M. Kaaniche, A. Fraysse, B. Pesquet-popescu, and J. Pesquet, A convex programming bit allocation method for sparse sources, 2012 Picture Coding Symposium, pp.277-280, 2012.
DOI : 10.1109/PCS.2012.6213346

URL : https://hal.archives-ouvertes.fr/hal-00734456

P. Westerink, J. Biemond, and D. Boekee, An optimal bit allocation algorithm for sub-band coding, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, pp.757-760, 1988.
DOI : 10.1109/ICASSP.1988.196695

A. Ortega and K. Ramchandran, Rate-distortion methods for image and video compression, IEEE Signal Processing Magazine, vol.15, issue.6, pp.23-50, 1998.
DOI : 10.1109/79.733495

Y. Shoham and A. Gersho, Efficient codebook allocation for an arbitrary set of vector quantizers, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.1696-1699, 1985.
DOI : 10.1109/ICASSP.1985.1168189

S. Wu and A. Gersho, Rate-constrained optimal block-adaptive coding for digital tape recording of HDTV, IEEE Transactions on Circuits and Systems for Video Technology, pp.100-112, 1991.
DOI : 10.1109/TCSVT.1991.4519809

K. Ramchandran, A. Ortega, and M. Vetterli, Bit allocation for dependent quantization with applications to multiresolution and MPEG video coders, IEEE Transactions on Image Processing, vol.3, issue.5, pp.533-545, 1994.
DOI : 10.1109/83.334987

G. M. Schuster and A. K. Katsaggelos, Rate-Distortion based video compression: optimal video frame compression and object boundary encoding, 1997.
DOI : 10.1007/978-1-4757-2566-7

A. Ortega, K. Ramchandran, and M. Vetterli, Optimal trellis-based buffered compression and fast approximations, IEEE Transactions on Image Processing, vol.3, issue.1, pp.26-40, 1994.
DOI : 10.1109/83.265978

URL : http://infoscience.epfl.ch/record/33892

E. A. Riskin, Optimal bit allocation via the generalized BFOS algorithm, IEEE Transactions on Information Theory, vol.37, issue.2, pp.400-402, 1991.
DOI : 10.1109/18.75264

K. Ferguson and N. Allinson, Modified Steepest-Descent for Bit Allocation in Strongly Dependent Video Coding, IEEE Transactions on Circuits and Systems for Video Technology, pp.1057-1062, 2009.
DOI : 10.1109/TCSVT.2009.2020339

Y. Sermadevi and S. S. Hemami, Convexity results for a predictive video coder, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004., pp.1713-1717, 2004.
DOI : 10.1109/ACSSC.2004.1399452

T. André, M. Cagnazzo, M. Antonini, and M. Barlaud, JPEG2000- compatible scalable scheme for wavelet-based video coding, EURASIP Journal on Image and Video Processing, p.11, 2007.

P. Noll and R. Zelinski, Bounds on Quantizer Performance in the Low Bit-Rate Region, IEEE Transactions on Communications, vol.26, issue.2, pp.300-304, 1978.
DOI : 10.1109/TCOM.1978.1094051

N. Farvardin and J. W. Modestino, Optimum quantizer performance for a class of non-Gaussian memoryless sources, IEEE Transactions on Information Theory, vol.30, issue.3, pp.485-497, 1984.
DOI : 10.1109/TIT.1984.1056920

A. György, T. Linder, and K. Zeger, On the rate-distortion function of random vectors and stationary sources with mixed distributions, IEEE Transactions on Information Theory, vol.45, issue.6, pp.2110-2115, 1999.
DOI : 10.1109/18.782151

T. André, M. Antonini, M. Barlaud, and R. Gray, Entropy-Based Distortion Measure and Bit Allocation for Wavelet Image Compression, IEEE Transactions on Image Processing, vol.16, issue.12, pp.3058-3064, 2007.
DOI : 10.1109/TIP.2007.909408

G. Sullivan, Efficient scalar quantization of exponential and Laplacian random variables, IEEE Transactions on Information Theory, vol.42, issue.5, pp.1365-1374, 1996.
DOI : 10.1109/18.532878

D. Marco and D. Neuhoff, Low-resolution scalar quantization for Gaussian sources and squared error, IEEE Transactions on Information Theory, vol.52, issue.4, pp.1689-1697, 2006.
DOI : 10.1109/TIT.2006.871610

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

J. Sun, W. Gao, D. Zhao, and Q. Huang, Statistical model, analysis and approximation of rate-distortion function in MPEG-4 FGS videos, Visual Communications and Image Processing 2005, pp.535-539, 2006.
DOI : 10.1117/12.633361

