An alternative solution to the nonuniform noise propagation problem in fan-beam FBP image reconstruction.
An alternative solution to the nonuniform noise propagation problem in fan-beam FBP image reconstruction.
复制标题
扇束 FBP 图像重建中非均匀噪声传播问题的替代解决方案。
DOI：
10.1118/1.2064807
复制
发表时间：
2005
期刊：
影响因子：
3.8
通讯作者：
Liang,Zhengrong
中科院分区：
文献类型：
--
作者：
Wang,Jing;Lu,Hongbing;Li,Tianfang;Liang,Zhengrong
研究发现，采用扇形波束滤波反投影（fFBP）算法（滤波步骤为斜坡，反投影步骤为线性插值）从平稳噪声投影数据重建图像的方差在整个视场范围内是不均匀的。这被认为是由fFBP重建公式中的距离依赖因素引起的。研究了滤波步骤中的移位滤波方法来解决fFBP中的非均匀噪声传播问题。在这项工作中，我们提出了一种替代解决方案，即在反向投影步骤中使用空间可变加权，而不是空间不变插值，同时保持均匀斜坡滤波。理论预测和经验确定的结果都一致并证明了所提出的替代解决方案的有效性。
It has been observed that the variances in reconstructed images from stationary noisy projection data by fan‐beam filtered backprojection (fFBP) algorithm with ramp in the filtering step and linear interpolation in the backprojection step are nonuniform across the field‐of‐view. This is believed to be caused by the distance‐dependent factor in the fFBP reconstruction formula. Shift‐variant filtration approach in the filtering step has been investigated to address the nonuniform noise propagation problem in fFBP. In this work, we present an alternative solution by the use of spatially variant weighting, instead of spatially invariant interpolation, in the backprojection step, while maintaining the homogeneous ramp filtering. Both theoretically predicted and empirically determined results concur and demonstrate the effectiveness of the presented alternative solution.
影响因子：
3.8
作者：
Xiaochuan Pan
通讯作者：
Xiaochuan Pan