Irregular Sampling of the Radon Transform of Bandlimited Functions
Numerical Analysis
2013-07-05 v1
Abstract
We provide conditions for exact reconstruction of a bandlimited function from irregular polar samples of its Radon transform. First, we prove that the Radon transform is a continuous L2-operator for certain classes of bandlimited signals. We then show that the Beurling-Malliavin condition for the radial sampling density ensures existence and uniqueness of a solution. Moreover, Jaffard's density condition is sufficient for stable reconstruction.
Keywords
Cite
@article{arxiv.1307.1151,
title = {Irregular Sampling of the Radon Transform of Bandlimited Functions},
author = {Thomas Wiese and Laurent Demaret},
journal= {arXiv preprint arXiv:1307.1151},
year = {2013}
}
Comments
SampTA 2013, Accepted