结合低秩填充与流形正则的荧光分子重建  

Light source reconstruction method in fluorescence molecular tomography based on low rank matrix completion and manifold regularization

作　　者：张文元 ZHANG Wenyuan(School of Aviation Maintenance Engineering,Xi’an Aeronautical Polytechnic Institute,Xi'an 710089,China)

机构地区：[1]西安航空职业技术学院航空维修工程学院,陕西西安710089

出　　处：《光学技术》2021年第5期530-536,共7页Optical Technique

摘　　要：荧光分子断层成像技术的逆问题有严重的病态性,对噪声影响非常敏感,为提高荧光基团的重建精度,提出将低秩填充与流形正则模型结合的荧光分子断层重建方法,来抑制噪声对逆问题重建的影响。方法能利用更多的先验信息,在利用荧光基团能量分布的聚集性的基础上,还能够同时利用生物外表面荧光分布的低秩性。通过低秩填充算法对外表面观测矩阵进行抑噪处理,来利用外表面观测矩阵低秩性的先验信息;通过流形正则模型来利用重建光源聚集性的先验信息,最终实现逆问题重建的精度的改善。同时设计了多组数字鼠实验,结果表明结合低秩矩阵填充与流形正则模型的FMT逆问题的重建结果取得了明显的改善。The inverse problem of fluorescence molecular tomography is seriously ill-posed and very sensitive to noise.In order to improve the accuracy of targeted fluorophore,a reconstruction method is proposed combining a low rank matrix completion algorithm with manifold regularization to suppress noise.More priori information is utilized to improve the reconstruction results of inverse problem.In the proposed method,both the low-rank attribute of the observation matrix and the target aggregation of the reconstructed light source were used to improve the accuracy of the inverse problem reconstruction.The low rank matrix completion algorithm was employed to suppress the background fluorescence;the manifold regular model was employed to get a more aggregate and accurate solution.Finally,accuracy of the reconstruction results were improved by this mean.To validate the proposed method,numerical experiments were conducted.The experiment results demonstrated that the inverse problem reconstruction results were improved greatly in aggregation and accuracy.

关 键 词：生物光学 低秩矩阵填充 流形正则 逆问题 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]