On Analytical Solutions to Beam-Hardening
On Analytical Solutions to Beam-Hardening
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光束硬化的解析解
DOI：
10.1007/s11220-016-0153-4
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发表时间：
2017
影响因子：
2.2
通讯作者：
G. Rigaud
中科院分区：
文献类型：
--
作者：
G. Rigaud
当多色X射线通过材料传播时，例如在计算机断层扫描（CT）中，低能量光子被更多地衰减，从而导致“更硬”的光束。射束硬化现象破坏了基于Radon变换的单色辐射模型，从而在CT重建中产生伪影，从而损害视觉检查和自动分割算法。我们首先提出一个简化的解析表示的射束硬化。除了提供一个一般的理解的现象，这个模型提出了反转的光束硬化效应均匀的对象，导致经典的单色数据。对于异质对象，没有更多的先验信息，不能得到密度的解析重建。然而，波束硬化被示出为对数据的平滑操作，从而保留数据内的衰减图的奇异性的编码。微局部分析鼓励使用轮廓提取方法来解决部分的射束硬化效应，即使是异构对象。通过对真实的数据的分析，证明了这两种方法的有效性。
When polychromatic X-rays propagate through a material, for instance in computerized tomography (CT), low energy photons are more attenuated resulting in a “harder” beam. The beam-hardening phenomenon breaks the monochromatic radiation model based on the Radon transform giving rise to artifacts in CT reconstructions to the detriment of visual inspection and automated segmentation algorithms. We propose first a simplified analytic representation for the beam-hardening. Besides providing a general understanding of the phenomenon, this model proposes to invert the beam-hardening effect for homogeneous objects leading to classical monochromatic data. For heterogeneous objects, no analytical reconstruction of the density can be derived without more prior information. However, the beam-hardening is shown to be a smooth operation on the data and thus to preserve the encoding of the singularities of the attenuation map within the data. A microlocal analysis encourages the use of contour extraction methods to solve partially the beam-hardening effect even for heterogeneous objects. The application of both methods, exact analytical solution for homogeneous objects and feature extraction for heterogeneous ones, on real data demonstrates their relevancy and efficiency.
影响因子：
3.8
作者：
Duan, Xinhui;Wang, Jia;McCollough, Cynthia H.
通讯作者：
McCollough, Cynthia H.
尺寸标注中的组合重建和边缘检测
影响因子：
2.4
作者：
Schorr
通讯作者：
Schorr