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9780898714487 Academic Inspection Copy

Wavelets

Tools for Science & Technology
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An analysis of wavelets as tools for science and technology. This second edition is revised to include completely rewritten chapters on three topics: wavelets and the study of turbulence; wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function); and wavelets in astronomy. A new chapter on data compression was the original motivation for the new edition, and it contains information on image processing. Several other chapters have been updated with comments, references, historical notes and new material. Three appendices have been added: a primer on filters; key results (with proofs) about the wavelet transform; and a complete discussion of a counterexample to a conjecture of Mallat on zero-crossings. In addition, the references have been expanded to a selection of more than 200 entries.
Preface to Revised Edition Preface from the First Edition Chapter 1: Signals and Wavelets Chapter 2: Wavelets from a Historical Perspective Chapter 3: Quadrature Mirror Filters Chapter 4: Pyramid Algorithms for Numerical Image Processing Chapter 5: Time-Frequency Analysis for Signal Processing Chapter 6: Time-Frequency Algorithms Using Malvar?Wilson Wavelets Chapter 7: Time-Frequency Analysis and Wavelet Packets Chapter 8: Computer Vision and Human Vision Chapter 9: Wavelets and Turbulence Chapter 10: Wavelets and Multifractal Functions Chapter 11: Data Compression and Restoration of Noisy Images Chapter 12: Wavelets and Astronomy Appendix A: Filter Fundamentals Appendix B: Wavelet Transforms Appendix C: A Counterexample Appendix D: Hoelder Spaces and Besov Spaces Bibliography Author Index Subject Index.
This long-awaited update of Meyer's Wavelets: Algorithms and Applications.
"In many respects the book is a personal view of the field, and others would no doubt have tackled the undertaking quite differently; this actually adds to the book's interest.. I believe it is accessible to any scientifically minded reader with rudimentary knowledge of Fourier analysis; furthermore, the seasoned mathematician will find discussions of many interesting nonmathematical topics.. I recommend the book as a delightful introduction to wavelets." --Ingrid Daubechies, AT&T Bell Laboratories, Science, Vol. 262, December 3, 1993."
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