Abstract
One of the most interesting and challenging tasks in the field of geodetic surveying is the accurate determination of orthometric heights from GPS measurements taking into account leveling data and additional gravity field information. This paper focuses on the presentation of the currently available various solution strategies which are then properly applied. The first method is based on the integrated geodetic model, where gravity field parameters are treated as signals. A second solution is based on a combination scheme employing least squares collocation as the optimal heterogeneous combination method for gravity and height data. Another method is the spectral domain equivalent of least squares collocation, namely the Multiple Input Multiple Output System Theory, where gravity and height data are treated as stochastic signals with full variance covariance information. The last method consists in a polynomial interpolation model of various orders expressing different geoid representations.
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References
Andritsanos, V.D. (2000). Optimum combination of terrestrial and satellite data with the use of spectral techniques for applications in geodesy and oceanography. PhD dissertation, Aristotle University of Thessaloniki, Department of Geodesy and Surveying.
Andritsanos, V.D. and I.N. Tziavos (2002). Estimation of gravity field parameters by a multiple input/output system. Phys. Chem. Earth A, 25(1), 39–46.
Andritsanos, V.D., M.G. Sideris, and I.N. Tziavos (2001). Quasi-stationery Sea Surface topography estimation by the multiple Input-Output method. J. Geodesy, 75, 216–226.
Andritsanos, V.D., G. Fotopoulos, A. Fotiou, C. Pikridas, D. Rossikopoulos, and I.N. Tziavos (2004). New local geoid model for Northern Greece. Proceedings of INGEO 2004 – 3rd Inter Conf on Eng Surv, FIG Regional Central and Eastern European Conference, Bratislava, Slovakia.
Dermanis, A. (1987). Geodetic applications of interpolation and prediction. Int. School of Geodesy A. Marussi, Erice, Italy, 15–25 June.
Dermanis, A. and A. Fotiou (1992). Methods and applications of observation adjustment. Editions Ziti (in Greek).
Hatjidakis, N. and D. Rossikopoulos (2002). Orthometric heights from GPS: the integrated approach. In Tziavos (ed), 3rd Meeting of the International Gravity and Geoid Commission (IGGC), Gravity and Geoid, pp. 401–406.
Hein, G.W. (1985). Orthometric height determination using GPS observations and the integrated geodesy adjustment model. NOAA Technical Report NOS 110 NGS 32, Rockville, MD.
Hein, G.W., A. Leick, and S. Lambert (1988). Orthometric height determination using GPS and gravity field data. GPS’88 Conference on Engineering. Applications of GPS Satellite Surveying Technology, May 11–14, 1988, Nashville, TN.
Kotsakis, C. and M.G. Sideris (1999). On the adjustment of combined GPS/levelling/geoid networks. J. Geodesy, 73, 412–421.
Krarup, T. (1969). A contribution to the mathematical foundation of physical geodesy. Rep no 44, Danish Geodetic Institute.
Moritz, H. (1980). Advanced physical geodesy. 2nd ed, Wichmann, Karlsruhe.
Sansò, F. and M.G. Sideris (1997). On the similarities and differences between systems theory and least-squares collocation in physical geodesy. Boll di Geodesia e Scienze Affini, 2, 174–206.
Sideris, M.G. (1996). On the use of heterogeneous noisy data in spectral gravity field modeling methods. J. Geodesy, 70: 470–479.
Vergos, G.S., I.N. Tziavos, and V.D. Andritsanos (2005). On the determination of marine geoid models by least-squares collocation and spectral methods using heterogeneous data. In: Sansó F (ed), A window on the future of geodesy, Inter Assoc of Geod Symposia, Vol. 128, Springer – Verlag, Berlin, Heidelberg, pp. 332–337.
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Fotiou, A., Grigoriadis, V.N., Pikridas, C., Rossikopoulos, D., Tziavos, I.N., Vergos, G.S. (2010). Combination Schemes for Local Orthometric Height Determination from GPS Measurements and Gravity Data. In: Mertikas, S. (eds) Gravity, Geoid and Earth Observation. International Association of Geodesy Symposia, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10634-7_40
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DOI: https://doi.org/10.1007/978-3-642-10634-7_40
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