Exact and fast inversion of the approximate discrete Radon transform from partial data
arXiv:1908.00887v38 citations
AI Analysis
This provides a fast and exact solution for image reconstruction from limited data, which is incremental as it builds on prior work.
The paper tackles the problem of inverting an approximate discrete Radon transform from partial data, achieving an exact inversion formula with a computational cost of O(N log N) for a 2D image with N pixels.
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.