A two-step Hilbert transform method for 2D image reconstruction
A two-step Hilbert transform method for 2D image reconstruction
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DOI：
10.1088/0031-9155/49/17/006
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发表时间：
2004-09-07
影响因子：
3.5
通讯作者：
Pack, JD
中科院分区：
文献类型：
--
作者：
Noo, F;Clackdoyle, R;Pack, JD
本文提出了一种新的精确二维图像重建方法，该方法分为两个步骤。第一步，对平行投影数据求导后形成反投影图像。在第二步中，希尔伯特滤波沿着微分反向投影（DBP）图像中的某些线应用。给出了在扇形波束几何中执行DBP步骤的公式。这种两步希尔伯特变换方法的优点是，在某些情况下，可以从截断的投影数据重建感兴趣区域（roi）。仿真结果表明，与标准滤波后的反投影相比，新方法的重建图像质量非常相似，并且能够正确处理截断投影。特别地，提出了一个宽病人的模拟，其投影被横向截断，但获得了高精度的ROI重建。
The paper describes a new accurate two-dimensional (2D) image reconstruction method consisting of two steps. In the first step, the backprojected image is formed after taking the derivative of the parallel projection data. In the second step, a Hilbert filtering is applied along certain lines in the differentiated backprojection (DBP) image. Formulae for performing the DBP step in fan-beam geometry are also presented. The advantage of this two-step Hilbert transform approach is that in certain situations, regions of interest (ROIs) can be reconstructed from truncated projection data. Simulation results are presented that illustrate very similar reconstructed image quality using the new method compared to standard filtered backprojection, and that show the capability to correctly handle truncated projections. In particular, a simulation is presented of a wide patient whose projections are truncated laterally yet for which highly accurate ROI reconstruction is obtained.