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多层正电子发射断层扫描仪三维重建算法的评估

Evaluation of a 3D reconstruction algorithm for multi-slice PET scanners.

作者信息

Cherry S R, Dahlbom M, Hoffman E J

机构信息

Division of Nuclear Medicine and Biophysics, UCLA School of Medicine 90024.

出版信息

Phys Med Biol. 1992 Mar;37(3):779-90. doi: 10.1088/0031-9155/37/3/020.

Abstract

A fully 3D reconstruction algorithm based on filtered backprojection was evaluated for the reconstruction of data obtained with multi-slice positron emission tomography (PET) scanners which have had the septa removed. This algorithm uses forward-projection through the reconstructed images of a 2D subset of the data to complete the 3D dataset thus satisfying the condition of shift invariance. This is followed by 3D filtered backprojection. Axial sampling was doubled by combining adjacent polar angles, thus improving reconstructed axial resolution. The algorithm was tested using real and simulated datasets and gave high quality reconstructions without artifacts over a wide range of imaging conditions. Events are placed accurately throughout the imaging volume as determined by measurements with a MRI/PET registration phantom. The forward-projection step leads to degradation in image resolution due to insufficient axial and transaxial sampling. This effect is amplified if multiple iterations of the algorithm are used, with little decrease in image noise. Changing the filter employed in the initial 2D reconstruction can be used to alter the noise and resolution characteristics of the 3D images. This algorithm has proved very robust at reconstructing 3D PET data and is relatively fast. Those small problems which exist can be attributed to detector sampling problems, especially in the axial direction, which is a consequence of the geometry of these scanners, which are designed primarily for 2D data acquisition.

摘要

一种基于滤波反投影的全三维重建算法被用于重建通过移除隔板的多层正电子发射断层扫描(PET)扫描仪获得的数据。该算法通过对数据的二维子集的重建图像进行前向投影来完成三维数据集,从而满足平移不变性条件。接下来进行三维滤波反投影。通过组合相邻极角使轴向采样加倍,从而提高重建的轴向分辨率。该算法使用真实和模拟数据集进行了测试,并在广泛的成像条件下给出了无伪影的高质量重建结果。通过使用MRI/PET配准体模进行测量确定,事件在整个成像体积中被准确放置。由于轴向和横向采样不足,前向投影步骤会导致图像分辨率下降。如果使用该算法的多次迭代,这种影响会被放大,而图像噪声几乎没有降低。改变初始二维重建中使用的滤波器可用于改变三维图像的噪声和分辨率特性。该算法在重建三维PET数据方面已被证明非常稳健且相对快速。存在的那些小问题可归因于探测器采样问题,特别是在轴向方向,这是这些主要为二维数据采集设计的扫描仪的几何结构所导致的结果。

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