Simultaneous Activity and Attenuation Estimation in TOF-PET With TV-Constrained Nonconvex Optimization
Simultaneous Activity and Attenuation Estimation in TOF-PET With TV-Constrained Nonconvex Optimization
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DOI：
10.1109/tmi.2024.3365302
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发表时间：
2024-06-01
影响因子：
10.6
通讯作者：
Pan，Xiaochuan
中科院分区：
文献类型：
--
作者：
Ren，Zhimei;Sidky，Emil Y.;Pan，Xiaochuan
针对非光滑双凸成像反问题的优化问题，提出了一种交替方向乘子法框架。特别地，在采用最大似然估计（MLE）时，飞行时间正电子发射断层扫描（TOF-PET）中的活性和衰减（SAA）的同时估计问题具有这样的结构。将ADMM框架应用于TOF-PET中SAA的MLE，得到ADMM-SAA算法。该算法通过对活性和衰减图施加总变差（TV）约束来扩展，从而得到ADMM-TVSAA算法。该算法的性能示出使用惩罚最大似然活动和衰减估计（P-MLAA）算法作为参考。
An alternating direction method of multipliers (ADMM) framework is developed for nonsmooth biconvex optimization for inverse problems in imaging. In particular, the simultaneous estimation of activity and attenuation (SAA) problem in time-of-flight positron emission tomography (TOF-PET) has such a structure when maximum likelihood estimation (MLE) is employed. The ADMM framework is applied to MLE for SAA in TOF-PET, resulting in the ADMM-SAA algorithm. This algorithm is extended by imposing total variation (TV) constraints on both the activity and attenuation map, resulting in the ADMM-TVSAA algorithm. The performance of this algorithm is illustrated using the penalized maximum likelihood activity and attenuation estimation (P-MLAA) algorithm as a reference.