Wavelets in the Geosciences

2000
ISBN: 978-3-540-66951-7
Verlag: Springer-Verlag GmbH

Buch, Englisch, Band 90, 250 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 840 g

Reihe: Lecture Notes in Earth Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Klees, Roland

Haagmans, Roger

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)
• Geowissenschaften Geologie Geophysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Geowissenschaften Geologie Geologie
• Naturwissenschaften Physik Angewandte Physik Geophysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Geowissenschaften Geologie Meteorologie, Klimatologie

Inhaltsverzeichnis

to continuous wavelet analysis.- Building your own wavelets at home.- 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.