Методи оцінювання фрактальних розмірностей

Abstract

This work is devoted to the study of various methods and approaches to the estimation of fractal dimensions, which play an important role in determining the complexity and structure of objects in physics, mathematics, biology, chemistry, biochemistry, medicine, electronics, materials science, signal and image processing, computer networks, and many others. The report analyzes several methods of calculating these dimensions. A description and explanation of the principle of operation is provided for each of them.