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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2021 Issue 4(106), Pages 6–10 (Mi irj603)

PHYSICS AND MATHEMATICS

Development of program for determination of fractal dimensions of images

V. Y. Ilichev

Kaluga Branch of Bauman Moscow State Technical University

Abstract: The purpose of the work is to create a program for determining the fractal (fractured) dimension of 2D images. This is necessary, for example, for fractal analysis of surface roughness, paintings of convection, turbulence, meteorological phenomena, and can help in creating the most adequate models of physical processes. The calculation of fractal dimension is carried out by the so-called box counting method. Program code is written in Python, chosen for convenience reasons with matrices filled with image pixel values and calculated values. As examples, the difference between fractal dimensions of urban and natural landscape is shown. Recommendations were made on the application and development of created program.

Keywords: fractal dimension, box counting method, chaos theory, Python language, Numpy module.

DOI: 10.23670/IRJ.2021.106.4.001



© Steklov Math. Inst. of RAS, 2024