During research, positive aspects and advantages of NURBS curves and surfaces have been tested; three basic directions of three-dimensional modelling have been investigated: Constructive Solid Geometry, Implicit Surfaces and Subdivision Surfaces. The author of the paper has also considered the modern basic sources of the data used for creation of high-precision and realistic three-dimensional models. The research also focuses on modern software for 3D laser scanning data processing and subsequent three-dimensional modelling – Geomatic Studio 12. The primary reason for the choice of concrete 3D modelling technology depends on the problem, which is being solved, the accuracy of final model, operator’s skills to work in any given environment, the accessible software and parameters of physical part of data processing system, i.e. hardware and its ability to work for a certain period of time trouble-free (operational efficiency). The secondary factor, influencing the choice of the program, is the financial maters associated with any project. Within the framework of the practical part, the basic recommendations about work with mesh type and NURBS 3D models have been worked out and formulated; various analyses have been carried out (standard 3D deviation analysis; correlation analysis of efficiency of the used algorithms for mesh type surface improvement, etc.); 3D model exportability (both polygon and NURBS models) has been investigated in various up-to-date 3D modelling programs: Autodesk3ds Max 2011 x64, provided by Autodesk Education Community, which is the student technical support centre. The aim of the engineering project has been to create three-dimensional models of parts of Cesis Castle ruins in Geomagic Studio 12, the northern building and the Master premises, located in the upper part of the building. The author of the paper has used laser scanning data obtained during the measurement works of destroyed and deformed surfaces of the walls of the castle (within the framework of ERAF project in 2008).