On discrete X-ray transform
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Abstract
We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensions to weighted (attenuated) analogues are given. Connections to the continuous case are presented.
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Authors: Roman Gennadievich Novikov, Basant Lal Sharma
Institutions: Centre National de la Recherche Scientifique, Indian Institute of Technology Kanpur, École Polytechnique, Centre de Mathématiques Appliquées de l'École polytechnique