Exact and fast inversion of the approximate discrete Radon transform from partial data

Abstract

We give an exact inversion formula for the approximate discrete Radon transform introduced in [Brady, SIAM J. Comput., 27(1), 107--119] that is of cost $O(N\log N)$ for a square 2D image with $N$ pixels and requires only partial data.

4 pages, 1 figure