LOSSY IMAGE COMPRESSION USING A THREE STEP NONLINEAR WAVELET
The wavelet transform is a powerful and complex tool in the context of data compression. The discovery of the lifting schemes
structure make à wavelet filters simple, rapid and reversible. The compression field is an open research area. In recent years, a
significant development has experienced leading to the emergence of a large number of applications. This work aims to study
some adaptive nonlinear wavelet -developed recently- based on three nonlinear steps. These transforms are applied in lossy
image compression; in our work, we used a bit allocation algorithm and scalar quantization.
 N.Terki, N.Doghmane and A. Terki "bit
allocation algorithm for wavelet image
compression ", IEEE, international symposium
on intelligent control Vancouver, Canada,
October 27-30, 2002.
 S. Grgic , M. Grgic, M. Mrak, Reliability of Objective
Picture Quality Measures, Journal of Electrical
Engineering, Vol. 55, No. 1-2,pp.3-10, 2004 G. Piella, B. Pesquet-Popescu, and H. J. A. M.
Heijmans, “Adaptive update lifting with a decision
rule based on derivative filters,” IEEE Signal
Processing Letters, vol. 9, no. 10, pp.329–332,
 G. Piella, G. Pau, and B. Pesquet-Popescu. Adaptive
lifting schemes combining seminorms for lossless
image compression. In Proc. of the IEEE Int. Conf. on
Image Processing, Gênes, Italie, Septembre 2005.
 G. Piella, B. Pesquet-Popescu, a three-step nonlinear
lifting scheme for lossless image compression. IEEE
Signal Processing Letters, 2007.
 H. J. A. M. Heijmans, B. Pesquet-Popescu, and G.
Piella, “Building non redundant adaptive wavelets by
update lifting”, Applied and Computational Harmonic
Analysis, Vol. 18, pp. 252–281, May 2005
 H. J. A. M. Heijmans G. Piella, B. Pesquet-Popescu
and G. Pau, “Combining semi norms in adaptive
lifting schemes and applications to image analysis and
compression,” Journal of Mathematical Imaging and
Vision, vol. 25, no. 2, pp. 203–226, September 2006.
 H .Charles and all "wavelet brass boards fir live
video via ratio", journal of electronic imaging,
October 199, vol7 (4).