Merging a Gravimetric Model of the Geoid with GPS/Levelling data : an Example in Belgium
A new model of the gravimetric quasi-geoid covering Belgium was computed in 2003. In order to adapt it to the needs of levelling by GPS, it was necessary to fit it to a set of levelled GPS points embodying the Belgian geodetic and levelling reference systems. A dense network was available, allowing significant methodological and statistical studies on how to model differences between the gravimetric geoid and the levelled GPS points. A method using kriging with the outlier detection in GPS-levelling data was applied. Several models of trend and covariance functions were tested. A reference surface dedicated to levelling by GPS in Belgium is presented, the accuracy of which is about 2–2.5 cm.
KeywordsGeoid levelling by GPS kriging Belgium
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