English

A new approach to the reconstruction of images from Radon projections

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

Abstract

A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the computed tomography. The convergence of the algorithm is established under mild assumptions.

Keywords

Cite

@article{arxiv.math/0510319,
  title  = {A new approach to the reconstruction of images from Radon projections},
  author = {Yuan Xu},
  journal= {arXiv preprint arXiv:math/0510319},
  year   = {2007}
}

Comments

28 pages, accepted by Adv. in Applied Math