{"title":"A transit search algorithm with chaotic map and local escape operator for multi-level threshold segmentation of spleen CT images","authors":"Chunzheng Li, Hao Liu","doi":"10.1016/j.apm.2025.115930","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"141 ","pages":"Article 115930"},"PeriodicalIF":4.4000,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25000058","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
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.
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.