An estimation method of fractal parameters on rough surfaces based on the exact spectral moment using artificial neural network

DOI10.1016/j.chaos.2022.112366zbMath1504.65083OpenAlexW4283383837MaRDI QIDQ2112955

Congbin Yang, Zhi-Feng Liu, Tao Zhang, Yang Tian, Kai Jiang

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112366

zbMATH Keywords

identificationneural networksurface topographyspectral moment

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Fractals (28A80)

Cites Work

• Analyses and simulation of anisotropic fractal surfaces
• A comparative study of fractal dimension calculation methods for rough surface profiles
• Surrogate data modeling the relationship between high frequency amplitudes and Higuchi fractal dimension of EEG signals in anesthetized rats
• Exponential stability of nonlinear state-dependent delayed impulsive systems with applications
• Influence of sampling length on estimated fractal dimension of surface profile
• Differential box counting methods for estimating fractal dimension of gray-scale images: a survey
• Relationship between the fractal dimension and the power law index for a time series: A numerical investigation

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