协同自进化的粒子群优化算法及其在图像分割的应用
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吉林财经大学

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TP391.4;TP18

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吉林省科技发展计划项目(YDZJ202601ZYTS077)


Collaborative self-evolutionary particle swarm optimization algorithm and its application in image segmentation
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Jilin Province Science and Technology Development Program Project (YDZJ202601ZYTS077)

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    摘要:

    粒子群优化算法因其参数设置简单、收敛速度快等优点,被广泛应用于复杂优化问题的求解。然而,经典粒子群算法存在早熟收敛倾向与后期收敛速度减慢等局限性。本文提出了一种协同自进化的粒子群优化算法。算法采用一种新的双群协同进化策略用于提高求解收敛速度,同时为了平衡算法全局搜索和局部开发的寻优能力,本文提出了一个自进化框架,通过概率性带偏向的方向学习策略结合衰减性的混动扰动策略,有效提升了求解算法的整体性能。此外,本研究对算法边界理论进行了改进,提升了算法在大多数优化问题上的适应性。改进的算法在CEC-2017测试函数集上进行测试,验证了该算法在低、中高维复杂问题上的快速收敛能力和寻优性能。最后,将改进算法应用于多阈值图像分割的阈值求解问题,实验结果表明,改进算法有效提升了图像的分割精度和效率,验证了算法在解决现实优化问题的有效性。

    Abstract:

    Particle swarm optimization (PSO) has been widely applied to solving complex optimization problems due to its simple parameter settings and fast convergence speed. However, the classical PSO algorithm suffers from inherent limitations, such as premature convergence and slow convergence in the later stages. In this paper, a cooperative self-evolutionary particle swarm optimization algorithm is proposed. The proposed algorithm employs a novel dual-population cooperative co-evolution strategy to accelerate the convergence process. Meanwhile, to balance global exploration and local exploitation capabilities, a self-evolutionary framework is introduced, in which a probabilistic biased directional learning strategy is combined with a decaying hybrid perturbation mechanism, effectively enhancing the overall optimization performance. In addition, the boundary-handling mechanism of the algorithm is further improved, thereby increasing its adaptability across a wide range of optimization problems. The improved algorithm is evaluated on the CEC-2017 benchmark function sets, demonstrating its fast convergence behavior and superior optimization performance on low-, medium-, and high-dimensional complex problems. Finally, the proposed algorithm is applied to the threshold optimization problem in multilevel image segmentation. Experimental results show that the improved algorithm significantly enhances segmentation accuracy and efficiency, thus validating its effectiveness in solving real-world optimization problems.

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  • 收稿日期:2025-12-13
  • 最后修改日期:2026-02-15
  • 录用日期:2026-02-19
  • 在线发布日期: 2026-03-01
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