tree complex wavelet transform - a coherent framework for multiscale signal and image processing
    • Selesnick, I., Kingsbury, N. G., and Baraniuk, R. G.: 2005, The dual-tree complex wavelet transform - a coherent framework for multiscale signal and image processing, Signal Processing Magazine 22(6), 123-151.
    • (2005) Signal Processing Magazine , vol.22 , Issue.6 , pp. 123-151
    • Selesnick, I.1    Kingsbury, N.G.2    Baraniuk, R.G.3
  • 378
    • 0036844073 scopus 로고    scopus 로고
    • Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency
    • Sendur, L., and Selesnick, I.: 2002, Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency, IEEE Transactions on Signal Processing 50(11), 2744-2756.
    • (2002) IEEE Transactions on Signal Processing , vol.50 , Issue.11 , pp. 2744-2756
    • Sendur, L.1    Selesnick, I.2
  • 380
    • 84940644968 scopus 로고
    • A mathematical theory for communication
    • Shannon, C.: 1948, A mathematical theory for communication, Bell System Technical Journal 27, 379-423.
    • (1948) Bell System Technical Journal , vol.27 , pp. 379-423
    • Shannon, C.1
  • 382
    • 0026938667 scopus 로고
    • Discrete wavelet transforms: Wedding the à trous and mallat algorithms
    • Shensa, M.: 1992, Discrete wavelet transforms: Wedding the à trous and Mallat algorithms, IEEE Transactions on Signal Processing 40, 2464-2482.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , pp. 2464-2482
    • Shensa, M.1
  • 383
    • 0034934777 scopus 로고    scopus 로고
    • Natural image statistics and neural representation
    • Simoncelli, E., and Olshausen, B.: 2001, Natural image statistics and neural representation, Annual Review of Neuroscience 24, 1193-1216.
    • (2001) Annual Review of Neuroscience , vol.24 , pp. 1193-1216
    • Simoncelli, E.1    Olshausen, B.2
  • 385
    • 12044255837 scopus 로고
    • Objective detection of voids and high density structures in the first cfa redshift survey slice
    • Slezak, E., de Lapparent, V., and Bijaoui, A.: 1993, Objective detection of voids and high density structures in the first CfA redshift survey slice, Astrophysical Journal 409, 517-529.
    • (1993) Astrophysical Journal , vol.409 , pp. 517-529
    • Slezak, E.1    De Lapparent, V.2    Bijaoui, A.3
  • 389
    • 51849156875 scopus 로고    scopus 로고
    • Nonlinear multiscale transforms
    • T. Barth, T. Chan, and R. Haimes, Springer, New York
    • Starck, J.-L.: 2002, Nonlinear multiscale transforms, in T. Barth, T. Chan, and R. Haimes (eds.), Multiscale and Multiresolution Methods, 239-278, Springer, New York.
    • (2002) Multiscale and Multiresolution Methods , pp. 239-278
    • Starck, J.-L.1
  • 390
    • 0028372050 scopus 로고
    • Filtering and deconvolution by the wavelet transform
    • Starck, J.-L., and Bijaoui, A.: 1994, Filtering and deconvolution by the wavelet transform, Signal Processing 35, 195-211.
    • (1994) Signal Processing , vol.35 , pp. 195-211
    • Starck, J.-L.1    Bijaoui, A.2
  • 391
    • 0000691283 scopus 로고
    • Image restoration with noise suppression using the wavelet transform
    • Starck, J.-L., and Murtagh, F.: 1994, Image restoration with noise suppression using the wavelet transform, Astronomy and Astrophysics 288, 343-348.
    • (1994) Astronomy and Astrophysics , vol.288 , pp. 343-348
    • Starck, J.-L.1    Murtagh, F.2
  • 393
    • 0001308761 scopus 로고
    • Image reconstruction by the wavelet transform applied to aperture synthesis
    • Starck, J.-L., Bijaoui, A., Lopez, B., and Perrier, C.: 1994, Image reconstruction by the wavelet transform applied to aperture synthesis, Astronomy and Astrophysics 283, 349-360.
    • (1994) Astronomy and Astrophysics , vol.283 , pp. 349-360
    • Starck, J.-L.1    Bijaoui, A.2    Lopez, B.3    Perrier, C.4
  • 399
    • 0037316980 scopus 로고    scopus 로고
    • Astronomical image representation by the curvelet tansform
    • Starck, J.-L., Candès, E., and Donoho, D.: 2003a, Astronomical image representation by the curvelet tansform, Astronomy and Astrophysics 398, 785-800.
