This paper proposes a new sequential weighted least squares (SWLS) method for positron emission tomography (PET) reconstruction. The SWLS algorithm is noniterative and can be considered as equivalent to the penalized WLS (PWLS) method under certain initial conditions. However, a full implementation of SWLS is computationally intensive. To overcome this problem, we propose a simplified SWLS as a reasonable alternative to the SWLS. The performance of this SWLS method is evaluated in experiments using both simulated and clinical data. The results show that the method can be advantageously compared with the original SWLS both in computation time and reconstruction quality.

译文

:本文提出了一种用于正电子发射断层扫描(PET)重建的新的顺序加权最小二乘(SWLS)方法。 SWLS算法是非迭代的,在某些初始条件下可以视为等同于惩罚WLS(PWLS)方法。但是,SWLS的完整实现需要大量的计算。为了克服这个问题,我们提出了一种简化的SWLS作为SWLS的合理替代方案。使用模拟和临床数据在实验中评估此SWLS方法的性能。结果表明,该方法在计算时间和重建质量上均可以与原始SWLS进行比较。

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