Fluctuational Analysis of Distributed Objects Based on Optical Flow

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.

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Publication Details

Journal
Automatic Documentation and Mathematical Linguistics
Published
2025-10-01
DOI
https://doi.org/10.3103/s0005105525700773
Primary Topic
Advanced Optical Network Technologies
Type
article
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article

Fluctuational Analysis of Distributed Objects Based on Optical Flow

Aleksandr Sinitca
Automatic Documentation and Mathematical Linguistics
Advanced Optical Network Technologies
article

Fluctuational Analysis of Distributed Objects Based on Optical Flow

Aleksandr Sinitca
article en

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.

Automatic Documentation and Mathematical LinguisticsVol. 59(S2)
Saint Petersburg State Electrotechnical University (RU)
Openalex Percentile: Top 67%
Advanced Optical Network Technologies
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