THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY
Optics
2026-04-22 v1 Numerical Analysis
Numerical Analysis
Abstract
We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of single-scattering optical tomography.
Cite
@article{arxiv.2604.18541,
title = {THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY},
author = {Andre Mas and Fatma Terzioglu and Ilse C. F. Ipsen},
journal= {arXiv preprint arXiv:2604.18541},
year = {2026}
}