The Local Geoid Determination Using Least Square Collocation and Kriging Interpolation Methods

The local geoid determination applications increased last year depending on satellite technologies in geodesy. Geoid undulation (N), obtained from ellipsoidal height (h) to orthometric height (H) is required for many geodetic and surveying applications. There are some methods for geoid determination like Stokes formulation, Molodensky formulae, Fast fourier transform (FFT) technique, Remove-compute-restore, Least squares collocation approach, Inverse distance, kriging, nearest neighbour, polynomial regression, radial basis function, etc. In least square collocation model, the errors of functional models known as signal can be easily determined. The Kriging interpolation predict the optimum value using the closest data. These approaches can be applied in local geoid determination. In the application firstly, the geoid undulation is calculated from ellipsoidal and orthometric heights. Then, the least square collocation and kriging interpolation methods are used to develop the local geoid surface. At the end of application the standard deviation of the methods were obtained and compared for determined advantages of methods