Multifractal Detrended Fluctuation Analysis Combined with Allen–Cahn Equation for Image Segmentation DOI Creative Commons

Minzhen Wang,

Y. Wang,

R. Xu

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 310 - 310

Published: May 12, 2025

This study proposes a novel image segmentation method, MF-DFA combined with the Allen–Cahn equation (MF-AC-DFA). By utilizing instead of least squares method employed in traditional for fitting, accuracy and robustness are significantly improved. The article first conducts experiments under various conditions, including different target shapes, backgrounds, resolutions, to verify feasibility MF-AC-DFA. It then compares proposed gradient methods demonstrates superiority Finally, real-life wire diagrams transmission tower used segmentation, which shows application potential MF-AC-DFA complex scenes. is expected be applied real-time state monitoring analysis power facilities, it anticipated improve safety reliability grid.

Language: Английский

Multiscale multifractal assessment of sub-monthly hydrometeorological flash events in a tropical climate DOI
Humberto Millán, Ana M. Tarquís,

Ramiro Cumbrera

et al.

Theoretical and Applied Climatology, Journal Year: 2025, Volume and Issue: 156(3)

Published: March 1, 2025

Language: Английский

Citations

0

Fractal complexity evaluation for the predictability assessment of daily streamflows of Indian river basins DOI

Shamseena Vahab,

Sharikha Alikkal,

Shahala Jasmine Kunnummal

et al.

The European Physical Journal Special Topics, Journal Year: 2025, Volume and Issue: unknown

Published: May 5, 2025

Language: Английский

Citations

0

Multifractal Detrended Fluctuation Analysis Combined with Allen–Cahn Equation for Image Segmentation DOI Creative Commons

Minzhen Wang,

Y. Wang,

R. Xu

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(5), P. 310 - 310

Published: May 12, 2025

This study proposes a novel image segmentation method, MF-DFA combined with the Allen–Cahn equation (MF-AC-DFA). By utilizing instead of least squares method employed in traditional for fitting, accuracy and robustness are significantly improved. The article first conducts experiments under various conditions, including different target shapes, backgrounds, resolutions, to verify feasibility MF-AC-DFA. It then compares proposed gradient methods demonstrates superiority Finally, real-life wire diagrams transmission tower used segmentation, which shows application potential MF-AC-DFA complex scenes. is expected be applied real-time state monitoring analysis power facilities, it anticipated improve safety reliability grid.

Language: Английский

Citations

0