This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.

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Bibliographic Information

Book Title: Wavelets in the Geosciences
Editors: Roland Klees, Roger Haagmans
Series Title: Lecture Notes in Earth Sciences
DOI: https://doi.org/10.1007/BFb0011091
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Softcover ISBN: 978-3-540-66951-7Published: 06 March 2000
eBook ISBN: 978-3-540-46590-4Published: 23 November 2005
Series ISSN: 0930-0317
Series E-ISSN: 1613-2580
Edition Number: 1
Number of Pages: XVIII, 250
Topics: Atmospheric Sciences, Applications of Mathematics, Geophysics/Geodesy, Oceanography

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Table of contents (6 chapters)

Front Matter

Introduction to continuous wavelet analysis

Building your own wavelets at home

Part II: Second generation wavelets

Factoring wavelet transforms into lifting steps

Spherical wavelets: Efficiently representing functions on a sphere

Least-squares geopotential approximation by windowed fourier transform and wavelet transform

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