Radial function correction model for gravity(quasi-)geoid and geometric(quasi-)geoid deviation
To address the issue of discrepancies between the geoid and the physical Earth's geoid as determined by the global navigation satellite system(GNSS)and leveling,a correction model based on spherical radial basis functions is proposed.This involves using the differences between the geoid defined by gravity and the GNSS/leveling-derived geoid heights to enhance the accuracy of the regional geoid.The results of this trial show that the spherical radial basis functions can effectively correct the gravity geoid to the geometric geoid;the difference in geoid height anomalies at GNSS/leveling check points is reduced from 7.58 cm to below 4 cm.The correction effects of the point mass function,second-order radial multipole function,Poisson kernel function,and second-order Poisson wavelet basis function differ by less than 1 mm,which is negligible.Compared to the method of fitting with polynomial functions,the spherical radial basis function correction technique achieves higher precision,improving the accuracy of the elevation anomalies from 3.9 cm to below 3.2 cm.
spherical radial basis functiongravity field modelquasi-geoidfitting modelelevation anomaly
NETL
NSTL
万方数据
