| Description | | - * clear and comprehensiveintroduction to this burgeoning field
- * Covers both theory and applications.
- * Genuinely interdisciplinarity
| | In recent years there has been an explosion of interest in wavelets, in a wide range of fields in science and engineering and beyond. This book brings together contributions from researchers from disparate fields, both in order to demonstrate to a wide readership the current breadth of work in wavelets, and to encourage cross-fertilization of ideas. It demonstrates the genuinely
interdisplinary nature of wavelet research and applications. Particular areas covered include turbulence, statistics, time series analysis, signal and image processing, the physiology of vision, astronomy, economics and acoustics. Some of the work uses standard wavelet approaches and in other cases new methodology is developed. The papers were originally presented at a Royal Society Discussion
Meeting, to a large and enthusiastic audience of specialists and non-specialists. |
Readership: Graduates and researchers in many fields of research, including mathematics, statistics, computer science, engineering, economics. This is a genuinely interdisciplinary area of research.
| Contents |
Contributors
1.
Wavelets on irregular point sets
,
Ingrid Daubechies et al.
2.
Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis
,
A. Arneodo et al.
3.
Wavelets for the study of intermittency and its topology
,
F. Nicolleau and J. C. Vassilicos
4.
Wavelets in statistics: beyond the standard assumptions
,
Bernard W. Silverman
5.
Wavelets and the theory of non-parametric function estimation
,
Iain M. Johnstone
6.
Ridgelets: a key to higher-dimensional intermittency?
,
Emmanuel J. Candès and David L. Donoho
7.
Wavelets in time-series analysis
,
Guy P. Nason and Rainer von Sachs
8.
Wavelets, vision and the statistics of natural scenes
,
D. J. Field
9.
Image processing with complex wavelets
,
Nick Kingsbury
10.
Application of wavelets to filtering of noisy data
,
Ue-Li Pen
11.
Approximation and compression of piecewise smooth functions
,
Paolo Prandoni and Martin Vetterli
12.
The contribution of wavelets to the analysis of economic and financial data
,
James B. Ramsey
13.
Harmonic wavelets in vibrations and acoustics
,
D. E. Newland
|
| Authors, editors,
and contributors | Edited by B. W. Silverman, Henry Overton Wills Professor of Mathematics, University of Bristol and J. C. Vassilicos, Department of Applied Mathematics and Theoretical Physics, Cambridge University
|
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