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.
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Wang et al. (2004) studied this question.
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