TY - INPR
A1 - Michel, Volker
T1 - Regularized Multiresolution Recovery of the Mass Density Distribution from Satellite Data of the Earth's Gravitational Field
N2 - The inverse problem of recovering the Earth's density distribution from satellite data of the first or second derivative of the gravitational potential at orbit height is discussed. This problem is exponentially ill-posed. In this paper a multiscale regularization technique using scaling functions and wavelets constructed for the corresponding integro-differential equations is introduced and its numerical applications are discussed. In the numerical part the second radial derivative of the gravitational potential at 200 km orbit height is calculated on a point grid out of the NASA/GSFC/NIMA Earth Geopotential Model (EGM96). Those simulated derived data out of SGG satellite measurements are taken for convolutions with the introduced scaling functions yielding a multiresolution analysis of harmonic density variations in the Earth's crust.
T3 - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 257
KW - harmonic density
KW - gravimetry
KW - wavelets
KW - scaling functions
Y1 - 2003
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1413
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-12542
N1 - Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/620-257
ER -