Admissible Complexes for the Projective X-Ray Transform over a Finite Field (1707.06695v2)

Published 20 Jul 2017 in math.MG

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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