    • (2003) Astronomy and Astrophysics , vol.398 , pp. 785-800
    • Starck, J.-L.1    Candès, E.2    Donoho, D.3
  • 401
    • 0043265073 scopus 로고    scopus 로고
    • Wavelets and curvelets for image deconvolution: A combined approach
    • Starck, J.-L., Nguyen, M., and Murtagh, F.: 2003c, Wavelets and curvelets for image deconvolution: A combined approach, Signal Processing 83(10), 2279-2283.
    • (2003) Signal Processing , vol.83 , Issue.10 , pp. 2279-2283
    • Starck, J.-L.1    Nguyen, M.2    Murtagh, F.3
  • 402
    • 1542437304 scopus 로고    scopus 로고
    • Detecting cosmological non-gaussian signatures by multi-scale methods
    • Starck, J.-L., Aghanim, N., and Forni, O.: 2004a, Detecting cosmological non-Gaussian signatures by multi-scale methods, Astronomy and Astrophysics 416, 9-17.
    • (2004) Astronomy and Astrophysics , vol.416 , pp. 9-17
    • Starck, J.-L.1    Aghanim, N.2    Forni, O.3
  • 403
    • 3142656055 scopus 로고    scopus 로고
    • Redundant multiscale transforms and their application for morphological component analysis
    • Starck, J.-L., Elad, M., and Donoho, D.: 2004b, Redundant multiscale transforms and their application for morphological component analysis, Advances in Imaging and Electron Physics 132, 288-348.
    • (2004) Advances in Imaging and Electron Physics , vol.132 , pp. 288-348
    • Starck, J.-L.1    Elad, M.2    Donoho, D.3
  • 404
    • 27744574209 scopus 로고    scopus 로고
    • Image decomposition via the combination of sparse representation and a variational approach
    • Starck, J.-L., Elad, M., and Donoho, D.: 2005a, Image decomposition via the combination of sparse representation and a variational approach, IEEE Transactions on Image Processing 14(10), 1570-1582.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.10 , pp. 1570-1582
    • Starck, J.-L.1    Elad, M.2    Donoho, D.3
  • 408
    • 13244274395 scopus 로고    scopus 로고
    • On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and sides
    • Steidl, G., Weickert, J., Brox, T., Mrázek, P., and Welk, M.: 2004, On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs, SIAM Journal on Numerical Analysis 42(2), 686-713.
    • (2004) SIAM Journal on Numerical Analysis , vol.42 , Issue.2 , pp. 686-713
    • Steidl, G.1    Weickert, J.2    Brox, T.3    Mrázek, P.4    Welk, M.5
  • 409
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • Stein, C.: 1981, Estimation of the mean of a multivariate normal distribution, Annals of Statistics 9, 1135-1151.
    • (1981) Annals of Statistics , vol.9 , pp. 1135-1151
    • Stein, C.1
  • 412
    • 0032388955 scopus 로고    scopus 로고
    • The lifting scheme: A construction of second generation wavelets
    • Sweldens, W.: 1997, The lifting scheme: A construction of second generation wavelets, SIAM Journal on Mathematical Analysis 29, 511-546.
    • (1997) SIAM Journal on Mathematical Analysis , vol.29 , pp. 511-546
    • Sweldens, W.1
  • 413
    • 0002885579 scopus 로고    scopus 로고
    • Building your own wavelets at home
    • ACM, Association for Computer Machinery, New York
    • Sweldens, W., and Schröder, P.: 1996, Building your own wavelets at home, in Wavelets in Computer Graphics, 15-87, ACM, Association for Computer Machinery, New York.
    • (1996) Wavelets in Computer Graphics , pp. 15-87
    • Sweldens, W.1    Schröder, P.2
  • 414
    • 15444377450 scopus 로고    scopus 로고
    • An icosahedron-based method for pixelizing the celestial sphere
    • Tegmark, M.: 1996, An icosahedron-based method for pixelizing the celestial sphere, Astro- physical Journal Letters 470, L81-L84.
    • (1996) Astro- Physical Journal Letters , vol.470 , pp. L81-L84
    • Tegmark, M.1
  • 416
    • 33751004125 scopus 로고    scopus 로고
    • Multi-frame representations in linear inverse problems with mixed multiconstraints
    • Teschke, G.: 2007, Multi-frame representations in linear inverse problems with mixed multiconstraints, Applied and Computational Harmonic Analysis 22(1), 43-60.
