Tomography: mathematical aspects and applications
Mathematical Physics
2015-06-17 v1 math.MP
Abstract
In this article we present a review of the Radon transform and the instability of the tomographic reconstruction process. We show some new mathematical results in tomography obtained by a variational formulation of the reconstruction problem based on the minimization of a Mumford-Shah type functional. Finally, we exhibit a physical interpretation of this new technique and discuss some possible generalizations.
Cite
@article{arxiv.1501.07385,
title = {Tomography: mathematical aspects and applications},
author = {Paolo Facchi and Marilena Ligabò and Sergio Solimini},
journal= {arXiv preprint arXiv:1501.07385},
year = {2015}
}
Comments
11 pages, 5 figures