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Wavelets

Wavelets
Tools for Science and Technology

  • Date Published: January 2001
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898714487

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  • 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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    Product details

    • Date Published: January 2001
    • format: Hardback
    • isbn: 9780898714487
    • length: 270 pages
    • dimensions: 260 x 183 x 17 mm
    • weight: 0.633kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • 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.

  • Authors

    Stéphane Jaffard, Université de Paris XII

    Yves Meyer, Ecole Normale Supérieure, Paris

    Robert D. Ryan

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