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Line-reconstruction from Compton cameras: data sets and a camera design

机译：康普顿相机的线重构：数据集和相机设计

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摘要

Reconstructing the integral of a distribution of radioactivity along a line from Compton camera data could be used to produce a parallel projection, or to perform tomosynthesis, or to reconstruct the whole three-dimensional distribution itself. Analytic methods for recon-structing an integral of radioactivity along a line are presented here. The sets of data that allow an integral along a line and a parallel projection of the distribution to be reconstructed are determined here by interpret-ing these methods from a geometric viewpoint. These methods and the sets of data depend upon which of the two models is assumed for the data. Both of these models have been previously proposed by other re-searchers. In addition, a new camera design is proposed here that makes it possible to measure all these sets of data. In this design, a first detector element has to be seen from the second detector in only a "semicircle of direction." Also, two techniques for increasing the sensitivity of the new camera design are proposed here. Computer simulations are performed to illustrate these reconstruction methods.
机译：从康普顿相机数据重建沿线的放射性分布的积分可用于产生平行投影，或进行断层合成，或重建整个三维分布本身。这里介绍了沿线重建放射性积分的解析方法。通过从几何学角度解释这些方法，可以确定允许重建沿线的积分和分布的平行投影的数据集。这些方法和数据集取决于为数据假设的两个模型中的哪个。这两个模型都是先前由其他研究人员提出的。此外，这里提出了一种新的相机设计，可以测量所有这些数据集。在该设计中，必须仅在“半个方向”上从第二检测器看到第一检测器元件。另外，这里提出了两种用于提高新相机设计灵敏度的技术。进行计算机模拟以说明这些重建方法。

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