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首页> 外文会议>Developments in X-Ray Tomography IV >A cone-beam FBP reconstruction algorithm for short-scan and super-short-scan source trajectories
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A cone-beam FBP reconstruction algorithm for short-scan and super-short-scan source trajectories

机译：用于短扫描和超短扫描源轨迹的锥束FBP重建算法

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摘要

Conventionally, the FDK algorithm is used to reconstruct images from cone-beam projections in many imaging systems. One advantage of this algorithm is its shift-invariant feature in the filtering process. In this paper, a new cone-beam reconstruction algorithm is derived for a single arc source trajectory. Examples of the arc trajectory include the full circular scan mode, a short-scan mode and a super-short-scan mode depending upon the angular range of the scanning path. Since the single arc does not satisfy Tuy's data sufficiency condition, there is no mathematically exact algorithm. However, one advantage of this reconstruction is that the shift-invariance property has been preserved despite the lack of a mathematically complete data set. The new algorithm includes backprojactions from three adjacent segments of the arc defined by T_1(x), T_2(x) and T_3(x). Each backprojection step consists of a weighted combination of 1D Hilbert filtering of the modified cone-beam data along horizontal and non-horizontal directions. The non-horizontal filtering is a new feature of this FBP algorithm. For the full circle scanning path, this algorithm reduces to the conventional FDK algorithm plus a term involving a first order derivative filter. Numerical simulations have been performed to validate the algorithm.
机译：传统上，在许多成像系统中，FDK算法用于从锥束投影中重建图像。该算法的一个优点是它在滤波过程中的位移不变特性。本文针对单弧源轨迹推导了一种新的锥束重建算法。弧形轨迹的示例包括全圆形扫描模式，短扫描模式和超短扫描模式，这取决于扫描路径的角度范围。由于单弧不满足Tuy的数据充分性条件，因此没有数学上精确的算法。然而，这种重建的一个优点是尽管缺乏数学上完整的数据集，但仍保留了平移不变性。新算法包括由T_1（x），T_2（x）和T_3（x）定义的三个相邻弧段的反向投影。每个反投影步骤均包括沿水平和非水平方向对修改后的锥束数据进行一维希尔伯特滤波的加权组合。非水平滤波是此FBP算法的新功能。对于全圆扫描路径，此算法简化为常规FDK算法，再加上涉及一阶导数滤波器的项。进行了数值模拟以验证算法。

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