ESTIMATION OF THE FRACTAL DIMENSION OF WEIERSTRASS–MANDELBROT FUNCTION BASED ON CUCKOO SEARCH METHODS

DOI10.1142/S0218348X17500657zbMath1432.28001OpenAlexW2770783023MaRDI QIDQ5219474

Yang Ju, Jiabin Dong, Feng Gao, He-Ping Xie

Publication date: 12 March 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x17500657

zbMATH Keywords

cuckoo search (CS) algorithmfractal dimension (\(D\))total vertical distance (\(T_{\mathrm{vd}}\))variable-step lengthsWeierstrass-Mandelbrot randomized function (WMRF)

Mathematics Subject Classification ID

Searching and sorting (68P10) Search theory (90B40) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Hausdorff and packing measures (28A78)

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A CONTINUOUS VARIATION OF ROUGHNESS SCALING CHARACTERISTICS ACROSS FRACTAL AND NON-FRACTAL PROFILES

Cites Work

• Fractal dimension of irregular digitalized curves by divider method
• A multivariate Weierstrass–Mandelbrot function
• On the Weierstrass-Mandelbrot fractal function
• Self-Affine Fractals and Fractal Dimension
• Fractional Brownian Motions, Fractional Noises and Applications
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