Improvements in the computation of deflections of the vertical by FFT

Physics and Chemistry of the Earth

Volumn 23, Issue 1, 1998, Pages 71-75

  Tziavos, I N ^a   Andritsanos, V D ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013588936     PISSN: 00791946     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0079-1946(97)00244-9     Document Type: Article

References (16)

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2. st Continental Workshop on the Geoid in Europe, Prague, May 11-14, 1992.
3. Haagmans, R., de Min, E., and van Gelderen, M., Fast evaluation of convolution integrals on the sphere using 1-D FFT, and a comparison with existing methods for Stokes' integral. Manuscr. Geod., 18, 227-241, 1993.
4. Heiskanen, W. and Moritz, H., Physical Geodesy, W.H. Freeman, New York, 1967.
5. Kearsley, A.H.W., Sideris, M.G., Krynski, J., Forsberg, R., and Schwarz, K.P., White Sands revisited - A comparison on techniques to predict deflection of the vertical. UCSE Rep. #30007. Dept. of Surveying Eng., The University of Calgary, Calgary, Alberta, Canada, 1985.
6. Klose, U. and Ilk, K.H., A solution to the singularity problem occurring in the terrain correction formula. Manuscr. Geod., 18, 263-279, 1993.
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8. Liu, Q.W., Li, Y.C., and Sideris, M.G., Evaluation of deflections of the vertical on the sphere and the plane - A comparison of FFT techniques. To appear in Journal of Geodesy, 1997.
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10. Sideris, M.G., Rigorous gravimetric terrain modeling using Molodensky's operator. Manuscr. Geod., 15, 97-106, 1990.
11. Sideris, M.G. and Tziavos, I.N., FFT evaluation and applications of gravity field convolution integrals with mean and point data. Bull. Geod., 62(4), 521-540, 1988.
12. Sideris, M.G., Tziavos, I.N., and Schwarz, K.P., Computer software for terrain reductions using Molodensky's operator. Contract Rep. 89-003, Dept. of Surveying Eng., The University of Calgary, Calgary, Alberta, Canada, 1989.
13. Strang van Hees, G., Stokes formula using Fast Fourier techniques. Manuscr. Geod., 15, 235-239, 1990.
14. Tziavos, I.N., Numerical considerations of FFT methods in gravity field modeling. Wiss. Arb. D. Fachr. Verm. Wesen, Univ. Hanover, Nr. 188, Hanover, 1993.
15. Tziavos, I.N., Comparisons of spectral techniques for geoid computations over large region. Journal of Geodesy, 70, 357-373, 1995.
16. Tziavos, I.N., Sideris, M.G., and Schwarz, K.P., A study of the contributions of various gravimetric data types on the estimation of gravity field parameters on the mountains. JGR, 97(B6), 8843-8852, 1992.