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Image representation via a finite Radon transform

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2 Author(s)
Matúš, F. ; Inst. of Inf. Theory & Autom., Acad. of Sci. of Czech Republic, Prague, Czechoslovakia ; Flusser, J.

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 Z2P, new computationally favorable image representations have been obtained. A numerical study of the transform coding aspects is attached

Published in:

Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:15 ,  Issue: 10 )

Date of Publication:

Oct 1993

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