On the inversion of the Radon transform: standard vs $M^2$ approach

TL;DR

This paper compares the standard and symplectic formulations of the Radon transform, demonstrating that the symplectic approach allows for more efficient inversion methods.

Contribution

It introduces a comparison between standard and symplectic Radon transforms, highlighting the efficiency advantages of the symplectic inversion.

Findings

Symplectic Radon transform can be inverted more efficiently than the standard form.

The paper provides theoretical insights into the differences between the two formulations.

Potential implications for faster image reconstruction in tomography.

Abstract

We compare the Radon transform in its standard and symplectic formulations and argue that the inversion of the latter can be performed more efficiently.