M. Wang, M. Van-der, and . Schaar, Operational rate-distortion modeling for wavelet video coders, IEEE Transactions on Signal Processing, vol.54, issue.9, pp.3505-3517, 2006.
DOI : 10.1109/TSP.2006.879273

M. Gaubatz and S. Hemami, Efficient Entropy Estimation Based on Doubly Stochastic Models for Quantized Wavelet Image Data, IEEE Transactions on Image Processing, vol.16, issue.4, pp.967-981, 2007.
DOI : 10.1109/TIP.2007.891784

H. Gish and J. Pierce, Asymptotically efficient quantizing, IEEE Transactions on Information Theory, vol.14, issue.5, pp.676-683, 1968.
DOI : 10.1109/TIT.1968.1054193

G. J. Sullivan and T. Wiegand, Rate-distortion optimization for video compression, IEEE Signal Processing Magazine, vol.15, issue.6, pp.74-90, 1998.
DOI : 10.1109/79.733497

G. J. Peng and W. L. Whang, Interlayer Bit Allocation for Scalable Video Coding, IEEE Transactions on Image Processing, vol.21, issue.5, pp.2592-2606, 2012.
DOI : 10.1109/TIP.2011.2177990

F. Abramovitch, T. Sapatinas, and B. Silverman, Wavelet thresholding via a Bayesian approach, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.4, pp.725-749, 1998.
DOI : 10.1111/1467-9868.00151

A. Antoniadis, D. Leporini, and J. Pesquet, Wavelet thresholding for some classes of non-Gaussian noise, Statistica Neerlandica, vol.93, issue.4, pp.434-453, 2002.
DOI : 10.1016/0167-9473(95)00041-0

URL : https://hal.archives-ouvertes.fr/hal-00621806

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

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

A. Fraysse, B. P. Popescu, and J. Pesquet, On the Uniform Quantization of a Class of Sparse Sources, IEEE Transactions on Information Theory, vol.55, issue.7, pp.3243-3263, 2009.
DOI : 10.1109/TIT.2009.2021329

URL : https://hal.archives-ouvertes.fr/hal-00555301

W. Szepanski, ??-entropy and rate distortion bounds for generalised Gaussian information sources and their applications to image signals, Electronics Letters, vol.16, issue.3, pp.109-111, 1980.
DOI : 10.1049/el:19800083

A. Gersho and R. Gray, Vector Quantization and Signal Compression, 1992.
DOI : 10.1007/978-1-4615-3626-0

D. Taubman, High performance scalable image compression with EBCOT, IEEE Transactions on Image Processing, vol.9, issue.7, pp.1158-1170, 2000.
DOI : 10.1109/83.847830

T. Berger, Rate-Distortion Theory, 1971.
DOI : 10.1002/0471219282.eot142

M. Rabbani and R. R. Joshi, An overview of the JPEG 2000 still image compression standard, Signal processing: Image communication, pp.3-48, 2002.
DOI : 10.1016/S0923-5965(01)00024-8

B. Usevitch, Optimal bit allocation for biorthogonal wavelet coding, Proceedings of Data Compression Conference, DCC '96, pp.387-395, 1996.
DOI : 10.1109/DCC.1996.488344

T. N. Pappas and R. J. Safranek, Perceptual Criteria for Image Quality Evaluation, Handbook of Image and Video Processing, pp.669-684, 2000.
DOI : 10.1016/B978-012119792-6/50118-2

W. Gautschi, The incomplete Gamma functions since Tricomi, " in Tricomi's ideas and contemporary applied mathematics, Atti dei Convegni Lincei, Accademia Nazionale dei Lincei, issue.147, pp.203-237, 1998.

S. Parrilli, M. Cagnazzo, and B. Pesquet-popescu, Distortion evaluation in transform domain for adaptive lifting schemes, 2008 IEEE 10th Workshop on Multimedia Signal Processing, 2008.
DOI : 10.1109/MMSP.2008.4665075

I. M. Chakravarti, R. G. Laha, and J. Roy, Handbook of methods of applied statistics, 1967.

G. Bjontegaard, Calculation of average PSNR differences between RD curves, ITU SG16 VCEG-M33, 2001.

C. Tian and S. S. Hemami, An embedded image coding system based on tarp filter with classification, IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.49-52, 2004.

T. Cover and J. A. Thomas, Elements of Information Theory, 1991.

L. S. Gradshteyn and L. M. Ryzhik, Tables of Integrals, Series and Products, 2000.

R. Rockafellar, . Table, . The, . Psnr, . Differences et al., Convex analysis, Princeton Landmarks in Mathematics, vol.12, 1997.
DOI : 10.1515/9781400873173