Abstract
Publisher Summary This chapter discusses the Radon transform, its applications, present state of knowledge about the Radon transform, and some of its lesser-known applications. Although x-ray projections and tomographic reconstruction are used in the chapter as a starting point, no consideration is given to such things as fan-beam geometries, iterative reconstruction algorithms, polyenergetic X-rays, detector noise, or clinical applications. It is undoubtedly medical computed tomography (CT) that has attracted more attention than any other application of the Radon transform. The basic data obtained in a CT procedure are x-ray transmission measurements through a two-dimensional (2D) slice of the patient's body. Because of the overwhelming clinical and commercial success of CT, the 2D Radon transform is studied in exhaustive detail.
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