2017/07/20 by David Feldman, Feldman, David V., Eric L. Grinberg +1
Medicine · Mathematics · Computer Science · #Medical Imaging Techniques and Applications #Mathematical Analysis and Transform Methods #Digital Image Processing Techniques
paper · pdf · doi:10.48550/arxiv.1707.06695
We consider the X-ray transform in a projective space over a finite field. It\nis well known (after E. Bolker) that this transform is injective. We formulate\nan analog of I.M. Gelfand's admissibility problem for the Radon transform,\nwhich asks for a classification of all minimal sets of lines for which the\nrestricted Radon transform is injective. The solution involves doubly ruled\nquadric surfaces.\n