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计算机断层扫描中的混叠伪影。

Aliasing artifacts in computerized tomography.

作者信息

Crawford C R, Kak A C

出版信息

Appl Opt. 1979 Nov 1;18(21):3704-11. doi: 10.1364/AO.18.003704.

Abstract

Streaking artifacts in tomographic images reconstructed by the filtered-backprojection algorithm are caused by aliasing errors in the projection data. To show this a computer simulation study was performed in which the transforms of undersampled projections were subtracted from the corresponding transforms when the projection data were taken with a very large number of rays. This yielded the aliased spectrum for the undersampled case. An image was reconstructed from the difference transforms. Streaks present in this image exactly matched those present in the undersampled reconstruction. (The number of projections used in this study was large enough to preclude any artifacts caused by their insufficient number.) We have derived a theoretical upper bound for the energy contained in these aliasing artifacts. In this paper we have also briefly touched upon the artifacts caused by other algorithmic aspects of a tomographic system.

摘要

通过滤波反投影算法重建的断层图像中的条纹伪影是由投影数据中的混叠误差引起的。为了证明这一点,进行了一项计算机模拟研究,在该研究中,当使用大量射线采集投影数据时,将欠采样投影的变换从相应的变换中减去。这产生了欠采样情况下的混叠频谱。从差值变换重建了一幅图像。该图像中出现的条纹与欠采样重建中出现的条纹完全匹配。(本研究中使用的投影数量足够多,以排除因数量不足而产生的任何伪影。)我们推导出了这些混叠伪影中所含能量的理论上限。在本文中,我们还简要提及了断层系统其他算法方面引起的伪影。

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