Ⅰ.导言 假若一个物体在所有角度上的投影即线积分都已知的话,则它的横截面像就能正确地重建。这个基本的激动人心的性能已应用于许多方面,主要应用于医学图像方面,然而在许多情况下,物理测量没能正确地定义全部线积分,这导致最后的重建图像不正确且失真。 物理测量在许多情况下可能不合适,这包括非线性、噪声和数据不足。非线性来自探测器,噪声通常是测量中的不确定性引起的,即干扰分量例如散射线,在某些情况下,数据可 I. INTRODUCTION If the projection of an object in all angles, known as the linear integral, then its cross-sectional image can be correctly reconstructed. This basic and exciting performance has been applied in many aspects, mainly in the medical image area, however in many cases the physical measurement does not properly define the total line integral, which results in an incorrect and distorted image of the final reconstruction. Physical measurements may not be appropriate in many situations, including non-linearity, noise, and lack of data. Non-linearity comes from the detector, and noise is usually caused by uncertainty in the measurement, ie interference components such as scattered lines. In some cases, the data can be