Romaniuk O. High efficient methods and facilities for three-dimensional images final visualisation in the computer graphic systems

The object of research is the process of the final visualization of three-dimensional images of high-performance systems in computer graphics. The subject of researches is high-performance methods and tools for the ultimate visualization of three-dimensional objects. Methods of researches: the theory of numbers and numerical methods, the theory of algorithms, the theory of interpolation of functions, methods of analytical geometry, linear algebra, spherical geometry, differential and integral calculus for the development of the methods for rendering and lighting models, computer simulation for analysis and validation of theoretical propositions. The purpose of this work is to increase the productivity of the tools for three-dimensional images formation by reducing the computational complexity and hardware implementation of the final stages of the visualization, as well as improving the realism of graphic scenes, through the correct reproduction of colors and contours and anti-aliasing of objects. Scientific novelty of the results is the development of the theory of finite three-dimensional visualization of graphical objects that provides a solution to the problem of improving of the efficiency of imaging and realism in computer graphics systems. The practical significance of the results is that on the basis of the theory a set of software and hardware for the three-dimensional images creation in computer graphics systems was developed. The level of the implementation is within the industry. The scope of implementation is the systems of formation and display of the graphic information, СAD, the means of computing technology.