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Wavelets and Their Applications

  • Book
  • © 1994

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Editors:
  1. J. S. Byrnes

    1. Prometheus Inc., Newport, USA
      University of Massachusetts, Boston, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Jennifer L. Byrnes

    1. Harvard University, Cambridge, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Kathryn A. Hargreaves

    1. University of Massachusetts, Boston, USA

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    You can also search for this editor in PubMed   Google Scholar

  4. Karl Berry

    1. University of Massachusetts, Boston, USA
      Interleaf, Cambridge, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 442)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. From a wavelet auditory model to definitions of the Fourier transform

    • John J. Benedetto
    Pages 1-17

  3. Some stability properties of wavelets and scaling functions

    • Christopher Heil
    Pages 19-38

  4. Convergence: Fourier series vs. wavelet expansions

    • Susan E. Kelly, Mark A. Kon, Louise Arakelian Raphael
    Pages 39-49

  5. Regularity analysis of functions and random processes using wavelets

    • Stéphane Jaffard
    Pages 51-82

  6. The generalized modulus of continuity and wavelets

    • Harold S. Shapiro
    Pages 83-93

  7. Approximate frames and the narrowband multitarget radar problem

    • Louis Auslander, Frank Geshwind
    Pages 95-120

  8. Time-scale analyses and self-similar stochastic processes

    • Patrick Flandrin
    Pages 121-142

  9. Multiscale statistical modeling: isotropic processes on a homogeneous tree

    • B. Claus
    Pages 143-168

  10. A wavelet-type approach to image analysis and vision

    • Joseph Segman, Yehoshua Y. Zeevi
    Pages 169-212

  11. Analog VLSI network models, cortical linking neural network models, and quantum holographic neural technology

    • Walter Schempp, Joseph Segman
    Pages 213-260

  12. Clifford wavelets, Hardy spaces, and elliptic boundary value problems

    • Björn Jawerth, Marius Mitrea
    Pages 261-290

  13. Wavelet transforms and downward continuation

    • Ronan Le Bras, George Mellman
    Pages 291-296

  14. Bilinear time-frequency distributions

    • A. J. E. M. Janssen
    Pages 297-311

  15. Time-frequency localization operators of Cohen’s class

    • Jayakumar Ramanathan, Pankaj Topiwala
    Pages 313-324

  16. Some remarks about the scalograms of wavelet transform coefficients

    • Serge Collineau
    Pages 325-329

  17. Problems in Gabor representation

    • Richard Tolimieri
    Pages 331-346

  18. On the extension of the Heisenberg group to incorporate multiscale resolution

    • Joseph Segman, Walter Schempp
    Pages 347-361

  19. Signal processing and compression with wavelet packets

    • Ronald R. Coifman, Yves Meyer, Steven Quake, M. Victor Wickerhauser
    Pages 363-379

  20. Texture analysis with Hermite basic elementary functions

    • Izidor Gertner, George A. Geri, Byron Pierce
    Pages 381-393
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About this book

It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu­ ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.

Editors and Affiliations

  • Prometheus Inc., Newport, USA

    J. S. Byrnes

  • University of Massachusetts, Boston, USA

    J. S. Byrnes, Kathryn A. Hargreaves, Karl Berry

  • Harvard University, Cambridge, USA

    Jennifer L. Byrnes

  • Interleaf, Cambridge, USA

    Karl Berry

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