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Abstract <p>This 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 is validated using detrended fluctuation analysis (DFA). The results obtained indicate the applicability of the method and the need to improve its robustness.</p>

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Fluctuational Analysis of Distributed Objects Based on Optical Flow

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • A. M. Sinitca

摘要

Abstract

This 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 is validated using detrended fluctuation analysis (DFA). The results obtained indicate the applicability of the method and the need to improve its robustness.