A transit search algorithm with chaotic map and local escape operator for multi-level threshold segmentation of spleen CT images

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2025-01-09 DOI:10.1016/j.apm.2025.115930
Chunzheng Li, Hao Liu
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Abstract

In response to the limitations of the Transit Search (TS) algorithm, such as slow convergence speed, susceptibility to local optima, and limited capability in handling complex optimization problems, this paper proposes an improved Transit Search algorithm based on chaotic map and a local escape operator (CLTS). The algorithm introduces chaos initialization in the initial stage to ensure more representative initial solutions. To enhance the efficiency of the transit phase, CLTS simplifies the process and improves the transit criteria with adaptive parameters. Additionally, CLTS introduces slime weight to improve convergence speed in the neighborhood phase. Finally, on the basis of the original exploitation stage, a local escape operator is introduced to effectively jump out of local optima and strike a balance between exploration and exploitation. Experimental results on both the CEC2017 and CEC2022 benchmark test sets demonstrate that the proposed CLTS algorithm achieves faster convergence speed and higher convergence accuracy compared to the TS algorithm and other advanced algorithms. Moreover, when combining CLTS with a denoising version of a multi-level threshold image segmentation model, it was applied for segmenting seven spleen CT images. The results indicate that CLTS is superior to the most advanced image segmentation algorithms in terms of convergence and segmentation effect.
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基于混沌映射和局部逃避算子的脾脏CT图像多级阈值分割中转搜索算法
针对Transit Search (TS)算法收敛速度慢、易受局部最优影响、处理复杂优化问题能力有限等局限性,提出了一种基于混沌映射和局部逃逸算子(CLTS)的改进Transit Search算法。该算法在初始阶段引入混沌初始化,使初始解更具代表性。为了提高过境阶段的效率,CLTS简化了过程,并使用自适应参数改进了过境准则。此外,CLTS还引入了黏液权值来提高邻域阶段的收敛速度。最后,在原有开采阶段的基础上,引入局部逃生算子,有效跳出局部最优,实现勘探与开采的平衡。在CEC2017和CEC2022基准测试集上的实验结果表明,与TS算法和其他先进算法相比,本文提出的CLTS算法具有更快的收敛速度和更高的收敛精度。此外,将CLTS与去噪版本的多级阈值图像分割模型相结合,对7张脾脏CT图像进行了分割。结果表明,CLTS在收敛性和分割效果方面都优于目前最先进的图像分割算法。
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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