Abstract We present the comparative study of the analytical forward model and the statistical simulation of the Compton single scatter in the positron emission tomography. The formula of the forward model has been obtained using the single scatter simulation approximation under simplified assumptions, and therefore we calculate scatter projections using independent Monte Carlo simulation mimicking the scatter physics. The numerical comparative study has been performed using a digital cylindrical phantom filled in with water and containing spherical sources of emission activity located at the central and several displaced positions. Good fits of the formula-based and statistically generated profiles of scatter projections are observed in the presented numerical results.

中文翻译：

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正电子发射断层扫描康普顿散射成像的建模与仿真

摘要 我们介绍了正电子发射断层扫描中康普顿单散射的解析正演模型和统计模拟的比较研究。前向模型的公式是在简化假设下使用单散射模拟近似获得的，因此我们使用模拟散射物理的独立蒙特卡罗模拟计算散射投影。数值比较研究是使用一个充满水的数字圆柱体模进行的，其中包含位于中心和几个移位位置的球形发射活动源。在呈现的数值结果中观察到基于公式和统计生成的散射投影轮廓的良好拟合。