UDC 004.925.86
FRACTAL GROWTH SIMULATION METHOD IN VIRTUAL AND AUGMENTED REALITY TECHNOLOGIES
K. A. Maikov, Dr. Sc. (Tech.), full professor, Informatics and control systems Department, Bauman Moscow State Technical University, Moscow, Russia;
orcid.org/0000-0003-1864-2397, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. N. Pylkin, Dr. Sc. (Tech.), full professor, Department of Computational and Applied Mathematics, Head of the Department, RSREU, Ryazan, Russia;
orcid.org/0000-0001-9925-2870, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
S. N. Kuzmenko, Ph.D. (Phys. and Math.), associate professor, Department of mathematics, physics and Informatics, Kerch state marine technological University, Kerch, Russia;
orcid.org/0000-0002-1039-1274, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. A. Teplov, post-graduate student, Informatics and control systems Department, Bauman Moscow State Technical University, Moscow, Russia;
orcid.org/0000-0002-1785-6089, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The development of mathematical apparatus to describe fractals in order to solve the tasks of their growth, to design necessary metric characteristics and relations is offered. The problem of estimating time parameters of growth process by its metric characteristics is solved. An algorithm, the predominant feature of which is the alternate refinement of two-time parameters of fractal structure growth has been developed. The analysis of the results of machine experiments confirmed the practical applicability of a proposed algorithm for solving the inverse problem of fractal growth process.
Key words: three-dimensional fractals, growth of three-dimensional fractals, geometric fractals, stochastic fractals, fractal construction algorithms, metric characteristics of fractals, machine learning, regression.