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X-ray spectrum estimation from transmission measurements using the expectation maximization method

机译:使用期望最大化方法从透射测量估计X射线谱估计

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X-ray spectrum estimation remains an active research area for its importance in medical imaging applications such as dose calculation and beam-hardening correction.In this paper, spectrum estimation is posed as an image reconstruction problem and the classical expectation maximization method (EM) for emission computed tomography is used to reconstruct the spectrum from transmission data. And we propose to compute the initial value for the EM iteration using Monte Carlo calculations. Numerical simulations were carried out to test the accuracy and robustness of the method. Experiments were conducted on an experimental CT system to evaluate the practicability of the algorithm. Both the simulations and experiments show that the proposed method can always produce a spectrum which fits the transmission data accurately and exhibits a rational shape.
机译:X射线谱估计仍然是其在医学成像应用中重要性的主动研究领域,例如剂量计算和光束硬化校正。在本文中,频谱估计作为图像重建问题和经典期望最大化方法(EM)。发射计算断层扫描用于从传输数据重建频谱。我们建议使用Monte Carlo计算计算EM迭代的初始值。进行了数值模拟,以测试该方法的准确性和鲁棒性。在实验CT系统上进行实验,以评估算法的实用性。仿真和实验都表明,该方法总是可以精确地产生拟合传输数据的光谱,并且呈现合理的形状。

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