On discrete X-ray transform
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.
Authors
- Roman Gennadievich Novikov (ORCID: https://orcid.org/0000-0003-3346-9414)
- Basant Lal Sharma (ORCID: https://orcid.org/0000-0002-4968-9203)
Institutions
- Centre National de la Recherche Scientifique (FR)
- École Polytechnique (FR)
- Centre de Mathématiques Appliquées de l'École polytechnique (FR)
- Indian Institute of Technology Kanpur (IN)
Publication Details
- Journal
- Bulletin des Sciences Mathématiques
- Published
- 2026-09-24
- DOI
- https://doi.org/10.1016/j.bulsci.2026.103940
- Primary Topic
- Medical Imaging Techniques and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Institut des Hautes Études Scientifiques, Université Paris-Saclay