Evaluation And Application Of Reprojection Methods For 3D PET

1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference Pub Date : 1993-10-31 DOI:10.1109/NSSMIC.1993.701818

T. M. Guerrero, Y. Tai, A. Chatziioannou, D. Yu, S. Huang, M. Dahlbom, E. Hoffman

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引用次数: 2

Abstract

This paper reviews the various methods of sinogram calculation or reprojection and those appropriate for 3D PET. Then a rapid calculation method that utilizes the 8fold 2D symmetry of the PET data for single sinogram calculations is introduced to 3D. Two ray-tracing methods that differ in their model of the voxel are implemented and their speed-up measured using the rapid calculation method. The first voxel model assumes parallelepiped shaped discrete voxels and the second model approximates the data as a sampled continuous distribution. The two ray-tracing methods of reprojection are compared on phantom data for their resolution loss and sampling error. Each method is applied to the problem of attenuation correction factor calculation, both 3D from regions of interest geometry data and 3D from 2D, then compared with measured attenuation correction data. Due to its simplicity and speed the parallelepiped voxel method is recommended for use in 3D PET algorithms and the associated error is characterized.

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三维PET重投影方法的评价与应用

本文综述了各种正弦图计算或重投影的方法，以及适用于三维PET的方法。然后将利用PET数据的8倍二维对称性进行单次正弦图计算的快速计算方法引入三维。实现了两种不同体素模型的光线追踪方法，并使用快速计算方法测量了它们的加速。第一个体素模型假设平行六面体形状的离散体素，第二个模型将数据近似为采样的连续分布。比较了两种重投影光线跟踪方法在幻像数据上的分辨率损失和采样误差。将每种方法分别应用于感兴趣区域几何数据的三维和二维衰减校正系数的三维计算问题，并与实测衰减校正数据进行比较。由于平行六面体素方法的简单和快速，被推荐用于三维PET算法，并对相关误差进行了表征。

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1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference

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