Admissible Complexes for the Projective X-Ray Transform over a Finite Field
Metric Geometry
2017-07-26 v2
Abstract
We consider the X-ray transform in a projective space over a finite field. It is well known (after E. Bolker) that this transform is injective. We formulate an analog of I.M. Gelfand's admissibility problem for the Radon transform, which asks for a classification of all minimal sets of lines for which the restricted Radon transform is injective. The solution involves doubly ruled quadric surfaces.
Cite
@article{arxiv.1707.06695,
title = {Admissible Complexes for the Projective X-Ray Transform over a Finite Field},
author = {David V. Feldman and Eric L. Grinberg},
journal= {arXiv preprint arXiv:1707.06695},
year = {2017}
}
Comments
6 pages, 1 figure ; corrected email and name information