Wavelets and their Applications

The last fifteen years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. Wavelets and their Applications is intended for the wide audience that is interested in mastering the basic techniques, such as decomposition and compression. 1. A Guided Tour. 2. Mathematical Framework. 3. From Wavelet Bases to the Fast Algorithm. 4. Wavelet Families. 5. Finding and Designing ones’ own Wavelet. 6. A Short 1D Illustrated Handbook. 7. Signal Denoising and Compression. 8. Image Processing with Wavelets. 9. A Survey of Applications. Appendix (The EZW Algorithm) Michel Misiti, Georges Oppenheim, and Jean-Michel Poggi, members of the Laboratoire de Mathématiques at Paris 11 University, France, are mathematics Professors at Ecole Centrale de Lyon, University of Marne-La-Vallée and Paris 5 University, France. Yves Misiti is a research engineer specializing in computer sciences at Paris 11 University, France. Their fields of interest are statistical signal processing, stochastic processes, adaptive control, and wavelets. The authors' group has published numerous theoretical papers and carried out applications in close collaboration with industrial teams.