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Colour Image Multilevel Thresholding Segmentation Using Trees Social Relationship Algorithm

International Journal of Computer Information Systems and Industrial Management Applications | 2026

Paper Details

Authors: Fakheri S.; Alimoradi M.; Yamaghani M.R.

DOI: 10.70917/ijcisim-2026-1179

Journal: International Journal of Computer Information Systems and Industrial Management Applications

Year: 2026

Publisher: Cerebration Science Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

Abstract

Colour image segmentation via multilevel thresholding is a fundamental yet challenging task in computer vision, primarily due to the exponential growth of candidate thresholds. This paper introduces the Trees Social Relationship Algorithm (TSR), a novel metaheuristic inspired by the cooperative behaviour of trees in a forest. TSR integrates hierarchical parallel sub-populations (sub-jungles), a growth-rate-driven selection mechanism, and three tailored operators (proliferation, seedling-proliferation, and layering) to balance exploration and exploitation. The algorithm optimizes entropy-based (Kapur) and variance-based (Otsu) objectives across colour channels. To ensure reproducibility, detailed pseudocode, parameter settings, and complexity analysis are provided. Extensive experiments on BSDS benchmark images compare TSR against ten established metaheuristics (PSO, ABC, BAT, BFO, BSA, Cuckoo, DE, EFO, FA, WDO). Evaluation metrics include PSNR, SSIM, FSIM, GCE, PRI, and VOI. Results demonstrate that TSR achieves superior segmentation quality, robust convergence behaviour, and faster execution, consistently outperforming competitors. Statistical validation using the Wilcoxon rank-sum test further confirms the significance of the improvements. © 2026 by the authors.

Keywords

Image Segmentation; Metaheuristic; Multilevel Thresholding Segmentation; Optimization; TSR