Surface modeling for GPS-levelling geoid determination

Abstract

Many surface modeling techniques can be used for local geoid determination. These can be listed as; Inverse distance to a power, kriging, minimum curvature, nearest neighbor, polynomial regression, radial basis function, Shepard's Method's, Triangulation/Linear Interpolation, collocation etc. Each technique has different calculation methods and used for different type of land. At the same time, each of them has some advantage and disadvantage. In this paper, theoretical and mathematical principles of some surface modeling techniques for geoid determination have been examined. In this concept, a test area has been selected and geoid models of this area have been created by some selected modeling techniques. Here it is searched that accuracy, practicability and serviceability of surface modeling techniques. All techniques have been compared to each other and known geoidal heights values from GPS and geometric levelling for 26 selected points.