Scale Continuous, Scale Discretized and Scale Discrete Harmonic Wavelets for the Outer and the Inner Space of a Sphere and Their Application to an Inverse Problem in Geomathematics
- In this paper we construct a multiscale solution method for the gravimetry problem, which is concerned with the determination of the earth's density distribution from gravitational measurements. For this purpose isotropic scale continuous wavelets for harmonic functions on a ball and on a bounded outer space of a ball, respectively, are constructed. The scales are discretized and the results of numerical calculations based on regularization wavelets are presented. The obtained solutions yield topographical structures of the earth's surface at different levels of localization ranging from continental boundaries to local structures such as Ayer's Rock and the Amazonas area.
Author: | Volker Michel |
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URN: | urn:nbn:de:hbz:386-kluedo-9996 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (223) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2000 |
Year of first Publication: | 2000 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/03/23 |
Tag: | Gravimetry; Inverse Problem; Isotropy; Multiscale Methods; Regularization; Wavelet |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |