康普顿散射层析成像中的多次散射及其对扇束CT的影响
On multiple scattering in Compton scattering tomography and its impact on fan-beam CT
摘要：
能量分辨闪烁晶体的最新发展为新型应用和成像系统开辟了道路。在计算机断层扫描（CT）的背景下，其使得能够使用能量作为补充源和检测器位置的信息的维度。然后，将能量测量与康普顿散射的性质联系起来是至关重要的，康普顿散射是光子和物质之间的主要相互作用。一个适当的模型的光谱数据导致康普顿散射层析成像（CST）的概念。多级散射是CST的主要难点。一般来说，不可能知道光子在被测量之前被散射了多少次。在文献中，这种性质的光谱数据往往被逃避只考虑一阶散射模型的光谱数据。然而，这种考虑并不代表现实，因为二阶和高阶散射是光谱测量的重要组成部分。在这项工作中，我们建议通过分析光谱数据的建模和映射属性来解决这个困难。由于多阶散射的复杂性，我们对二阶散射进行了建模和研究，并通过猜想将结果推广到更高阶。研究结束了一个通用的重建策略的基础上的频谱数据的变化，这是说明了联合CST-CT扇束扫描器上的模拟。我们进一步展示了如何将该方法扩展到高能量多色辐射源。
英文摘要：
The recent development of energy-resolving scintillation crystals opens the way to new types of applications and imaging systems. In the context of computerized tomography (CT), it enables to use the energy as a dimension of information supplementing the source and detector positions. It is then crucial to relate the energy measurements to the properties of Compton scattering, the dominant interaction between photons and matter. An appropriate model of the spectral data leads to the concept of Compton scattering tomography (CST). Multiple-order scattering constitutes the major difficulty of CST. It is, in general, impossible to know how many times a photon was scattered before being measured. In the literature, this nature of the spectral data has often been eluded by considering only the first-order scattering in models of the spectral data. This consideration, however, does not represent the reality as second- and higher-order scattering are a substantial part of the spectral measurement. In this work, we propose to tackle this difficulty by an analysis of the spectral data in terms of modeling and mapping properties. Due to the complexity of the multiple order scattering, we model and study the second-order scattering and extend the results to the higher orders by conjecture. The study ends up with a general reconstruction strategy based on the variations of the spectral data which is illustrated by simulations on a joint CST-CT fan beam scanner. We further show how the method can be extended to high energetic polychromatic radiation sources.
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