    • (2007) Applied and Computational Harmonic Analysis , vol.22 , Issue.1 , pp. 43-60
    • Teschke, G.1
  • 417
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani, R.: 1996, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society 58(1), 267-288.
    • (1996) Journal of the Royal Statistical Society , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 418
    • 0000043665 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method (english translation)
    • Tikhonov, A.: 1963, Solution of incorrectly formulated problems and the regularization method (English translation), Doklady Akademii Nauk SSSR 151, 501-504.
    • (1963) Doklady Akademii Nauk SSSR , vol.151 , pp. 501-504
    • Tikhonov, A.1
  • 419
    • 70349334053 scopus 로고    scopus 로고
    • Multiscale modeling and estimation of poisson processes with applications to photon-limited imaging
    • Timmermann, K. E., and Nowak, R.: 1999, Multiscale modeling and estimation of Poisson processes with applications to photon-limited imaging, IEEE Transactions on Signal Processing 46, 886-902.
    • (1999) IEEE Transactions on Signal Processing , vol.46 , pp. 886-902
    • Timmermann, K.E.1    Nowak, R.2
  • 420
    • 30844461481 scopus 로고    scopus 로고
    • Algorithms for simultaneous sparse approximation. Part ii: Convex relaxation
    • Tropp, J. A.: 2006, Algorithms for simultaneous sparse approximation. Part II: Convex relaxation, Signal Processing 86, 589-602.
    • (2006) Signal Processing , vol.86 , pp. 589-602
    • Tropp, J.A.1
  • 421
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from partial information via orthogonal matching pursuit
    • Tropp, J., and Gilbert, A.: 2007, Signal recovery from partial information via orthogonal matching pursuit, IEEE Transactions on Information Theory 53(12), 4655-4666.
    • (2007) IEEE Transactions on Information Theory , vol.53 , Issue.12 , pp. 4655-4666
    • Tropp, J.1    Gilbert, A.2
  • 422
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for subset selection and sparse approximation
    • Tropp, T.: 2006, Just relax: Convex programming methods for subset selection and sparse approximation, IEEE Transactions on Information Theory 52(3), 1030-1051.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.3 , pp. 1030-1051
    • Tropp, T.1
  • 423
    • 0026077016 scopus 로고
    • Applications of a splitting algorithm to decomposition in convex programming and variational inequalities
    • Tseng, P.: 1991, Applications of a splitting algorithm to decomposition in convex programming and variational inequalities, SIAM Journal on Control and Optimization 29(1), 119-138.
    • (1991) SIAM Journal on Control and Optimization , vol.29 , Issue.1 , pp. 119-138
    • Tseng, P.1
  • 424
    • 0033884548 scopus 로고    scopus 로고
    • A modified forward-backward splitting method for maximal monotone mappings
    • Tseng, P.: 2000, A modified forward-backward splitting method for maximal monotone mappings, SIAM Journal on Control and Optimization 38, 431-446.
    • (2000) SIAM Journal on Control and Optimization , vol.38 , pp. 431-446
    • Tseng, P.1
  • 425
    • 0035533631 scopus 로고    scopus 로고
    • Convergence of a block coordinate descent method for nondifferentiable minimizations
    • Tseng, P.: 2001, Convergence of a block coordinate descent method for nondifferentiable minimizations, Journal of Optimization Theory and Applications 109(3), 457-494.
    • (2001) Journal of Optimization Theory and Applications , vol.109 , Issue.3 , pp. 457-494
    • Tseng, P.1
  • 426
    • 0002999362 scopus 로고    scopus 로고
    • Splines: A perfect fit for signal and image processing
    • Unser, M.: 1999, Splines: A perfect fit for signal and image processing, IEEE Signal Processing Magazine 16(6), 22-38.
    • (1999) IEEE Signal Processing Magazine , vol.16 , Issue.6 , pp. 22-38
    • Unser, M.1
  • 432
    • 0347900511 scopus 로고    scopus 로고
    • Modeling textures with total variation minimization and oscillating patterns in image processing
    • Vese, L., and Osher, S.: 2003, Modeling textures with total variation minimization and oscillating patterns in image processing, Journal of Scientific Computing 19, 553-577.
    • (2003) Journal of Scientific Computing , vol.19 , pp. 553-577
    • Vese, L.1    Osher, S.2
  • 433
    • 0022694921 scopus 로고
    • Filter banks allowing perfect reconstruction
    • Vetterli, M.: 1986, Filter banks allowing perfect reconstruction, Signal Processing 10(3), 219-244.
