A comparative study of two transform methods for image reconstruction from parallel beam projections

A. Filiz Baytas*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The transform methods of image reconstruction are based on the central slice theorem. Direct Fourier inversion provide a linear reconstruction formulation between a two-dimensional distribution and its projections. This method has some problems of the interpolation in the Fourier space. Therefore, the possibility of an interpolation in the object space prior to Fourier transformation of the projection has been sought. To implement this idea, the central slice theorem based on the Fourier transform is reconsidered for a density distribution of point weights placed over a square grid. The algorithm is compared with the filtered back projection transform method. The projection map interpolation and the filtered back projection algorithms are applied on the projection data obtained from a parallel beam scanner and the comparison of two algorithms is presented by graphics.

Original languageEnglish
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Publication statusPublished - 2000
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain
Duration: 11 Sept 200014 Sept 2000

Publication series

NameEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Conference

ConferenceEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Country/TerritorySpain
CityBarcelona
Period11/09/0014/09/00

Keywords

  • Back projection
  • Computed tomography
  • Direct fourier inversion
  • Reconstruction

Fingerprint

Dive into the research topics of 'A comparative study of two transform methods for image reconstruction from parallel beam projections'. Together they form a unique fingerprint.

Cite this