Abstract

This chapter is focused on 3D tomographic imaging. In 3D, we will consider the parallel line-integral projections, parallel plane-integral projections, and cone-beam line-integral projections, separately. For the 3D parallel lineintegral projections and parallel plane-integral projections, there exist the central slice theorems, from which the image reconstruction algorithms can be derived. However, for the cone-beam projections the situation is different; there is no central slice theorem for cone-beam. We have to somehow establish a relationship between the cone-beam projections and the 3D image itself. Since the cone-beam image reconstruction is an active research area, this chapter spends a significant effort on discussing cone-beam reconstruction algorithms, among which the Katsevich algorithm is the latest and the best one.

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