UDC 004.925.86
CALCULATION OF MULTIFRACTALS BY GROWTH METHOD IN VIRTUAL AND AUGMENTED REALITIES
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, 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.-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.
A method for modeling multifractals by growth method on stationary and growing geometric media is proposed. The problem of controlling multifractal spectra and the processes of growth of multifractals over time is solved. The concept of multiparametric or vector multifractals is proposed, which makes it possible to describe non-trivial multifractal complexes. Algorithms for calculating multifractal structure on growing monofractal and calculating point multifractals have been developed. The analysis of machine experiments results confirmed practical applicability of the proposed algorithms.
Key words: : virtual and augmented reality, numerical modeling, multifractals, multifractal spectrum, growth law of multifractals, algorithms for constructing multifractals.