A relation between algebraic and transform-based reconstruction technique in computed tomography

In this contribution a coherent relation between the algebraic and the transform-based reconstruction technique for computed tomography is introduced using the mathematical means of two-dimensional signal processing. There are two advantages arising from that approach. First, the algebraic reconstru...

Full description

Bibliographic Details
Main Authors: S. Kiefhaber, M. Rosenbaum, W. Sauer-Greff, R. Urbansky
Format: Article
Language:deu
Published: Copernicus Publications 2013-07-01
Series:Advances in Radio Science
Online Access:http://www.adv-radio-sci.net/11/95/2013/ars-11-95-2013.pdf
Description
Summary:In this contribution a coherent relation between the algebraic and the transform-based reconstruction technique for computed tomography is introduced using the mathematical means of two-dimensional signal processing. There are two advantages arising from that approach. First, the algebraic reconstruction technique can now be used efficiently regarding memory usage without considerations concerning the handling of large sparse matrices. Second, the relation grants a more intuitive understanding as to the convergence characteristics of the iterative method. Besides the gain in theoretical insight these advantages offer new possibilities for application-specific fine tuning of reconstruction techniques.
ISSN:1684-9965
1684-9973