Theoretically exact filtered backprojection-type inversion algorithm for spiral CT
Theoretically exact filtered backprojection-type inversion algorithm for spiral CT
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DOI：
10.1137/s0036139901387186
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发表时间：
2002-08-02
影响因子：
1.9
通讯作者：
Katsevich, A
中科院分区：
文献类型：
--
作者：
Katsevich, A
提出了一个理论上精确的公式，用于用二维探测器阵列进行螺旋CT扫描所获得的数据的反演。探测器阵列应该在轴向方向上具有有限的范围。该公式的主要属性是它可以以真正的滤波反投影方式实现。首先，对锥束投影的导数执行平移不变滤波，其次，对结果进行反投影以形成图像。另一个性质是该公式解决了所谓的长对象问题。该算法的局限性进行了讨论。数值实验的结果。
Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography ( CT) scan with a two- dimensional detector array. The detector array is supposed to be of limited extent in the axial direction. The main property of the formula is that it can be implemented in a truly filtered backprojection fashion. First, one performs shift- invariant filtering of a derivative of the cone beam projections, and, second, the result is backprojected in order to form an image. Another property is that the formula solves the so- called long object problem. Limitations of the algorithm are discussed. Results of numerical experiments are presented.