7

Methods of Averaging Projections

In this chapter we describe a few methods of averaging for image reconstruction. The main result with a statistical model of the image is described in §7.4. It allows us to achieve a high-quality image reconstruction through the process of iterations and renewal of statistics after each iteration. This approach does not require any transformation and its effective realization can be used for reconstructing the image in discrete form with any size.

In Chapters 3, 4, and 5, the method of image reconstruction, which is based on transferring the geometry from A-rays to G-rays, was described. The reconstruction of the image is exact, when considering the image f(x, y) as a set of small cells, or image elements ...

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