Image reconstruction and scan configurations enabled by optimization-based algorithms in multispectral CT.

Image reconstruction and scan configurations enabled by optimization-based algorithms in multispectral CT.
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DOI:
10.1088/1361-6560/aa8a4b
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发表时间:
2017-11-02
影响因子:
3.5
通讯作者:
Pan X
Pan X
中科院分区:
工程技术2区
文献类型:
--
作者:
Chen B;Zhang Z;Sidky EY;Xia D;Pan X

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基于优化的多光谱(或光子计数)计算机断层扫描(MCT)图像重建算法仍然是一个积极的研究课题。MCT中基于优化的图像重建的挑战源于固有的非线性数据模型,其可能导致非凸优化程序,对于该非凸优化程序,似乎不存在用于实现全局最优解的数学精确求解器。在工作中,基于非线性数据模型,我们设计了一个非凸优化程序,推导出其一阶最优性条件,并提出了一个算法来解决该程序的图像重建中的MCT。除了考虑标准扫描配置的图像重建,重点的工作是调查算法的潜力,使非标准扫描配置没有或最小的硬件修改现有的CT系统,这可能是潜在的实际影响,降低硬件成本,增强扫描的灵活性,并减少成像剂量/时间在MCT。数值研究进行验证的算法及其实施,并初步演示和表征的算法重建图像,并在使非标准配置与不同的扫描角度范围和/或X射线照射覆盖MCT。
Optimization-based algorithms for image reconstruction in multi-spectral (or photon-counting) computed tomography (MCT) remains a topic of active research. The challenge of optimization-based image reconstruction in MCT stems from the inherently non-linear data model that can lead to a non-convex optimization program for which no mathematically exact solver seems to exist for achieving globally optimal solutions. In the work, based upon a non-linear data model, we design a non-convex optimization program, derive its first-order-optimality conditions, and propose an algorithm to solve the program for image reconstruction in MCT. In addition to consideration of image reconstruction for standard scan configuration, an emphasis of the work is on investigating the algorithm’s potential for enabling non-standard scan configurations with no or minimum hardware modification to existing CT systems, which can be of potential practical implications for lowered hardware cost, enhanced scanning flexibility, and reduced imaging dose/time in MCT. Numerical studies are carried out for verification of the algorithm and its implementation, and for a preliminary demonstration and characterization of the algorithm in reconstructing images and in enabling non-standard configurations with varying scanning angular range and/or X-ray illumination coverage in MCT.
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