Interpolation by bivariate polynomials based on Radon projections

Abstract

For any given set of angles $\theta _0 < \ldots < \theta _n$ in $[0, \pi )$, we show that a set of ${n+2 \choose 2}$ Radon projections, consisting of $k$ parallel $X$-ray beams in each direction $\theta _k$, $k=0, \ldots , n$, determines uniquely alge