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Different Perspectives on Wavelets
Edited by: Ingrid Daubechies, Princeton University, NJ
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Proceedings of Symposia in Applied Mathematics
1993; 205 pp; softcover
Volume: 47
Reprint/Revision History:
reprinted 1995
ISBN-10: 0-8218-5503-4
ISBN-13: 978-0-8218-5503-4
List Price: US$42
Member Price: US$33.60
Order Code: PSAPM/47
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The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of "building blocks" to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different "sizes" which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Readership

Graduate students and researchers looking for an excellent introduction to wavelets.

Reviews

"A volume in a very distinguished AMS book series ... A landmark in the subject ... serves as an invitation to these exciting and related sub areas of math ... A clear and very readable presentation of key wavelet ideas ... modern substantial real life applications ... Each chapter can be read by beginners yet the reader is quickly led to the heart of the matter."

-- Palle Jorgensen

Table of Contents

  • I. Daubechies -- Wavelet transforms and orthonormal wavelet bases
  • Y. Meyer -- Wavelets and operators
  • P. G. Lemarié-Rieusset -- Projection operators in multiresolution analysis
  • P. Tchamitchian -- Wavelets and differential operators
  • G. Beylkin -- Wavelets and fast numerical algorithms
  • R. R. Coifman and M. V. Wickerhauser -- Wavelets and adapted waveform analysis. A toolkit for signal processing and numerical analysis
  • M. V. Wickerhauser -- Best-adapted wavelet packet bases
  • D. L. Donoho -- Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data
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