基于非凸L_(1-2)正则化的生物发光断层成像仿真研究

Simulation of Bioluminescence Tomography Based on Nonconvex L_(1-2) Regularization

生物发光断层成像(BLT)是一种低成本、高灵敏、具有巨大潜力的光学分子成像模态,高效稳定的重建算法是将其推向实用的关键。为克服BLT重建的高不适定性,提出了基于非凸L_(1-2)正则化的重建方法,采用凸差分算法来解决非凸泛函最小化问题,在每一步迭代中采用带自适应惩罚项的交替方向乘子法高效求解。为评估该方法的有效性和稳健性,设计了单光源和双光源数字鼠仿体实验,并与3个典型的重建算法进行对比,仿真实验结果表明,所提L_(1-2)正则化方法在不同光源设置下都得到了最准确的光源定位。

Bioluminescence tomography（BLT）is a promising optical imaging modality,which has the advantages of low cost and high sensitivity.Efficient and stable inverse algorithm is the key to push it into application.To overcome the high ill-posedness of the inverse problem of BLT,we propose a nonconvex L_（1-2） regularization based on reconstruction method. A convex difference algorithm is used to solve the involved nonconvex functional minimization problem.In each iteration,an alternating direction method of multiplier with adaptive penalty is adopted to solve the problem efficiently.Phantom experiments of single-source and double-source on a digital mouse model are designed to assess the effectiveness and robustness of the proposed method.Comparison study with three typical reconstruction algorithms is also conducted.Simulation results show that the reconstruction results using L_（1-2） regularization have the optimal location accuracy under different experimental settings.