English

Reconstruction of a polynomial from its Radon projections

Numerical Analysis 2007-05-23 v1 Classical Analysis and ODEs

Abstract

A polynomial of degree nn in two variables is shown to be uniquely determined by its Radon projections taken over [n/2]+1[n/2]+1 parallel lines in each of the (2[(n+1)/2]+1)(2[(n+1)/2]+1) equidistant directions along the unit circle.

Keywords

Cite

@article{arxiv.math/0503338,
  title  = {Reconstruction of a polynomial from its Radon projections},
  author = {Borislav Bojanov and Yuan Xu},
  journal= {arXiv preprint arXiv:math/0503338},
  year   = {2007}
}

Comments

SIAM J. Math. Anal. (to appear)