Pattern Analysis of Fractal-Like Systems

被引：1

作者：

Ryzhikova, Yu. V. ^{[1
]}

Ryzhikov, S. B. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY PHYSICS BULLETIN | 2023年 / 78卷 / 04期

关键词：

fractals; patterns; Fourier analysis; scaling; optical diagnostics; lattice objects; dendrites; 2D Weierstrass function; approximants;

D O I：

10.3103/S0027134923040148

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods.

引用

页码：513 / 520

页数：8

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