English

OPED reconstruction algorithm for limited angle problem

Numerical Analysis 2008-11-04 v2

Abstract

The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems. In stead of completing the set of data, the set of discrete sine transforms of the data is completed. This is achieved by solving systems of linear equations that have, upon choosing appropriate parameters, positive definite coefficient matrices. Numerical examples are presented.

Keywords

Cite

@article{arxiv.0810.1705,
  title  = {OPED reconstruction algorithm for limited angle problem},
  author = {Yuan Xu and Oleg Tischenko},
  journal= {arXiv preprint arXiv:0810.1705},
  year   = {2008}
}

Comments

17 pages

R2 v1 2026-06-21T11:29:09.517Z