    • (1986) Signal Processing , vol.10 , Issue.3 , pp. 219-244
    • Vetterli, M.1
  • 434
    • 3843101473 scopus 로고    scopus 로고
    • Detection of non-gaussianity in the wilkinson microwave anisotropy probe first-year data using spherical wavelets
    • Vielva, P., Martínez-González, E., Barreiro, R. B., Sanz, J. L., and Cayón, L.: 2004, Detection of non-Gaussianity in the Wilkinson microwave anisotropy probe first-year data using spherical wavelets, Astrophysical Journal 609, 22-34.
    • (2004) Astrophysical Journal , vol.609 , pp. 22-34
    • Vielva, P.1    Martínez-González, E.2    Barreiro, R.B.3    Sanz, J.L.4    Cayón, L.5
  • 436
    • 38149130641 scopus 로고    scopus 로고
    • Complex nonconvex lp norm minimization for underdetermined source separation
    • M. E. Davies, C. J. James, S. A. Abdallah, and M. D. Plumbley, Springer, New York
    • Vincent, E.: 2007, Complex nonconvex lp norm minimization for underdetermined source separation, in M. E. Davies, C. J. James, S. A. Abdallah, and M. D. Plumbley (eds.), Independent Component Analysis and Signal Separation, vol. 4666, Lecture Notes in Computer Science, 430-437, Springer, New York.
    • (2007) Independent Component Analysis and Signal Separation, Vol. 4666, Lecture Notes in Computer Science , pp. 430-437
    • Vincent, E.1
  • 437
    • 42149108994 scopus 로고    scopus 로고
    • A fast iterative thresholding algorithm for wavelet- regularized deconvolution
    • SPIE, Bellingham, WA
    • Vonesch, C., and Unser, M.: 2007, A fast iterative thresholding algorithm for wavelet- regularized deconvolution, Wavelets XII, SPIE, Bellingham, WA, 6701-13.
    • (2007) Wavelets XII , pp. 6701-6713
    • Vonesch, C.1    Unser, M.2
  • 438
    • 65749083666 scopus 로고    scopus 로고
    • Sharp thresholds for high-dimensional and noisy sparsity recovery using i1 -constrained quadratic programming (lasso)
    • 1 -constrained quadratic programming (lasso), IEEE Transactions on Information Theory 55(5), 2183-2202.
    • (2009) IEEE Transactions on Information Theory , vol.55 , Issue.5 , pp. 2183-2202
    • Wainwright, M.J.1
  • 439
    • 84925171232 scopus 로고    scopus 로고
    • Wavelab 802, Wavelab toolbox
    • Wavelab 802: 2001, Wavelab toolbox, http://www-stat.stanford.edu/∼wavelab.
    • (2001)
  • 441
    • 67651044298 scopus 로고    scopus 로고
    • Efficient schemes for total variation minimization under constraints in image processing
    • Weiss, P., Blanc-Féraud, L., and Aubert, G.: 2009, Efficient schemes for total variation minimization under constraints in image processing, SIAM Journal on Scientific Computing 31(3), 2047-2080.
    • (2009) SIAM Journal on Scientific Computing , vol.31 , Issue.3 , pp. 2047-2080
    • Weiss, P.1    Blanc-Féraud, L.2    Aubert, G.3
  • 443
    • 33845311147 scopus 로고    scopus 로고
    • Fast directional correlation on the sphere with steerable filters
    • Wiaux, Y., Jacques, L., Vielva, P., and Vandergheynst, P.: 2006, Fast directional correlation on the sphere with steerable filters, Astrophysical Journal 652, 820-832.
    • (2006) Astrophysical Journal , vol.652 , pp. 820-832
    • Wiaux, Y.1    Jacques, L.2    Vielva, P.3    Vandergheynst, P.4
  • 446
    • 0038321621 scopus 로고    scopus 로고
    • Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging
    • Willett, R. M., and Nowak, R. D.: 2003, Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging, IEEE Transactions on Medical Imaging 22(3), 332-350.
    • (2003) IEEE Transactions on Medical Imaging , vol.22 , Issue.3 , pp. 332-350
    • Willett, R.M.1    Nowak, R.D.2
  • 447
    • 65349084276 scopus 로고    scopus 로고
    • Multiscale poisson intensity and density estimation
    • Willett, R., and Nowak, R.: 2007, Multiscale Poisson intensity and density estimation, IEEE Transactions on Information Theory 53(9), 3171-3187.
