Statistical modeling of three-dimensional fractal point sets with a given spatial probability distribution

Kolyukhin Dmitriy ()
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Kolyukhin Dmitriy: Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Koptug ave. 3, 630090Novosibirsk, Russia

Monte Carlo Methods and Applications, 2020, vol. 26, issue 3, 245-252

Abstract: 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.

Keywords: Statistical simulation; fractals; correlation dimension (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1515/mcma-2020-2066

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