The use of spectral techniques in gravity field modelling: Trends and perspectives

Physics and Chemistry of the Earth

Volumn 23, Issue 1, 1998, Pages 31-39

  Forsberg, Rene ^a  

^a Kort & Matrikelstyrelsen   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

GEODESY; SPECTRAL METHOD;

EID: 0031868078     PISSN: 00791946     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0079-1946(97)00238-3     Document Type: Article

References (32)

1. Bottoni, G.P. and R. Barzaghi: Fast collocation. Bull. Geod., 62, pp. 119-126, 1993.
2. Denker, H., D. Behrend and W. Torge: European gravimetric geoid: Status report 1994. In: Gravity and Geoid, IAG Symposium Series no. 113, pp. 423-432, Springer Verlag, 1994.
3. Dorman, L. M. and B. T. R. Lewis: The use of non-linear functional expansions in calculation of the terrain effect in airborne and marine gravimetry and gradiometry. Geophysics, 32, 33-38.
4. Eren, K.: Toeplitz matrices and frequency domain collocation. Man.Geod., 2, pp. 85-116, 1982.
5. Forsberg, R.: A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling. Reports of the Department of Geodetic Science and Surveying, No. 355, The Ohio State University, Columbus, Ohio, 1984.
6. Forsberg, R.: Gravity Field Terrain Effect Computations by FFT. Bulletin Geodesique, Vol. 59, pp. 342-360, 1985.
7. Forsberg, R.: A new high-resolution geoid of the Nordic area. In: Determination of the geoid. IAG symposium 106, Milano, Proc. published by Springer Verlag, 1990
8. Forsberg, R., J. Kaminskis and D. Solheim: Geoid of the Nordic and Baltic region from gravimetry and satellite altimetry. Proceedings of the International Symposium on Gravity, Geoid and Marine Geodesy, Tokyo, Japan (in print), 1996.
9. Forsberg, R. and D. Solheim: Performance of FFT methods in local gravity field modelling. Proc. Chapman Conf. on Earth's gravity field, Ft. Lauderdale, Florida, pp. 100-103, 1988.
10. Forsberg, R. and M.G. Sideris: On topographic effects in gravity field approximation. In: Kejlsø, Poder and Tscherning (Eds.): Festschrift to Torben Krarup, Geodætisk Institut Meddelelse no. 58, pp. 129-148, 1989.
11. Forsberg, R. and M. G. Sideris: Geoid computations by the multi-band spherical FFT approach. Manuscripta Geodaetica, 18, 82-90, 1993.
12. Haagmans, R., E. de Min and M. van Gelderen: Fast evaluation of convolution integrals on the sphere using 1D FFT, and a comparsion with existing methods for Stokes' integral. Manuscr. Geodatica, 18, 227-241, 1993.
13. Harrison, J.C. and M. Dickinson: Fourier transform methods in local gravity field modelling. Bulletin Geodesique, 63, pp. 149-166, 1989.
14. Kearsley, A. H. W., M. G. Sideris, J. Krynski, R. Forsberg, K. P. Schwarz: White Sands revisited - a comparison of techniques to predict deflections of the vertical. UCSE report 30007, Div. of Surveying Engineering, University of Calgary, 1985.
15. Knudsen, P. and O. B. Andersen: Improved global gravity field from ERS-1 and GEOSAT satellite altimetry. Proc. of the Int.Symposium on Gravity, Geoid and Marine Geodesy, Tokyo, Japan (in print), 1996.
16. Milbert, D. G.: Geoid 90, a high-resolution geoid for the United States. EOS, 22, no. 49, pp. 545-554, 1991.
17. Moritz, H.: Advanced physical geodesy. Herbert Wichmann Verlag, Karlsruhe, 1980.
18. Nash, R. A. and Jordan, S. K.: Statistical geodesy - an engineering prospective. Proc. IEEE, 66, 532-550, 1978.
19. Parker, R. L.: The rapid calculation of potential anomalies. Geophys. J. R. Astr. Soc., 21, 447-455, 1972.
20. Sandwell, D.: Antarctic marine gravity field from high-density satellite altimetry. Geophys. J. int., 109. pp. 437-448, 1992.
21. Schwarz, K.-P., M. G. Sideris, R. Forsberg: Use of FFT methods in Physical Geodesy. Geophysical Journal International, 100, pp. 485-514, 1990.
22. Sideris, M.G.: Computation of gravimetric terrain corrections using Fast Fourier Transform techniques. UCSE report 20007, Div. of Surveying Eng., Univ. of Calgary, 1984.
23. Sideris, M. G.: A fast Fourier transform method for computing terrain corrections. Manuscripta Geodaetica, 10, pp. 66-73, 1985.
24. Sideris, M. G.: Spectral methods for the numerical solution of Molodensky's problem. UCSE rep. 20024, Dept. of Survey Eng., Univ. of Calgary, 1987.
25. Sideris, M. G. and K. P. Schwarz: Solving Molodensky's series by fast Fourier transform techniques. Bull. Geodesieque, 62, 59-69, 1986.
26. Sideris, M.G.: Rigorious gravimetric terrain modelling using Molodensky's operator. Manuscripta Geodaetica, vol. 15, pp. 97-106, 1990.
27. Sideris, M.G. and B. B. She: A new high-resolution geoid for Canada and part of the US by the 1-D FFT method. Bull. Geod., 62, pp. 98-108, 1995.
28. Sideris, M. G.: Journal of Geodesy, vol. 19, pp. 115-136.
29. Strang van Hees, G.: Stokes formula using Fast Fourier techniques. Man. Geod., 15, pp. 235-239, 1990.
30. Tscherning, C. C., R. Forsberg and P. Knudsen: The GRAVSOFT package for geoid determination. Proc. 1st continental workshop on the geoid in Europe, Prague 1992, pp. 327-334.
31. Vassiliou, A. A.: Numerical techniques for processing airborne gradiometer data. UCSE report 20024, Div. of Surveying Engineering, University of Calgary, 1986.
32. Veronneau, M.: The GSD95 Geoid Model for Canada, Proceedings of the International Symposium on Gravity, Geoid and Marine Geodesy, Tokyo, Japan (in print), 1996.