Wavelets: Tools for Science and Technology / Edition 1

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Overview

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 Hölder 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.
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Editorial Reviews

Booknews
Three French mathematicians describe some of the tools of wavelet analysis, their application in processing certain signals and images, and their history. The origin of the book was a February 1991 lecture series at the Spanish Institute in Madrid by Yves Meyer, which was published by the Society in 1993 as . Efforts to translate and revise that publication revealed the depth of change in the field, and it became part of an enlarged study. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780898714487
  • Publisher: SIAM
  • Publication date: 4/1/2001
  • Edition description: Subsequent
  • Edition number: 1
  • Pages: 256
  • Product dimensions: 7.20 (w) x 10.10 (h) x 0.70 (d)

Table of Contents

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.
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  • Anonymous

    Posted July 10, 2002

    Great book for the beginner and advanced,alike

    Of the many recent books on wavelets, this one by Jaffard et al stands out. It communicates the main points in a clear and attractive way, and it stresses lucid presentation of ideas over formulas. The authors do not hide behind technicalities and mathematical jargon. And yet the mathematically sophisticated reader is paid his dues,-- in some cases via the appendices. At that point, the technical mathematical points have been well motivated. The emphasis of the book is the mathematics behind the many algorithms that emerged from the wavelet trends since the 1980ties. The book is rich in applications, many of which are not found elsewhere. The inclusion of motivation and historical remarks is also welcome.

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