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Geosciences 2018, 8(10), 369;

Application of Radial Basis Functions for Height Datum Unification

Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, NB E3B5A3, Canada
School of Surveying and Geospatial Engineering, University of Tehran, Tehran 1417466191, Iran
NTIS—New Technologies for the Information Society, University of West Bohemia, Pilsen 306 14, Czech Republic
Author to whom correspondence should be addressed.
Received: 3 August 2018 / Revised: 24 September 2018 / Accepted: 27 September 2018 / Published: 2 October 2018
(This article belongs to the Special Issue Gravity Field Determination and Its Temporal Variation)
PDF [4262 KB, uploaded 2 October 2018]


Local gravity field modelling demands high-quality gravity data as well as an appropriate mathematical model. Particularly in coastal areas, there may be different types of gravity observations available, for instance, terrestrial, aerial, marine gravity, and satellite altimetry data. Thus, it is important to develop a proper tool to merge the different data types for local gravity field modelling and determination of the geoid. In this study, radial basis functions, as a commonly useful tool for gravity data integration, are employed to model the gravity potential field of the southern part of Iran using terrestrial gravity anomalies, gravity anomalies derived from re-tracked satellite altimetry, marine gravity anomalies, and gravity anomalies synthesized from an Earth gravity model. Reference GNSS/levelling (geometric) geoidal heights are used to evaluate the accuracy of the estimated local gravity field model. The gravimetric geoidal heights are in acceptable agreement with the geometric ones in terms of the standard deviation and the mean value which are 4.1 and 12 cm, respectively. Besides, the reference benchmark of the national first-order levelling network of Iran is located in the study area. The derived gravity model was used to compute the gravity potential difference at this point and then transformed into a height difference which results in the value of the shift of this benchmark with respect to the geoid. The estimated shift shows a good agreement with previously published studies. View Full-Text
Keywords: gravity field modelling; geoid; satellite radar altimetry; radial basis functions; collocation gravity field modelling; geoid; satellite radar altimetry; radial basis functions; collocation

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Foroughi, I.; Safari, A.; Novák, P.; Santos, M.C. Application of Radial Basis Functions for Height Datum Unification. Geosciences 2018, 8, 369.

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