A fast method to emulate an iterative POCS image reconstruction algorithm.
A fast method to emulate an iterative POCS image reconstruction algorithm.
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DOI：
10.1002/mp.12169
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发表时间：
2017-10
期刊：
影响因子：
3.8
通讯作者：
Zeng GL
中科院分区：
文献类型：
--
作者：
Zeng GL
迭代图像重建算法通常用于优化目标函数，特别是当目标函数为非二次函数时。一般而言，迭代算法的计算效率较低。提出了一种只有一次反投影、无正向投影的快速算法。本文给出了一种求解优化问题的特殊方法。非二次约束，例如，保持边缘的去噪约束被实现为非线性滤波器。该算法是基于POCS(投影到凸集的投影)方法得到的。加窗FBP(滤波反投影)算法增强了数据的保真度。迭代过程被分成多个段，执行边缘增强去噪。每个片段执行非线性滤波。推导出的迭代算法具有计算效率高的特点。它只包含一个反投影，不包含正投影。低剂量CT数据用于算法可行性研究。非线性被实现为边缘增强噪声平滑滤波。患者研究结果表明，该方法在处理低剂量X射线CT数据方面是有效的。这种快速算法可以用来代替许多迭代算法。
Iterative image reconstruction algorithms are commonly used to optimize an objective function, especially when the objective function is non-quadratic. Generally speaking, the iterative algorithms are computationally inefficient. This paper presents a fast algorithm that has one backprojection and no forward projection. This paper derives an ad hoc method to solve an optimization problem. The non-quadratic constraint, for example, an edge-preserving de-noising constraint is implemented as a non-linear filter. The algorithm is derived based on the POCS (projections onto projections onto convex sets) approach. A windowed FBP (filtered backprojection) algorithm enforces the data fidelity. An iterative procedure, divided into segments, enforces edge-enhancement denoising. Each segment performs non-linear filtering. The derived iterative algorithm is computationally efficient. It contains only one backprojection and no forward projection. Low-dose CT data are used for algorithm feasibility studies. The non-linearity is implemented as an edge-enhancing noise-smoothing filter. The patient studies results demonstrate its effectiveness in processing low-dose x-ray CT data. This fast algorithm can be used to replace many iterative algorithms.
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影响因子：
3.8
作者：
Zeng, Gengsheng L.
通讯作者：
Zeng, Gengsheng L.
影响因子：
3.8
作者：
Zeng, Gengsheng L.;Zamyatin, Alex
通讯作者：
Zamyatin, Alex
影响因子：
1.8
作者：
Zeng GL
通讯作者：
Zeng GL
影响因子：
3.5
作者：
Zeng GL;Li Y;Zamyatin A
通讯作者：
Zamyatin A
DOI：
10.1109/tassp.1979.1163188
发表时间：
1979-01-01
期刊：
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING
影响因子：
--
作者：
HUANG, TS;YANG, GJ;TANG, GY
通讯作者：
TANG, GY