WAVELETS

ISBN-13: 9780898714487 / Angielski

Stephane Jaffard; Yves Meyer

Opis

This long-awaited update of Meyer's Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Holder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere."

Spis treści

Preface to Revised Edition; Preface from the First Edition; 1. Signals and Wavelets; 2. Wavelets from a Historical Perspective; 3. Quadrature Mirror Filters; 4. Pyramid Algorithms for Numerical Image Processing; 5. Time-Frequency Analysis for Signal Processing; 6. Time-Frequency Algorithms Using Malvar-Wilson Wavelets; 7. Time-Frequency Analysis and Wavelet Packets; 8. Computer Vision and Human Vision; 9. Wavelets and Turbulence; 10. Wavelets and Multifractal Functions; 11. Data Compression and Restoration of Noisy Images; 12. Wavelets and Astronomy; Appendix A. Filter Fundamentals; Appendix B. Wavelet Transforms; Appendix C. A Counterexample; Appendix D. Hölder Spaces and Besov Spaces; Bibliography; Author Index; Subject Index.