Huiying Pan , Xu Jiang , Ligen Shi , Wei Zhang , Xing Zhao
{"title":"一种新的基于谱窗分析迭代技术的快速光谱计算机断层扫描重建方法","authors":"Huiying Pan , Xu Jiang , Ligen Shi , Wei Zhang , Xing Zhao","doi":"10.1016/j.optlaseng.2025.108935","DOIUrl":null,"url":null,"abstract":"<div><div>Spectral X-ray computed tomography (SCT) has been widely applied in both industrial non-destructive testing and medical diagnosis. SCT reconstruction can be summarized as solving ill-conditioned large sparse nonlinear systems. This work aims to develop a spectral windowed analytical iterative technique (SWAIT) for SCT reconstruction, enhancing both image quality and reconstruction efficiency. A special window function is derived mathematically, and it varies with the number of iterations, X-ray spectrum, basis material images and mass attenuation coefficients. The window function follows the frequency principle “from low to high”, and the dynamic window function can achieve global minimizers. Simulation and real data experiments validate that the proposed method converges quickly, retains effective high-frequency information, suppresses noise, and reduces the propagation of decomposition errors in the image domain. The results demonstrate that the electron density errors of reconstructed water are less than 5%, and those of PET and glass are less than 3%, which shows significant practical potential.</div></div>","PeriodicalId":49719,"journal":{"name":"Optics and Lasers in Engineering","volume":"189 ","pages":"Article 108935"},"PeriodicalIF":3.5000,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A novel fast spectral computed tomography reconstruction method with spectral windowed analytical iterative technique\",\"authors\":\"Huiying Pan , Xu Jiang , Ligen Shi , Wei Zhang , Xing Zhao\",\"doi\":\"10.1016/j.optlaseng.2025.108935\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Spectral X-ray computed tomography (SCT) has been widely applied in both industrial non-destructive testing and medical diagnosis. SCT reconstruction can be summarized as solving ill-conditioned large sparse nonlinear systems. This work aims to develop a spectral windowed analytical iterative technique (SWAIT) for SCT reconstruction, enhancing both image quality and reconstruction efficiency. A special window function is derived mathematically, and it varies with the number of iterations, X-ray spectrum, basis material images and mass attenuation coefficients. The window function follows the frequency principle “from low to high”, and the dynamic window function can achieve global minimizers. Simulation and real data experiments validate that the proposed method converges quickly, retains effective high-frequency information, suppresses noise, and reduces the propagation of decomposition errors in the image domain. The results demonstrate that the electron density errors of reconstructed water are less than 5%, and those of PET and glass are less than 3%, which shows significant practical potential.</div></div>\",\"PeriodicalId\":49719,\"journal\":{\"name\":\"Optics and Lasers in Engineering\",\"volume\":\"189 \",\"pages\":\"Article 108935\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2025-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics and Lasers in Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0143816625001228\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics and Lasers in Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0143816625001228","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
A novel fast spectral computed tomography reconstruction method with spectral windowed analytical iterative technique
Spectral X-ray computed tomography (SCT) has been widely applied in both industrial non-destructive testing and medical diagnosis. SCT reconstruction can be summarized as solving ill-conditioned large sparse nonlinear systems. This work aims to develop a spectral windowed analytical iterative technique (SWAIT) for SCT reconstruction, enhancing both image quality and reconstruction efficiency. A special window function is derived mathematically, and it varies with the number of iterations, X-ray spectrum, basis material images and mass attenuation coefficients. The window function follows the frequency principle “from low to high”, and the dynamic window function can achieve global minimizers. Simulation and real data experiments validate that the proposed method converges quickly, retains effective high-frequency information, suppresses noise, and reduces the propagation of decomposition errors in the image domain. The results demonstrate that the electron density errors of reconstructed water are less than 5%, and those of PET and glass are less than 3%, which shows significant practical potential.
期刊介绍:
Optics and Lasers in Engineering aims at providing an international forum for the interchange of information on the development of optical techniques and laser technology in engineering. Emphasis is placed on contributions targeted at the practical use of methods and devices, the development and enhancement of solutions and new theoretical concepts for experimental methods.
Optics and Lasers in Engineering reflects the main areas in which optical methods are being used and developed for an engineering environment. Manuscripts should offer clear evidence of novelty and significance. Papers focusing on parameter optimization or computational issues are not suitable. Similarly, papers focussed on an application rather than the optical method fall outside the journal''s scope. The scope of the journal is defined to include the following:
-Optical Metrology-
Optical Methods for 3D visualization and virtual engineering-
Optical Techniques for Microsystems-
Imaging, Microscopy and Adaptive Optics-
Computational Imaging-
Laser methods in manufacturing-
Integrated optical and photonic sensors-
Optics and Photonics in Life Science-
Hyperspectral and spectroscopic methods-
Infrared and Terahertz techniques