A pre-iteration method for the inverse problem in electrical impedance tomography

In this paper, the relationship between Landweber iteration and the generalized inverse has been analyzed, and it is shown that Landweber iteration is, in fact, a modification of the generalized inverse that is implemented by using the iteration solution. At the same time, a new reconstruction algorithm, termed the pre-iteration method, is proposed, which splits the image reconstruction process into two steps that are the off-line pre-iteration and the on-line one-step reconstruction. The speed of image reconstruction is remarkably increased.