破碎射线Radon变换的反演公式
Inversion formulas for the broken-ray Radon transform
摘要：
我们考虑的逆问题的断裂射线变换（有时也称为V线变换）。显式的图像重建公式推导和数值测试。所得公式是常规Radon变换滤波反投影公式的推广。断裂射线变换的优点包括同时重建介质的吸收和散射系数的可能性以及利用散射辐射的可能性，在常规X射线断层摄影的情况下，散射辐射通常被丢弃。
英文摘要：
We consider the inverse problem of the broken ray transform (sometimes also referred to as the V-line transform). Explicit image reconstruction formulas are derived and tested numerically. The obtained formulas are generalizations of the filtered backprojection formula of the conventional Radon transform. The advantages of the broken ray transform include the possibility to reconstruct the absorption and the scattering coefficients of the medium simultaneously and the possibility to utilize scattered radiation which, in the case of the conventional X-ray tomography, is typically discarded.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
