Irregular sampling and the Radon transform

TL;DR

This paper introduces a novel method for inverting the Radon transform using irregularly sampled data, addressing practical limitations of traditional continuous-data techniques in image reconstruction.

Contribution

It proposes an approach that effectively handles irregular sampling in Radon transform inversion, expanding the applicability of image reconstruction methods.

Findings

Effective inversion with irregular samples

Improved robustness over regular sampling methods

Potential for enhanced image reconstruction quality

Abstract

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling and interpolation methods. This article presents an approach to the inversion of the Radon transform that uses a discrete set of samples which need not be completely regular.