D. Kolyukhin

: Monte Carlo Methods and Applications

The work is devoted to three-dimensional modeling of fractal sets of points. Additional constraints in the form of probability density caused by the frequency of the generated points' spatial distribution are considered. The suggested method for statistical simulation allows reproducing both the given probability distribution defining the spatial position of the generated points and the required fractal dimension. Performed numerical computations confirm the accuracy and efficiency of the proposed method for the considered test models.