Monte Carlo methods are used traditionally for forward and backward ray tracing which are numeric solutions of light transport equation in physically accurate computer graphics. Pseudo- Monte Carlo integration is not fast enough so recently the interest is moved towards quasi- Monte Carlo methods. Deterministic quasi-random sampling can provide better performance under some restrictions on the integrand. This work is devoted to basic approaches to speed up the global illumination solution by quasi-random sample points. The methods of overheads reduction due to high constructive dimension and lack of smoothness of rendering equation are considered. Different integration techniques are compared by the examples with analytic solution of rendering equation.

Mathematical modelling in actual problems of science and technics