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

Author

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  • Kolyukhin Dmitriy

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

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.

Suggested Citation

  • Kolyukhin Dmitriy, 2020. "Statistical modeling of three-dimensional fractal point sets with a given spatial probability distribution," Monte Carlo Methods and Applications, De Gruyter, vol. 26(3), pages 245-252, September.
    • Handle: RePEc:bpj:mcmeap:v:26:y:2020:i:3:p:245-252:n:3
    DOI: 10.1515/mcma-2020-2066
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    References listed on IDEAS

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    1. Zou, Mingqing & Yu, Boming & Feng, Yongjin & Xu, Peng, 2007. "A Monte Carlo method for simulating fractal surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 176-186.
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