Reconstruction algorithms based on l1-norm and l2-norm for two imaging models of fluorescence molecular tomography: a comparative study

Hungjian Yi; Duofang Chen; Wei Li; Shouping Zhu; Xiaorui Wang; Jimin Liang; Jie Tian

doi:10.1117/1.JBO.18.5.056013

30 May 2013 Reconstruction algorithms based on l1-norm and l2-norm for two imaging models of fluorescence molecular tomography: a comparative study

Hungjian Yi, Duofang Chen, Wei Li, Shouping Zhu, Xiaorui Wang, Jimin Liang, Jie Tian

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Journal of Biomedical Optics, Vol. 18, Issue 5, 056013 (May 2013). https://doi.org/10.1117/1.JBO.18.5.056013

Abstract

Fluorescence molecular tomography (FMT) is an important imaging technique of optical imaging. The major challenge of the reconstruction method for FMT is the ill-posed and underdetermined nature of the inverse problem. In past years, various regularization methods have been employed for fluorescence target reconstruction. A comparative study between the reconstruction algorithms based on l₁ -norm and l ₂ -norm for two imaging models of FMT is presented. The first imaging model is adopted by most researchers, where the fluorescent target is of small size to mimic small tissue with fluorescent substance, as demonstrated by the early detection of a tumor. The second model is the reconstruction of distribution of the fluorescent substance in organs, which is essential to drug pharmacokinetics. Apart from numerical experiments, in vivo experiments were conducted on a dual-modality FMT/micro-computed tomography imaging system. The experimental results indicated that l₁norm regularization is more suitable for reconstructing the small fluorescent target, while l ₂-norm regularization performs better for the reconstruction of the distribution of fluorescent substance.

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Hungjian Yi, Duofang Chen, Wei Li, Shouping Zhu, Xiaorui Wang, Jimin Liang, and Jie Tian "Reconstruction algorithms based on l1-norm and l2-norm for two imaging models of fluorescence molecular tomography: a comparative study," Journal of Biomedical Optics 18(5), 056013 (30 May 2013). https://doi.org/10.1117/1.JBO.18.5.056013

Published: 30 May 2013

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