{"title":"Image reconstruction method for segmental limited-angle CT based on coupled relative structure","authors":"Changcheng Gong , Qiang Song , Jianxun Liu","doi":"10.1016/j.apm.2025.116066","DOIUrl":null,"url":null,"abstract":"<div><div>Reducing scanning time or radiation doses is a primary demand in computed tomography (CT) imaging. Few-view CT and limited-angle CT are considered as two effective imaging ways to meet this demand. However, they both face different challenges in practical applications, such as difficulties in technical implementation and image reconstruction. This study focuses on a special imaging strategy called segmental limited-angle (SLA) CT, where the scanning angular range is composed of multiple segments. This strategy helps to avoid difficulties in technical implementation and reduces the complexity of CT reconstruction. However, SLA projections inherit the properties of limited-angle projections, and the reconstructed images may encounter pronounced shading artifacts. This paper proposes a reconstruction model based on coupled relative structure (CRS) and presents an algorithm to solve this model. The CRS method utilizes mutual structure features between the prior image and target image to guide image reconstruction, rather than relying solely on the prior image. To demonstrate its effectiveness, we conduct numerical simulation experiments and real CT data experiments. The reconstruction results indicate that the target image can inherit prior structures and keep away from reconstruction errors that may be introduced by inconsistent structures. Compared to other methods, the images reconstructed by our method are closer to the reference images.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116066"},"PeriodicalIF":4.4000,"publicationDate":"2025-03-07","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/S0307904X25001416","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
Reducing scanning time or radiation doses is a primary demand in computed tomography (CT) imaging. Few-view CT and limited-angle CT are considered as two effective imaging ways to meet this demand. However, they both face different challenges in practical applications, such as difficulties in technical implementation and image reconstruction. This study focuses on a special imaging strategy called segmental limited-angle (SLA) CT, where the scanning angular range is composed of multiple segments. This strategy helps to avoid difficulties in technical implementation and reduces the complexity of CT reconstruction. However, SLA projections inherit the properties of limited-angle projections, and the reconstructed images may encounter pronounced shading artifacts. This paper proposes a reconstruction model based on coupled relative structure (CRS) and presents an algorithm to solve this model. The CRS method utilizes mutual structure features between the prior image and target image to guide image reconstruction, rather than relying solely on the prior image. To demonstrate its effectiveness, we conduct numerical simulation experiments and real CT data experiments. The reconstruction results indicate that the target image can inherit prior structures and keep away from reconstruction errors that may be introduced by inconsistent structures. Compared to other methods, the images reconstructed by our method are closer to the reference images.
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.