| Summary: In this study, the proprietary values of Orthometric Height (H) and three-dimensional cartesian coordinate called ITRF96, Ellipsiod Height (h), coordinates (Y,X) of C1 (AGA), C2 (SGA), C3 (ASN) point sestablished on the ground in Trabzon and Gumushane provinces have been provided by Geodesy Department in Trabzon IX. Regional Directorate of Land Registryand Cadastre. After C graded-points whose base lenghts are different have been classified in themselves with in borders of Trabzon and Gumushane provinces according to their categories, test and reference points have been chosen from those ones. It has been observed to the distribution of the points in a homogeneous way while being decided. The values of geoid height have been obtained from the differences of existing orthometric and ellipsoid height in the points. In the test points whose base lenght and Geoid height are different, the values of Geoid height have been determined by the varied interpolation methods. Package software named Matlab 2012 has been used for determinations. It has been tried to be confirmed which interpolation method gets more meaningful result in the study carried on by being taken the differences of the values of Geoid height determined in the test points and existing Geoid height values.
In that application, the points have been divided as the reference and test ones. While deciding on reference points, the point distributions in the direction of x and y coordinates have been analyzed. In this study, some methods such as weighted average, quadratic, cubic, lineer, bi-quadratic, bi-cubic, bi-lineer in terpolation have been utilized. In the comparison of interpolation methods, some criterias such as the differences of point number and distribution, implementation of the application to different topographical structures have been watched out.
Keywords: Interpolation methods, Weighted Average, Geoid Undulation, Orthometric Height, Polynomial Surfaces |
