{"title":"Fluorescence molecular tomographic image reconstruction based on the wavelet-Schur decomposition","authors":"Wei Zou","doi":"10.1140/epjd/s10053-024-00826-6","DOIUrl":null,"url":null,"abstract":"<div><p>In image reconstruction for fluorescence molecular tomography (FMT), solving matrix equations of large scale can result in high computational costs. In this article, a method based on the wavelet-Schur decomposition is developed. In this method, the reconstruction problem for FMT is solved via the Schur decomposition in the wavelet domain. The proposed method can sufficiently explore the features of wavelet and Schur decomposition. The performance of convergence for reconstruction can be improved based on the proposed method. The results confirm that our method can improve the computational efficiency of reconstruction and achieve the high accuracy of reconstruction.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal D","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjd/s10053-024-00826-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In image reconstruction for fluorescence molecular tomography (FMT), solving matrix equations of large scale can result in high computational costs. In this article, a method based on the wavelet-Schur decomposition is developed. In this method, the reconstruction problem for FMT is solved via the Schur decomposition in the wavelet domain. The proposed method can sufficiently explore the features of wavelet and Schur decomposition. The performance of convergence for reconstruction can be improved based on the proposed method. The results confirm that our method can improve the computational efficiency of reconstruction and achieve the high accuracy of reconstruction.
期刊介绍：
The European Physical Journal D (EPJ D) presents new and original research results in:
Atomic Physics;
Molecular Physics and Chemical Physics;
Atomic and Molecular Collisions;
Clusters and Nanostructures;
Plasma Physics;
Laser Cooling and Quantum Gas;
Nonlinear Dynamics;
Optical Physics;
Quantum Optics and Quantum Information;
Ultraintense and Ultrashort Laser Fields.
The range of topics covered in these areas is extensive, from Molecular Interaction and Reactivity to Spectroscopy and Thermodynamics of Clusters, from Atomic Optics to Bose-Einstein Condensation to Femtochemistry.
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