ellibsЭлектронные библиотекиRussian Digital Libraries Journal1562-5419Казанский (Приволжский) федеральный университет10.26907/1562-5419-2025-28-2-415-431ellibs-553Research ArticleСтатьиОценка флуктуационных характеристик распределённых объектов на основе оптического потокаFluctuational Analysis of Distributed Objects Based on Optical FlowСиницаАлександр МихайловичSinitcaAleksandr Michailovichamsinitca@etu.ruСанкт-Петербургский государственный электротехнический университет «ЛЭТИ»Saint Petersburg Electrotechnical University "LETI".202528052025282415–431Copyright © Синица А.М., 20252025Синица А.М.Sinitca A.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ellibs.elpub.ru/jour/article/view/553

Предложен метод оценки флуктуационных характеристик распределённых объектов на основе флуктуационного анализа в предположении, что оценка оптического потока является аналогом приращений случайного блуждания. Достоверность и применимость метода проверены в двух вычислительных экспериментах. Первый эксперимент посвящён анализу броуновского движения компактного объекта. Во втором подтверждена адекватность метода для оценки динамических характеристик пространственно-распределённого флуктуирующего объекта. В рамках обоих экспериментов контроль показателя Херста осуществлен методом флуктуационного анализа с исключением тренда. Полученные результаты указывают на потенциальную применимость метода и необходимость его дальнейшей оптимизации с целью повышения робастности.

The paper proposes a method for estimating the fluctuation characteristics of distributed objects based on the fluctuation analysis and the assumption that the optical flow estimate is equivalent to random-walk increments. The reliability and applicability of the proposed method are evaluated in two computational experiments. The first experiment analyses the Brownian motion of a compact object. The second evaluates the adequacy of the method for estimating the dynamic characteristics of a spatially distributed fluctuating object. In both experiments, the Hurst exponent has been validated using detrended fluctuation analysis (DFA). The results obtained indicate the applicability of the method and the need to improve its robustness.

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The authors declare that there are no conflicts of interest present.