An Application of Abel's Method to the Inverse Radon Transform
arXiv:1910.09081
Abstract
A method of approximating the inverse Radon transform on the plane by integrating against a smooth kernel is investigated. For piecewise smooth integrable functions, convergence theorems are proven and Gibbs phenomena are ruled out. Geometric properties of the kernel and their implications for computer implementation are discussed. Suggestions are made for applications and an example is presented.
This material is based upon work supported by the National Science Foundation under Grant No. NSF 1658672