TY  - INPR
A1  - Michel, Volker
T1  - 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
N2  - 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.
T3  - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 223 
KW  - Wavelet
KW  - Multiscale Methods
KW  - Inverse Problem
KW  - Gravimetry
KW  - Regularization
KW  - Isotropy
Y1  - 2000
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1046
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-9996
ER  -