电阻抗断层图像重建算法研究——预迭代算法提出

本文分析了Landweber法与广义逆的关系,通过理论推导,证实Landweber 法实际上是用迭代法构造广义逆矩阵的一种变形,解释了Landweber法多次迭代后的成像结果与广义逆最小模解类似的现象,在此基础上,提出一种新的重建算法——预迭代法,将重建过程分为离线预迭代及在线一步成像,明显提高了成像速度。

Research on the Reconstruction Algorithm of Electrical Impedance Tomgraphy --the Pre-iteration Reconstruction Algorithm

This paper analyzes the relation between the Lanweber method and Generalized Inverse, Through theoretical derivation, the fact is proved that the Landweber method is the a deformation of constructed the generalized inverse using the iteration solution. So the phenomenon that the reconstructed images of Landweber method through many iterative steps is close to those reconstructed by generalized inverse method is explained, then a new reconstruction algorithm, namely pre-iteration method is presented, which divides the process of reconstruction into two steps, namely off-line pre-iteration and on-line one-step reconstruction. The reconstruction speed is markedly improved.