PRACTICAL METHOD FOR IMAGE SEGMENTATION USING MULTIFRACTAL DETRENDED FLUCTUATION ANALYSIS COMBINED WITH GRAY–SCOTT MODEL

Yanshan Wang, Runqiao Peng, Renkang Xu, Qin Liu, Yu Wang, Lin Wu, Keyong Chen and Jian Wang
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Yanshan Wang: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Runqiao Peng: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Renkang Xu: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Qin Liu: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Yu Wang: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Lin Wu: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Keyong Chen: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China
Jian Wang: School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 09, 1-19

Abstract: In this paper, a novel image segmentation method (MF-GS-DFA) using multifractal detrended fluctuation analysis (MF-DFA) combined with the Gray–Scott model is proposed, which is an improvement and extension of MF-DFA. Experimental results show that MF-GS-DFA retains high-precision details in segmenting natural and medical images and effectively extracts the contours and fine structures of target objects, overcoming the noise-sensitive limitations of MF-DFA. In addition, our proposed method also shows strong adaptability and robustness in processing images with complex backgrounds and rich texture features, providing a novel solution for biomedical engineering.

Keywords: Multifractal Detrended Fluctuation; Gray–Scott Model; Image Segmentation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500793

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