Comparative study regarding the methods of interpolation

An important problem between specialists is the interpolation of the surfaces determined by classics or modern techniques. Choosing the proper technique is practically a rigorous study regarding all the interpolation methods and using that method according to the needs of the project. The determination of the Digital terrain model, the digital surface model from GNSS, LiDAR or classic measurements, the determination of the surface of the quasi – geoid surface with the geometric method from GNSS and leveling observations are one of the projects that use the interpolation techniques. In this paper are shortly presented the main methods for interpolating the surfaces as: polynomial interpolation, Delaunay triangulation, nearest neighbor, natural neighbor, Kriging, inverse distance weighting (IDW) and spline functions. The study ends with a comparative study regarding the characteristics of each method presented. Key-Words: -interpolation, surface, Delaunay triangulation, Kriging, Inverse distance weighting (IDW)