Issue No. 10 - October (1993 vol. 15)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.254058
<p>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.</p>
subgroup cosets; convergence; finite Radon transforms; Radon projections; finite group projections; iterative reconstruction technique; group theory; image reconstruction; transforms
F. Matús and J. Flusser, "Image Representation Via a Finite Radon Transform," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 15, no. , pp. 996-1006, 1993.