My master´s thesis deals with use of astronomical levelling for creation of quasigeoid models. The basic input dates are componets of astronomical-geodetic deflections of the vertical in points, which are determined on AGNES and VEVEŘÍ nets. The dates are adjust for determination of relative quasigeoid. In literature [4], there is simplified solution for adjustment of this dates. The thesis looks for the most comprehensive solutions of adjustment without simplification. The solutions are compared.

In computer graphics we can handle unstructured triangular 3D meshes which are not too usable for processing through their irregularity. In these situations it occurs need of conversion that 3D mesh to more suitable representation. Some kind of 3D spline surface can be proper alternative because it institutes regularity in the form of control points grid and that's why it is more suitable for next processing. During conversion, which is described in this thesis, quadrilateral 3D mesh is constructed at first. This mesh has regular structure but mainly the structure corresponds to structure of control points grid of resulting 3D spline surface. Created quadrilateral 3D mesh can be saved and consequently used in specific modeling applications for T-spline surface creation.