In a positron emission tomography (PET) scanner, the time-of-flight (TOF) information gives us rough event position along the line-of-response (LOR). Using the TOF information for PET image reconstruction is able to reduce image noise. The state-of-the-art TOF PET image reconstruction uses iterative algorithms. This study introduces an analytic TOF PET algorithm that focuses on three-dimensional (3D) reconstruction. The proposed algorithm is in the form of backprojection filtering, in which the backprojection is performed first by using a time-resolution profile function, and then a 3D filter is applied to the backprojected image. For the list-mode data, the backprojection is carried out in the event-by-event fashion, and the timing resolution determined weighting function is used along the projection LOR. Computer simulations are carried out to verify the feasibility of the proposed algorithm.

中文翻译：

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飞行时间分析正电子发射断层扫描重建：三维情况。

在正电子发射断层扫描（PET）扫描仪中，飞行时间（TOF）信息为我们提供了沿响应线（LOR）的大致事件位置。使用TOF信息进行PET图像重建可以减少图像噪声。最新的TOF PET图像重建使用迭代算法。这项研究介绍了一种专注于三维（3D）重建的解析TOF PET算法。所提出的算法采用反投影滤波的形式，其中首先通过使用时间分辨率轮廓函数执行反投影，然后将3D滤波器应用于反投影图像。对于列表模式数据，以逐个事件的方式执行反投影，并且沿投影LOR使用时序分辨率确定的加权函数。