Comparison of several interpolation method used to determine the local geoid application in the different geodetic networks

The determination of orthometric height by GNSS is only possible by knowing the geoid height. Therefore, the accuracy in determining the orthometric height based on GNSS measurements depends on the accuracy of the ellipsoidal height and the geoid height. A high resolution and accurate geoid model has practical importance not only for geodesy but also for other engineering branches. Various interpolation methods are used in the application of GNSS / Leveling technique which is one of the methods used for local geoid determination. It is important to determine which interpolation method to use in areas with different network structures. In this study, two application areas in Burdur and Haymana, one of which is a central network and the other is a chain network. In order to evaluate the effect of point density and different geodetic network structures on the results, 4 different geodetic networks were designed for calculations by changing the number of reference points in both networks. For these 4 geodetic networks, interpolation with polynomials, Kriging (ordinary, block) interpolation method and fuzzy logic and geoid undulations were calculated and the results were compared.