Zhang Guanglei, He Wei, Pu Huangsheng, Liu Fei, Chen Maomao, Bai Jing, Luo Jianwen
Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China ; Department of Biomedical Engineering, School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China ;
China Institute of Sport Science, Beijing 100061, China.
Biomed Opt Express. 2015 May 8;6(6):2036-55. doi: 10.1364/BOE.6.002036. eCollection 2015 Jun 1.
Dynamic fluorescence molecular tomography (FMT) is an attractive imaging technique for three-dimensionally resolving the metabolic process of fluorescent biomarkers in small animal. When combined with compartmental modeling, dynamic FMT can be used to obtain parametric images which can provide quantitative pharmacokinetic information for drug development and metabolic research. However, the computational burden of dynamic FMT is extremely huge due to its large data sets arising from the long measurement process and the densely sampling device. In this work, we propose to accelerate the reconstruction process of dynamic FMT based on principal component analysis (PCA). Taking advantage of the compression property of PCA, the dimension of the sub weight matrix used for solving the inverse problem is reduced by retaining only a few principal components which can retain most of the effective information of the sub weight matrix. Therefore, the reconstruction process of dynamic FMT can be accelerated by solving the smaller scale inverse problem. Numerical simulation and mouse experiment are performed to validate the performance of the proposed method. Results show that the proposed method can greatly accelerate the reconstruction of parametric images in dynamic FMT almost without degradation in image quality.
动态荧光分子断层扫描(FMT)是一种用于三维解析小动物体内荧光生物标志物代谢过程的极具吸引力的成像技术。当与房室模型相结合时,动态FMT可用于获取参数图像,这些图像可为药物开发和代谢研究提供定量药代动力学信息。然而,由于动态FMT在长时间测量过程和密集采样设备中产生大量数据集,其计算负担极其巨大。在这项工作中,我们提出基于主成分分析(PCA)加速动态FMT的重建过程。利用PCA的压缩特性,通过仅保留少数能够保留子权重矩阵大部分有效信息的主成分,来减少用于求解反问题的子权重矩阵的维度。因此,通过求解规模较小的反问题,可以加速动态FMT的重建过程。进行了数值模拟和小鼠实验以验证所提方法的性能。结果表明,所提方法几乎不会降低图像质量,却能极大地加速动态FMT中参数图像的重建。