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基于离散余弦变换正则化的荧光分子断层成像重建

Fluorescence molecular tomography reconstruction via discrete cosine transform-based regularization.

作者信息

Shi Junwei, Liu Fei, Zhang Jiulou, Luo Jianwen, Bai Jing

机构信息

Tsinghua University, Department of Biomedical Engineering, School of Medicine, Haidian District, Beijing 100084, China.

Tsinghua University, Department of Biomedical Engineering, School of Medicine, Haidian District, Beijing 100084, ChinabTsinghua University, Tsinghua-Peking Center for Life Sciences, School of Medicine, Haidian District, Beijing 100084, China.

出版信息

J Biomed Opt. 2015 May;20(5):55004. doi: 10.1117/1.JBO.20.5.055004.

DOI:10.1117/1.JBO.20.5.055004
PMID:25970083
Abstract

Fluorescence molecular tomography (FMT) as a noninvasive imaging modality has been widely used for biomedical preclinical applications. However, FMT reconstruction suffers from severe ill-posedness, especially when a limited number of projections are used. In order to improve the quality of FMT reconstruction results, a discrete cosine transform (DCT) based reweighted L1-norm regularization algorithm is proposed. In each iteration of the reconstruction process, different reweighted regularization parameters are adaptively assigned according to the values of DCT coefficients to suppress the reconstruction noise. In addition, the permission region of the reconstructed fluorophores is adaptively constructed to increase the convergence speed. In order to evaluate the performance of the proposed algorithm, physical phantom and in vivo mouse experiments with a limited number of projections are carried out. For comparison, different L1-norm regularization strategies are employed. By quantifying the signal-to-noise ratio (SNR) of the reconstruction results in the phantom and in vivo mouse experiments with four projections, the proposed DCT-based reweighted L1-norm regularization shows higher SNR than other L1-norm regularizations employed in this work.

摘要

荧光分子断层成像(FMT)作为一种非侵入性成像方式,已广泛应用于生物医学临床前应用。然而,FMT重建存在严重的不适定性,尤其是在使用有限数量投影的情况下。为了提高FMT重建结果的质量,提出了一种基于离散余弦变换(DCT)的重新加权L1范数正则化算法。在重建过程的每次迭代中,根据DCT系数的值自适应地分配不同的重新加权正则化参数,以抑制重建噪声。此外,自适应地构建重建荧光团的允许区域,以提高收敛速度。为了评估所提算法的性能,进行了有限数量投影的物理体模和体内小鼠实验。为作比较,采用了不同的L1范数正则化策略。通过量化在具有四个投影的体模和体内小鼠实验中重建结果的信噪比(SNR),所提基于DCT的重新加权L1范数正则化显示出比本工作中使用的其他L1范数正则化更高的SNR。

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