Accession Number:

ADP013760

Title:

Tomographic Reconstruction using Cesaro-Means and Newman-Shapiro Operators

Descriptive Note:

Conference paper

Corporate Author:

JUSTUS-LIEBIG-UNIV GIESSEN (GERMANY) MATHEMATICS INST

Personal Author(s):

Report Date:

2001-07-01

Pagination or Media Count:

8.0

Abstract:

Tomography is well known because of its many applications. Although theoretically solved, the numerical implementation of tomographic reconstruction algorithms is still a difficult problem. In this article the numerical implementation of a reconstruction method using Cesaro-means and Newman-Shapiro operators is described. The key point herein is the use of suitable quadrature formulae on the sphere. It turns out that in the context described product Gaussian formulae are best suited. The algorithm is tested at the so called Shepp-Logan phantom which is a three dimensional model of a human head.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE