ABSTRACT

As is often the case with many beautiful and significant mathematical discoveries, the Radon transform was discovered and went unnoticed for very many years. And when it was rediscovered, it was rediscovered independently by many people in different fields. The Radon transformation without doubt is one of the most versatile function transformations. Its applications are numerous and its scope is so immense. Chief among its applications are computer assisted tomography (CAT), in particular, what is known to the layman as CAT scan, and nuclear magnetic resonance (NMR). Not only the transform, but also its history deserves a great deal of attention.