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Computer simulations to demonstrate new inversion methods for Compton camera data

机译：计算机模拟演示康普顿相机数据的新反演方法

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摘要

New methods for inverting Compton camera data have recently been developed. In particular, an inversion method was developed for each of the two models of Compton camera data that have been proposed in the literature. These methods make it possible to produce a parallel projection as well as a "voxel-wise" reconstruction of a distribution of radioactivity. An objective of the computer simulations presented here is to demonstrate these methods' ability to produce parallel projections and voxel-wise reconstructions. The results of the simulations indicate the new inversion methods can produce reasonable images and projections, at least when noiseless simulated data is used. Furthermore, the minimum sets of data needed to use these inversion methods were also recently determined. Presumably, incorporating more measurements into the reconstruction process than the minimum needed will improve the quality of the reconstructions that result. Methods for doing this are developed here as well.
机译：最近开发了反转康普顿相机数据的新方法。特别是，为文献中提出的两种康普顿相机数据模型中的每一种都开发了一种反演方法。这些方法可以产生平行投影以及放射性分布的“体素”重建。这里介绍的计算机模拟的目的是证明这些方法产生平行投影和体素重建的能力。仿真结果表明，至少在使用无噪声模拟数据时，新的反演方法可以产生合理的图像和投影。此外，最近还确定了使用这些反演方法所需的最小数据集。据推测，在重建过程中纳入比所需最低限度更多的测量值将提高重建的质量。这里也开发了执行此操作的方法。

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