Application of a spherical FFT approach in airborne gravimetry |
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Authors: | T. Bláha M. Hirsch W. Keller M. Scheinert |
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Affiliation: | (1) Geodätisches Institut, Universität Stuttgart, Keplerstr. 11, D-70174 Stuttgart, Germany;(2) Institut für Anwendungen der Geodäsie im Bauwesen, Universität Stuttgart, Pfaffenwaldring 7a, D-70569 Stuttgart, Germany;(3) Institut für Planetare Geodäsie, TU Dresden, Mommsenstr. 13, D-01069 Dresden, Germany |
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Abstract: | The basic idea of this paper is to modifyPoisson's integral for harmonic downward continuation into a convolution formula in the space domain. In this manner, the Fast Fourier Transform can be applied. The method is applied to airborne gravimetry, motivated especially by the Greenland survey. The accuracy of data continuation from the flight-level to the ground is analysed. In particular, the influence of latitudinal extension is investigated, since the introduced convolution formula is exact only for the mid-parallel of the analysed area. The results obtained justify the conclusion that the introduced method is applicable to processing of real data. Extended quadratic areas (up to 2500km × 2500km) in equatorial areas and up to 500km × 500km in regions with latitudes about 75°) can effectively be processed in one single procedure. |
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