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Wavelets in the Geosciences

  • Book
  • © 2000

Overview

Editors:
  1. Roland Klees
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    You can also search for this editor in PubMed   Google Scholar

  2. Roger Haagmans
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  • Suited for self-study
  • Application oriented with many examples
  • Supporting webpages with exercises and interactive demonstrations
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Earth Sciences (LNEARTH, volume 90)

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Table of contents (6 chapters)

  1. Front Matter

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  2. Introduction to continuous wavelet analysis

    • Matthias Holschneider
    Pages 1-71

  3. Building your own wavelets at home

    • Wim Sweldens, Peter Schröder
    Pages 72-107

  4. Part II: Second generation wavelets

    Pages 108-130

  5. Factoring wavelet transforms into lifting steps

    • Ingrid Daubechies, Wim Sweldens
    Pages 131-157

  6. Spherical wavelets: Efficiently representing functions on a sphere

    • Peter Schröder, Wim Sweldens
    Pages 158-188

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

    • Willi Freeden, Volker Michel
    Pages 189-241
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About this book

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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