    • (2007) IEEE Transactions on Information Theory , vol.53 , Issue.9 , pp. 3171-3187
    • Willett, R.1    Nowak, R.2
  • 449
    • 77956693893 scopus 로고    scopus 로고
    • The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
    • D. Butnariu, Y. Censor, and S. Reich, Elsevier, New York
    • Yamada, I.: 2001, The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings, in D. Butnariu, Y. Censor, and S. Reich (eds.), Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, 473-504, Elsevier, New York.
    • (2001) Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications , pp. 473-504
    • Yamada, I.1
  • 450
    • 0032351389 scopus 로고    scopus 로고
    • On measuring and correcting the effects of data mining and model selection
    • Ye, J.: 1998, On measuring and correcting the effects of data mining and model selection, Journal of the American Statistical Association 93, 120-131.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 120-131
    • Ye, J.1
  • 451
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algorithms for l1 minimization with applications to compressed sensing
    • Yin, W., Osher, S., Goldfarb, D., and Darbon, J.: 2008, Bregman iterative algorithms for l1 minimization with applications to compressed sensing, SIAM Journal on Imaging Sciences 1, 43-168.
    • (2008) SIAM Journal on Imaging Sciences , vol.1 , pp. 43-168
    • Yin, W.1    Osher, S.2    Goldfarb, D.3    Darbon, J.4
  • 453
    • 33845453474 scopus 로고    scopus 로고
    • 3d discrete curvelet transform
    • SPIE, Bellingham, WA
    • Ying, L., Demanet, L., and Candès, E.: 2005, 3D discrete curvelet transform, Wavelets XI, SPIE, Bellingham, WA, 351-361.
    • (2005) Wavelets XI , pp. 351-361
    • Ying, L.1    Demanet, L.2    Candès, E.3
  • 454
    • 64349110818 scopus 로고    scopus 로고
    • Audio denoising by time-frequency block thresholding
    • Yu, G., Mallat, S., and Bacry, E.: 2008, Audio denoising by time-frequency block thresholding, IEEE Transactions on Signal Processing 56(5), 1830-1839.
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.5 , pp. 1830-1839
    • Yu, G.1    Mallat, S.2    Bacry, E.3
  • 455
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • Yuan, M., and Lin, Y.: 2006, Model selection and estimation in regression with grouped variables, Journal of the Royal Statistical Society, Series B 68(1), 49-67.
    • (2006) Journal of the Royal Statistical Society, Series B , vol.68 , Issue.1 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 456
    • 44649103213 scopus 로고    scopus 로고
    • Fast poisson noise removal by biorthogonal haar domain hypothesis testing
    • Zhang, B., Fadili, M., and Starck, J.-L.: 2008a, Fast Poisson noise removal by biorthogonal Haar domain hypothesis testing, Statistical Methodology 5(4), 387-396.
    • (2008) Statistical Methodology , vol.5 , Issue.4 , pp. 387-396
    • Zhang, B.1    Fadili, M.2    Starck, J.-L.3
  • 457
  • 459
    • 3042722835 scopus 로고    scopus 로고
    • Blind source separation with relative newton method
    • NTT Communication Science Laboratories, Nara, Japan
    • Zibulevski, M.: 2003, Blind source separation with relative Newton method, in Proceedings of ICA, Independent Component Analysis, 2003, 897-902, NTT Communication Science Laboratories, Nara, Japan.
    • (2003) Proceedings of ICA, Independent Component Analysis, 2003 , pp. 897-902
    • Zibulevski, M.1
  • 460
    • 0000660321 scopus 로고    scopus 로고
    • Blind source separation by sparse decomposition in a signal dictionary
    • Zibulevsky, M., and Pearlmutter, B.: 2001, Blind source separation by sparse decomposition in a signal dictionary, Neural Computation 13, 863-882.
    • (2001) Neural Computation , vol.13 , pp. 863-882
    • Zibulevsky, M.1    Pearlmutter, B.2
  • 462
    • 34548536008 scopus 로고    scopus 로고
    • On the “degrees of freedom” of the lasso
    • Zou, H., Hastie, T., and Tibshirani, R.: 2007, On the “degrees of freedom” of the Lasso, Annals of Statistics 35, 2173-2192.
    • (2007) Annals of Statistics , vol.35 , pp. 2173-2192
    • Zou, H.1    Hastie, T.2    Tibshirani, R.3


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