Computation of Radon Data from Cone Beam Data in Cone Beam Imaging

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Abstract

In the latest development in x-ray inspection, cone beam x-rays are used to inspect three-dimensional objects. However, the cone beam projection data collected are not compatible with image reconstruction by three-dimensional Radon inversion. In this paper a method is developed to convert the cone beam data to Radon data which can then be inverted to yield the object. The Radon data are generated directly on the polar grid lines on a set of coaxial vertical planes in the Radon space for Radon inversion, and therefore only 1-dimensional interpolation in the Radon space is needed to obtain Radon data at the desired locations.

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