• Corpus ID: 238634497

Sampling the X-ray transform on simple surfaces

  title={Sampling the X-ray transform on simple surfaces},
  author={Franccois Monard and Plamen Stefanov},
We study the problem of proper discretizing and sampling issues related to geodesic X-ray transforms on simple surfaces, and illustrate the theory on simple geodesic disks of constant curvature. Given a notion of band limit on a function, we provide the minimal sampling rates of its X-ray transform for a faithful reconstruction. In Cartesian sampling, we quantify the quality of a sampling scheme depending on geometric parameters of the surface (e.g. curvature and boundary curvature), and the… 


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