Image Representation Via a Finite Radon Transform

  • Authors:
  • F. Matús;J. Flusser

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1993

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Abstract

A model of finite Radon transforms composed of Radon projections is presented. The model generalizes to finite group projections in the classical Radon transform theory. The Radon projector averages a function on a group over cosets of a subgroup. Reconstruction formulae that were formally similar to the convolved backprojection ones are derived, and an iterative reconstruction technique is found to converge after a finite number of steps. Applying these results to the group Z/sub 2//sup P/, new computationally favorable image representations have been obtained. A numerical study of the transform coding aspects is attached.