“NATIVE” WAVELET TRANSFORM FOR SOLUTION INVERSE PROBLEM OF GRAVIMETRY ON THE SPHERICAL MANIFOLD

References: 15th International Multidisciplinary Scientific GeoConference SGEM 2015, www.sgem.org, SGEM2015 Conference Proceedings, ISBN 978-619-7105-33-9 / ISSN 1314-2704, June 18-24, 2015, Book1 Vol. 3, 1067-1074 pp

ABSTRACT
We show how the continuous wavelet transform with special basis, which we named the "native basis", can be used to analyze geopotential data obtained on the surface of a sphere. The offered method is applied to analyze of gravity anomalies and localize of causative sources of celestial bodies (Earth and Moon).

Keywords: wavelet transform, inverse problem, 3D sphere