]. F. Abramovitch and T. Sapatinas, Bayesian inference in wavelet based methods, chapter Bayesian denoising of visual images in the wavelet domain, Bibliography, issue.1, 1999.

M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, Image coding using wavelet transform, IEEE Transactions on Image Processing, vol.1, issue.2, 1992.
DOI : 10.1109/83.136597
URL : https://hal.archives-ouvertes.fr/hal-01322224

G. Aubert and L. Vese, A Variational Method in Image Recovery, SIAM Journal on Numerical Analysis, vol.34, issue.5, pp.1948-1979, 1997.
DOI : 10.1137/S003614299529230X

M. Belge and E. Miller, Wavelet domain image restoration using edge preserving prior models, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), 1998.
DOI : 10.1109/ICIP.1998.723326

J. Bernardo and A. Smith, Bayesian Theory, 1994.
DOI : 10.1002/9780470316870

A. Bijaoui, J. Starck, and F. Murtagh, Multiresolution support applied to image filtering and restoration, Comp. Vision, Graphics and Image Proc. A, 1995.

B. Chalmond, Image restoration using an estimated Markov model, Signal Processing, vol.15, issue.2, pp.115-129, 1988.
DOI : 10.1016/0165-1684(88)90065-5

S. G. Chang and M. Vetterli, Spatial adaptive wavelet thresholding for image denoising, Proceedings of International Conference on Image Processing, 1997.
DOI : 10.1109/ICIP.1997.638782

P. Charbonnier, Reconstruction d'image : régularisation avec prise en compte de discontinuités, 1994.

P. Charbonnier, L. Blanc-féraud, G. Aubert, and M. Barlaud, Deterministic edge-preserving regularization in computed imaging, IEEE Transactions on Image Processing, vol.6, issue.2, pp.298-311, 1997.
DOI : 10.1109/83.551699

A. Cohen, I. Daubechies, and J. Feauveau, Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.10, issue.5, pp.485-560, 1992.
DOI : 10.1002/cpa.3160450502

R. Coifman and D. Donoho, Translation-Invariant De-Noising, 1995.
DOI : 10.1007/978-1-4612-2544-7_9

R. Coifman, Y. Meyer, and M. Wickerhauser, Wavelet Analysis and Signal Processing, pp.153-178, 1992.
DOI : 10.1007/978-1-4684-6393-4_5

I. Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Transactions on Information Theory, vol.36, issue.5, pp.961-1005, 1990.
DOI : 10.1109/18.57199

G. Demoment, Image reconstruction and restoration: overview of common estimation structures and problems, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.12, pp.2024-2036, 1989.
DOI : 10.1109/29.45551

D. Donoho, De-noising by soft-thresholding, IEEE Transactions on Information Theory, vol.41, issue.3, pp.613-627, 1995.
DOI : 10.1109/18.382009

D. Donoho and I. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1994.
DOI : 10.1093/biomet/81.3.425
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.5288

D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Picard, Wavelet shrinkage: asymptopia, J. Roy. Stat. Soc., B, vol.57, issue.2, pp.301-369, 1995.

M. Figueiredo and R. Nowak, <title>Bayesian wavelet-based image estimation using noninformative priors</title>, Mathematical Modeling, Bayesian Estimation, and Inverse Problems, 1999.
DOI : 10.1117/12.351304

D. Geman and G. Reynolds, Constrained restoration and the recovery of discontinuities, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.3, pp.367-383, 1992.
DOI : 10.1109/34.120331

S. Geman and D. Geman, Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images, IEEE Trans. on PAMI, vol.6, issue.6, pp.721-741, 1984.

