Beta wavelets. Synthesis and application to lossy image compression

Advances in Engineering Software

Volumn 36, Issue 7, 2005, Pages 459-474

  Ben Amar, Chokri ^a   Zaied, Mourad ^a   Alimi, Adel ^a  

^a UNIVERSITY OF SFAX   (Tunisia)

Author keywords

Beta function; Image compression; Image processing; Mother wavelet; Wavelet

Indexed keywords

APPROXIMATION THEORY; FOURIER TRANSFORMS; FUNCTIONS; IMAGE ANALYSIS; IMAGE COMPRESSION; QUANTUM THEORY; WAVELET TRANSFORMS;

BETA FUNCTIONS; BETA WAVELETS; MOTHER WAVELET; WINDOWED FOURIER TRANSFORMS;

IMAGE PROCESSING;

EID: 18544373368     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2005.01.013     Document Type: Conference Paper

References (29)

1. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies Image coding using wavelet transform IEEE Trans Image Process 1 2 1992 205 220
2. Bellil W, Ben Amar C, Alimi MA. Beta wavelet based image compression, international conference on signal, System and Design, SSD03, Tunisia, Mars, 2003, vol. 1, p. 77-82.
3. Bellil W, Ben Amar C, Zaied M, Alimi MA. La fonction Bêta et ses dérivées: vers une nouvelle famille d'ondelettes, First international conference on signal, system and design, SCS'04, Tunisia, Mars, vol. 1, p. 201-7.
4. Bourges-Sévenier M. Realization of a C bibliotheque of function wavelet, Publication interne No. 864, IRISA Reindeer; 1994.
5. C.S. Burrus, R.A. Gopinath, and H. Guo Introduction to wavelets and wavelet transforms, a primer 1998 Prentice Hall Upper Saddle River, NJ (USA)
6. Bruns A. Fourier-, Hilbert- and wavelet-based signal analysis: are they really different approaches? Neurophysics Group, Physics Department, Philipps University, Renthof 7, D-35032 Marburg, Germany; 2004.
7. A. Cohen, I. Daubechies, and J.C. Fauveau Biorthogonal bases of compactly supported wavelets Commun Pure Appl Math 45 1992 485 560
8. A.R. Calderbank, I. Daubechies, W. Sweldens, and B.-L. Yeo Wavelet transforms that map integers to integers Appl Comput Harmonic Anal 5 3 1998 332 369
9. I. Daubechies The wavelet transform, time-frequency localization and signal analysis IEEE Trans Inf Theory 36 1990 961 1005
10. I. Daubechie Ten lectures on wavelets 1992 SIAM Philadelphia, PA [p. 357]
11. A. Grossmann, and J. Morlet Decomposition of hardy functions into square integrable wavelets of constant shape SIAM J Math Anal 15 4 1984 723 736
12. F.J. Harris On the use of windows for harmonic analysis with the discrete Fourier transform Proc IEEE 66 1978 51 83
13. G. Kaiser A Friendly guide to wavelets 1994 Birkhäuser Boston
14. T.W. Körner Fourier analysis 1996 Cambridge University Press Cambridge, UK
15. S.G. Mallat A theory for multiresolution signal decomposition: the wavelet representation IEEE Trans Pattern Anal Machine Intell 11 7 1989 674 693
16. S. Mallat A Wavelet tour of signal processing 2nd ed. 1999 Academic Press London [ISBN: 0-12-466606-X]
17. Y. Meyer Ondelettes et opérateurs. I, Actualités mathématiques, [current mathematical topics] 1990 Hermann Paris
18. Y. Meyer Ondelettes et opérateurs. II, Actualités mathématiques, [current mathematical topics] 1990 Hermann Paris
19. Y. Meyer Ondelettes et opérateurs. III, Actualités Mathématiques, [current mathematical topics] 1990 Hermann Paris
20. Y. Meyer Wavelets and operators, volume 37 of Cambridge studies in advanced mathematics 1992 Cambridge University Press Cambridge
21. M. Misiti, Y. Misiti, G. Oppenheim, and J. Poggi Matlab Wavelet toolbox 2000 The mathworks Inc.
22. D.S.G. Pollock, and D.S. Pollock Time series, analysis signal processing and dynamics Bk&CD-Rom ed 1999 Academic Press London [ISBN: 0125609906]
23. Samet A, Ben Amar C, Alimi MA. Ondelettes, paquets d'ondelettes et réseaux d'ondelettes pour la compression d'images, Proc Journées des jeunes chercheurs en Génie Electrique et Informatique, GEI′2003, Tunisia, Mars, vol. 2, p. 108-12.
24. Y. Sheng Wavelet transform A.D. Poularikas The transforms and applications handbook The electrical engineering handbook series 1996 CRC Press Boca Raton, FL (USA) 747 827
25. C. Torrence, and G.P. Compo A practical guide to wavelet analysis Bull Am Meteor Soc 79 1 1998 61 78
26. M. Vetterli, and C. Herley Wavelets and filter banks: theory and design IEEE Trans Signal Processing 40 9 1992 2207 2232
27. M. Vetterli, and J. Kovacevic Wavelets and subband coding 1995 Prentice Hall Englewood Cliffs, NJ
28. J.S. Walker A primer on wavelets and their scientific applications 1999 Chapman and Hall Boca Raton, FL
29. Zaied M, Ben Amar C, Alimi MA. Award a new wavelet based Beta function, International conference on signal, system and design, SSD03, Tunisia, Mars, 2003, vol. 1, p. 185-91.