Tomographic Reconstruction using Cesaro-Means and Newman-Shapiro Operators

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013760

Entities

People

  • Ulrike Maier

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computations
  • Convergence
  • Ellipsoids
  • Gaussian Quadrature
  • Grids
  • Integrals
  • Kernel Functions
  • Linear Systems
  • Notation
  • Operating Systems
  • Polynomials
  • Technical Information Centers
  • Test And Evaluation
  • Three Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Medical Imaging.