C. Graffigne, F. Heitz, P. Perez, F. Prêteux, M. Sigelle et al., <title>Hierarchical Markov random field models applied to image analysis: a review</title>, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, 1995.
DOI : 10.1117/12.216341

C. W. Helstrom, Image Restoration by the Method of Least Squares, Journal of the Optical Society of America, vol.57, issue.3, 1967.
DOI : 10.1364/JOSA.57.000297

A. K. Jain, A Sinusoidal Family of Unitary Transforms, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.1, issue.4, pp.356-365, 1979.
DOI : 10.1109/TPAMI.1979.4766944

A. Jalobeanu, L. Blanc-féraud, and J. Zerubia, Estimation d'hyperparamètres pour la restauration d'images satellitaires par une méthode MCMCML, INRIA Research Report, vol.3469, 1998.

A. Jalobeanu, L. Blanc-féraud, and J. Zerubia, Hyperparameter Estimation for Satellite Image Restoration by a MCMCML Method, Springer, editor, 1999.
DOI : 10.1007/3-540-48432-9_9

A. Jalobeanu, L. Blanc-féraud, and J. Zerubia, Restauration automatique d'images satellitaires par une méthode MCMC, In GRETSI, 1999.

A. Jalobeanu, L. Blanc-féraud, and J. Zerubia, Estimation of adaptive parameters for satellite image deconvolution, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2000.
DOI : 10.1109/ICPR.2000.903549

J. Kalifa, Restauration minimax et déconvolution dans une base d'ondelettes miroirs, 1999.

J. Kalifa and S. Mallat, Restauration d'images par paquets d'ondelettes, GRETSI, 1997.

J. Kalifa, S. Mallat, C. , and E. Polytechnique, Wavelet packet deconvolutions, 1998.

J. Kalifa and S. Mallat, Bayesian inference in wavelet based methods, chapter Minimax restoration and deconvolution, 1999.

N. Kingsbury, The dual-tree complex wavelet transform: a new efficient tool for image restoration and enhancement, EUSIPCO, pp.319-322, 1998.

N. Kingsbury, The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters, 8th IEEE DSP Workshop, 1998.

N. Kingsbury, Image processing with complex wavelets, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2543-2560, 1999.
DOI : 10.1098/rsta.1999.0447

M. Malfait and D. Roose, Wavelet-based image denoising using a Markov random field a priori model, IEEE Transactions on Image Processing, vol.6, issue.4, pp.549-565, 1997.
DOI : 10.1109/83.563320

S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.7, pp.674-693, 1989.
DOI : 10.1109/34.192463

S. Mallat, A Wavelet tour of signal processing, 1998.

P. Moulin, A wavelet regularization method for diffuse radar-target imaging and speckle-noise reduction, Journal of Mathematical Imaging and Vision, vol.38, issue.1, pp.123-134, 1993.
DOI : 10.1007/BF01248407

P. Moulin and J. Liu, Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors, IEEE Transactions on Information Theory, vol.45, issue.3, pp.909-919, 1999.
DOI : 10.1109/18.761332

C. Robert, Méthodes de Monte Carlo par chaînes de Markov. Statistique mathématique et probabilité, Economica, 1996.

E. Simoncelli, Bayesian inference in wavelet based methods, chapter Bayesian denoising of visual images in the wavelet domain, 1999.

A. N. Tikhonov, Regularization of incorrectly posed problems, Sov. Math. Dokl, vol.4, pp.1624-1627, 1963.

M. Vetterli, Filter banks allowing perfect reconstruction, Signal Processing, vol.10, issue.3, pp.219-244, 1986.
DOI : 10.1016/0165-1684(86)90101-5

M. Vetterli and J. Kovacevic, Wavelets and subband coding, 1995.

M. Wickerhauser, Adapted wavelet analysis from theory to software AK Peters INRIA 2004, route des Lucioles -B.P. 93 -06902 Sophia Antipolis Cedex (France) Unité de recherche INRIA Lorraine : Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -B.P. 101 -54602 Villers lès Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38330, France) Unité de recherche INRIA Rocquencourt : Domaine de Voluceau -Rocquencourt -B.P. 105 -78153 Le Chesnay Cedex, 1994.

I. De-voluceau-rocquencourt and B. P. , 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399