An Application of Abel's Method to the Inverse Radon Transform
Numerical Analysis
2019-10-22 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1910.09081,
title = {An Application of Abel's Method to the Inverse Radon Transform},
author = {Shavkat Alimov and Joseph David and Alexander Nolte and Julie Sherman},
journal= {arXiv preprint arXiv:1910.09081},
year = {2019}
}
Comments
This material is based upon work supported by the National Science Foundation under Grant No. NSF 1658672