Abstract
We consider the X-ray transform in a projective space over a finite field. It is well known (after Bolker) that this transform is injective. We formulate an analog of 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.
| Original language | English |
|---|---|
| Pages (from-to) | 28-36 |
| Number of pages | 9 |
| Journal | Discrete and Computational Geometry |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1 2020 |
ASJC Scopus Subject Areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
Keywords
- Admissibility
- Doubly ruled quadric surfaces
- Finite fields
- Integral geometry
- Line complexes
- Projective spaces
- Radon transform
- X-ray transform
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