Admissible Complexes for the Projective X-Ray Transform over a Finite Field

David V. Feldman; Eric L. Grinberg

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arXiv · 1707.06695

Admissible Complexes for the Projective X-Ray Transform over a Finite Field

David V. Feldman·Eric L. Grinberg

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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.

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David V. Feldman, Eric L. Grinberg. 2017-07-24. Admissible Complexes for the Projective X-Ray Transform over a Finite Field. https://arxiv.org/abs/1707.06695

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