English

On discrete X-ray transform

Functional Analysis 2025-05-13 v1

Abstract

We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensions to weighted (attenuated) analogues are given. Connections to the continuous case are presented.

Cite

@article{arxiv.2505.07505,
  title  = {On discrete X-ray transform},
  author = {Roman Novikov and Basant Lal Sharma},
  journal= {arXiv preprint arXiv:2505.07505},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-06-28T23:29:29.509Z