This paper describes an earth gravitation model (EGM) in a wavelet basis. The motivation is to provide an EGM that can be updated efficiently when new regional gravity data are available. Current techniques employ high degree and order spherical harmonic expansions that are characterized by global basis functions, thus precluding efficient regional update. In contrast, wavelets exhibit excellent localization properties that facilitate regional update. The approach uses a 2-D extension of the Beylkin-Coifman-Rokhlin (BCR) algorithm for evaluating integral operators. This algorithm is applied to Stokes’ integral to obtain an expression for the geoid undulation in a wavelet basis. An implementation is described and a geoid undulation map is produced. A technique to obtain a local update to both the wavelet EGM and the geoid undulations in regions where new gravity anomalies are available is described.
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- A Wavelet Based Gravity Model with an Application to the Evaluation of Stokes’ Integral
P. H. Salamonowicz
- Springer Berlin Heidelberg
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