Analysis of reconstruction of functions with rough edges from discrete Radon data in ${\mathbb{R}}^2$

Alexander Katsevich

We study the accuracy of reconstruction of a family of functions $f_{\epsilon }(x)$, $x\in {\mathbb{R}}^2$, $\epsilon \to 0$, from their discrete Radon transform data sampled with step size $O(\epsilon )$. For e…