Studies on Palamodov's algorithm for cone-beam CT along a general curve
Studies on Palamodov's algorithm for cone-beam CT along a general curve
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DOI：
10.1088/0266-5611/22/2/004
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发表时间：
2006-04-01
期刊：
影响因子：
2.1
通讯作者：
Wang, G
中科院分区：
文献类型：
--
作者：
Yu, HY;Ye, YB;Wang, G
受Katsevich精确的螺旋锥束公式的启发，Palamodov首次尝试从沿一般扫描轨迹[1]收集的锥束数据进行精确的图像重建。与Tuy、Smith、Grangeat和Katsevich分别提出的众所周知的一般精确锥梁重建方案相比，Palamodov的算法旨在处理截断的数据，并且不需要指定任何加权函数。本文对Palamodov的公式进行了重新表述，并与Katsevich的螺旋锥梁公式进行了比较，发现Palamodov的算法由于估计不准确，在理论上并不精确。然后，利用平面探测器阵列对其进行了数值实现，并模拟了以非标准鞍形曲线为扫描轨迹的锥束CT的情况。重建结果表明，在一般锥形波束扫描情况下，Palamodov算法是一种有吸引力的近似锥形波束重建算法。
Inspired by Katsevich's exact helical cone-beam formula, Palamodov made the first attempt to perform exact image reconstruction from cone-beam data collected along a general scanning trajectory [1]. In contrast to the well-known general exact cone-beam reconstruction schemes formulated by Tuy, Smith, Grangeat and Katsevich, respectively, Palamodov's algorithm was intended to work with truncated data and without the need to specify any weighting function. In this paper, after reformulating Palamodov's formula and comparing it with Katsevich's helical cone-beam formula, we find that Palamodov's algorithm is not theoretically exact due to an inaccurate estimate. Then, we numerically implement it using a planar detector array and simulate the case of cone-beam CT with a nonstandard saddle curve as the scanning trajectory. The reconstruction results suggest that Palamodov's algorithm is an attractive algorithm for approximate cone-beam reconstruction in the case of general cone-beam scanning.