Direct Method for Calculating the Inverse Radon Transform and Its Applications

TL;DR

This paper explores an algebraic method for image reconstruction via the inverse Radon transform, focusing on solving large linear systems and discussing potential improvements for mathematical techniques.

Contribution

It introduces an algebraic approach to inverse Radon transform reconstruction and suggests avenues for enhancing the mathematical methods involved.

Findings

Effective formulation of image reconstruction as a linear algebra problem

Identification of potential improvements in algebraic methods

Discussion of future research directions in mathematical approaches

Abstract

The purpose of this report is a study of the algebraic approach possibilities to reconstruct images. This approach is reduced to solution of the large system of linear algebraic equations. We also point out some possible further improvements of the mathematical approaches studied.