Defrise M, Townsend D, Geissbuhler A
Division of Nuclear Medicine, Vrije Universiteit Brussel, Belgium.
Phys Med Biol. 1990 Oct;35(10):1361-72. doi: 10.1088/0031-9155/35/10/002.
In view of the number of PET studies involving low count rate acquisitions, there has been increasing interest recently in the development of positron cameras capable of fully three-dimensional acquisition and reconstruction. This interest has given impetus to the study of algorithms for 3D reconstruction, including those algorithms suitable for application to multi-ring PET scanners. While 2D reconstruction methods can often be generalised to 3D, a number of implementation problems arise which are unique to the 3D approach. This paper examines some of the difficulties associated with the generalisation of the filtered backprojection algorithm to 3D, paying particular attention to the approximations and variable transformations required for application to data from a multi-ring scanner.
鉴于涉及低计数率采集的正电子发射断层扫描（PET）研究数量众多，近来人们对能够进行全三维采集和重建的正电子相机的开发越来越感兴趣。这种兴趣推动了三维重建算法的研究，包括适用于多环PET扫描仪的那些算法。虽然二维重建方法通常可以推广到三维，但会出现一些三维方法特有的实现问题。本文研究了将滤波反投影算法推广到三维所涉及的一些困难，特别关注应用于多环扫描仪数据所需的近似和变量变换。
