Authors: W Freeden M Schreiner
Publish Date: 2006/01/06
Volume: 79, Issue: 10-11, Pages: 641-651
Abstract
This paper deals with the problem of determining a scalar spherical field from its surface gradient ie the modelling of geoid undulations from deflections of the vertical Essential tools are integral formulae on the sphere based on Green’s function of the Beltrami operator The determination of geoid undulations from deflections of the vertical is formulated as multiscale procedure involving scaledependent regularized versions of the surface gradient of Green’s function An advantage of the presented approach is that the multiscale method is based on locally supported wavelets In consequence local modelling of geoid undulations are calculable from locally available deflections of the vertical
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