Overview
- Comprises work from top researchers in the field
- Provides a comprehensive overview of fundamental concepts
- Demonstrates state-of the-art applications to signal and image processing, denoising, tomography, and medical imaging
- Explores new ideas in data processing
- Valuable for a wide audience, including graduate students, researchers, and practitioners in mathematics, engineering, and physics
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (14 chapters)
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Front Matter
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The Mathematical Theory of Wavelets
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Front Matter
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Back Matter
Keywords
About this book
Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas.
This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems.
Overall, the book is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering.
Editors and Affiliations
Bibliographic Information
Book Title: Wavelets and Multiscale Analysis
Book Subtitle: Theory and Applications
Editors: Jonathan Cohen, Ahmed I. Zayed
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-8095-4
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media LLC 2011
Hardcover ISBN: 978-0-8176-8094-7Published: 08 March 2011
eBook ISBN: 978-0-8176-8095-4Published: 01 March 2011
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XIV, 338
Number of Illustrations: 87 b/w illustrations
Topics: Fourier Analysis, Signal, Image and Speech Processing, Abstract Harmonic Analysis, Mathematical and Computational Engineering