DFT and DCT based discrete sinc-interpolation methods for direct Fourier tomographic reconstruction

L. P. Yaroslavsky, Y. Chernobrodov

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

Abstract

The paper describes the implementation and use of recently developed DFT and DCT based discrete sinc-interpolation algorithms for the direct Fourier method of reconstructing images from projections. DFT based discrete sinc-interpolation is the only completely reversible discrete interpolation technique. DCT based discrete sinc-interpolation algorithm implements the same interpolation kernel that of the DFT based method and allows to avoid its boundary affect artifacts. It is also computationally more efficient. Two modifications of the DCT based interpolation for tomographic reconstruction are suggested: interpolation by global zooming of 1-D DFT spectra of projections and interpolation with variable zooming factor along the angle coordinate. The latter allows to substantially reduce the computational complexity without compromising interpolation accuracy. Results of comparative numerical simulation of suggested algorithms show a good image reconstruction quality with a reduced level of artifacts.

Original languageEnglish
Title of host publicationISPA 2003 - Proceedings of the 3rd International Symposium on Image and Signal Processing and Analysis
EditorsA. Neri, H. Babic, S. Loncaric
PublisherIEEE Computer Society
Pages405-410
Number of pages6
ISBN (Electronic)953184061X
DOIs
StatePublished - 2003
Event3rd International Symposium on Image and Signal Processing and Analysis, ISPA 2003 - Rome, Italy
Duration: 18 Sep 200320 Sep 2003

Publication series

NameInternational Symposium on Image and Signal Processing and Analysis, ISPA
Volume1
ISSN (Print)1845-5921
ISSN (Electronic)1849-2266

Conference

Conference3rd International Symposium on Image and Signal Processing and Analysis, ISPA 2003
Country/TerritoryItaly
CityRome
Period18/09/0320/09/03

Keywords

  • Computational complexity
  • Discrete Fourier transforms
  • Discrete cosine transforms
  • Image converters
  • Image reconstruction
  • Interpolation
  • Kernel
  • Numerical simulation
  • Reconstruction algorithms
  • Tomography

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