Fundamental Papers in Wavelet Theory
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Christopher Heil
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Preface by:
Ingrid Daubechies
About this book
This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction.
This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German.
Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
Author / Editor information
Reviews
"An important and welcome book, containing a striking range of papers. The introduction by John Benedetto is a delight."—Steve Krantz, Washington University
"An excellent book. This is a first-class reference for the history of wavelets. "—Gilbert Strang, Massachusetts Institute of Technology
Topics
Publicly Available Download PDF |
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Publicly Available Download PDF |
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Requires Authentication Unlicensed Licensed |
ix |
Christopher Heil and David Walnut Requires Authentication Unlicensed Licensed |
xiii |
Ingrid Daubechies Requires Authentication Unlicensed Licensed |
xv |
John J. Benedetto Requires Authentication Unlicensed Licensed |
1 |
Section I. Precursors in Signal Processing
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Jelena Kovačević Requires Authentication Unlicensed Licensed |
23 |
Peter J. Burt and EDWARD H. ADELSON Requires Authentication Unlicensed Licensed |
28 |
R. E. Crochiere, S. A. Webber and J . L. Flanagan Requires Authentication Unlicensed Licensed |
37 |
D. Esteban and C. Galand Requires Authentication Unlicensed Licensed |
54 |
M.J.T. Smith and T. P. Barnwell Requires Authentication Unlicensed Licensed |
59 |
Fred Mintzer Requires Authentication Unlicensed Licensed |
63 |
Martin VETIERLI Requires Authentication Unlicensed Licensed |
68 |
P Vaidyanathan Requires Authentication Unlicensed Licensed |
94 |
SECTION II. Precursors in Physics: Affine Coherent States
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Jean-Pierre Antoine Requires Authentication Unlicensed Licensed |
113 |
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117 |
A. Grossmann and J. Morlet Requires Authentication Unlicensed Licensed |
126 |
A. Grossmann, J. Morlet and T. Paul Requires Authentication Unlicensed Licensed |
140 |
Section III. Precursors in Mathematics: Early Wavelet Bases
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Hans G. Feichtinger Requires Authentication Unlicensed Licensed |
149 |
Alfred Haar and Georg Zimmermann Requires Authentication Unlicensed Licensed |
155 |
Philip Franklin Requires Authentication Unlicensed Licensed |
189 |
Jan-Olov Strömberg Requires Authentication Unlicensed Licensed |
197 |
Yves Meyer Requires Authentication Unlicensed Licensed |
216 |
P. G. Lemarié and Y. Meyer Requires Authentication Unlicensed Licensed |
229 |
Guy Battle Requires Authentication Unlicensed Licensed |
245 |
Requires Authentication Unlicensed Licensed |
261 |
Yves Meyer Requires Authentication Unlicensed Licensed |
263 |
Requires Authentication Unlicensed Licensed |
269 |
Ronald R. Coifman and Guido Weiss Requires Authentication Unlicensed Licensed |
295 |
Ingrid Daubechies, A. Grossmann and Y. Meyer Requires Authentication Unlicensed Licensed |
372 |
Michael Frazier and Björn Ja Werth Requires Authentication Unlicensed Licensed |
385 |
Hans G. Feichtinger and K. H. Gröchenig Requires Authentication Unlicensed Licensed |
408 |
Ingrid Daubechies Requires Authentication Unlicensed Licensed |
442 |
Section V. Multiresolution Analysis
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Guido Weiss Requires Authentication Unlicensed Licensed |
489 |
Stephane G. Mallat Requires Authentication Unlicensed Licensed |
494 |
Yves Meyer Requires Authentication Unlicensed Licensed |
514 |
Stephane G. Mallat Requires Authentication Unlicensed Licensed |
524 |
A. Cohen and Robert D. Ryan Requires Authentication Unlicensed Licensed |
543 |
Wayne M. Lawton Requires Authentication Unlicensed Licensed |
560 |
Ingrid Daubechles Requires Authentication Unlicensed Licensed |
564 |
SECTION VI. Multidimensional Wavelets
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Guido Weiss Requires Authentication Unlicensed Licensed |
655 |
Yves Meyer and John Horváth Requires Authentication Unlicensed Licensed |
659 |
Karlheinz Gröchenig and Robert D. Ryan Requires Authentication Unlicensed Licensed |
690 |
Jelena Kovácević and Martin Vetterli Requires Authentication Unlicensed Licensed |
694 |
K. Gröchenig and W. R. Madych Requires Authentication Unlicensed Licensed |
717 |
SECTION VII. Selected Applications
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Mladen Victor Wickerhauser Requires Authentication Unlicensed Licensed |
733 |
G. Beylkin, R. Coifman and V. Rokhlin Requires Authentication Unlicensed Licensed |
741 |
Ronald A. DeVore, Björn Jawerth and Vasil Popov Requires Authentication Unlicensed Licensed |
784 |
David L. Donoho and Iain M. Johnstone Requires Authentication Unlicensed Licensed |
833 |
Stéphane Jaffard and Robert D. Ryan Requires Authentication Unlicensed Licensed |
858 |
Jerome M. Shapiro Requires Authentication Unlicensed Licensed |
861 |