An improved exact filtered backprojection algorithm for spiral computed tomography

An improved exact filtered backprojection algorithm for spiral computed tomography
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DOI:
10.1016/s0196-8858(03)00099-x
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发表时间:
2004-05-01
影响因子:
1.1
通讯作者:
Katsevich, A
Katsevich, A
中科院分区:
数学3区
文献类型:
--
作者:
Katsevich, A

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提出的是一种理论上确切的公式,用于通过具有二维检测器阵列的螺旋计算层析成像扫描获得的数据。检测器阵列在轴向方向上的程度有限。公式的主要属性是它可以以真正过滤的反向投影方式实现。首先,一个人对锥束投影的衍生物进行移位不变滤波,其次,结果是对后重新投影以形成图像的。与作者提出的较早的重建算法相比,新算法的速度更快,需要一个较小的检测器阵列,并且对患者在龙门龙内的大小没有施加限制。提出了数值实验的结果。 (c)2003 Elsevier Inc.保留所有权利。
Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography 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 back-projected in order to form an image. Compared with an earlier reconstruction algorithm proposed by the author, the new one is two times faster, requires a smaller detector array, and does not impose restrictions on how big the patient is inside the gantry. Results of numerical experiments are presented. (C) 2003 Elsevier Inc. All rights reserved.