ABSTRACT
The origin of the Radon transform can be traced to Johann Radon’s 1917 celebrated work “On the determination of functions from integrals along certain manifolds.” In his seminal work, Radon demonstrated how to construct a function of two variables from its integrals over all straight lines in the plane. He also made other generalizations of this transform involving the reconstruction of a function from its integrals over other smooth curves as well as the reconstruction of a function of n variables from its integrals over all
solutions of hyperbolic partial differential equations with constant coefficients, it did not receive much attention from mathematicians and scientists.
