ArticleResults in engineering2025
Exact box-counting and temporal sampling algorithms for fractal dimension estimation with applications to animal behavior analysis.
Article in Results in engineering, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Temporal and Cell-Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Spike dynamics in primate lateral prefrontal cortex during working memory and decision-making: A fractal analysis.iScience · 2026Article
- Fractal Indices as Estimators of the Complexity of Ephemeroptera Nymph Movement in a Thermal Stress Experiment.Ecology and evolution · 2026Article
- Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators.Entropy (Basel, Switzerland) · 2026Article
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Authors and funding
2 authors.
Funding
Abstract
Fractal dimension (FD) is a widely recognized metric in mathematics and physics for quantifying the complexity of intricate objects and processes. In this study, we propose novel algorithms to estimate the FD of animal movement using high-resolution spatial and temporal data. To enhance estimation accuracy, we developed an oversampling technique that linearly interpolates between adjacent points on movement paths. Furthermore, we introduced an exact box-counting algorithm tailored for piecewise linear paths, ensuring accurate fractal dimension estimations. Considering that animal behavior is typically recorded at fixed frame rates, we also propose a temporal sampling method for calculating FD using temporal domain scales. Recognizing that FD varies with scale, we employ a dual total least squares method to identify the optimal scale for FD comparisons across different genotypes. Through large-scale experiments on the movement of
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