Direct inversion of Mojette projections

Imants Svalbe, Andrew Kingston, Jeanpierre Guédon, Nicolas Normand, Shekhar Chandra

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3 Citations (Scopus)


We present algorithms to reconstruct images from minimal sets of discrete Mojette projections using direct back-projection (DBP) with various forms of correction. This paper extends previous work on discrete projection inversion by Servières et al [1, 2, 3]. The number of Mojette projections needed for exact inversion by DBP (EI-DBP) scales as O(N2). A new form of discrete interpolation is developed to expand the point spread function (PSF) of a minimal (Katz-sufficient) set of discrete projections to encompass new directions and thus augment the size of the reconstruction region to which EI-DBP applies. Additionally, we propose a Fourier domain filter for Mojette back-projection that is built from the discrete PSF of the given Mojette angle set and the autocorrelation function of the image domain. These discrete reconstruction methods are targeted for use with noisy sets of real projection data.

Original languageEnglish
Title of host publication2013 IEEE International Conference on Image Processing, ICIP 2013 - Proceedings
Subtitle of host publicationMelbourne, VIC; Australia; 15 September 2013 through 18 September 2013; Category number CFP13CIP-ART; Code 103050
EditorsDavid Taubman, Min Wu
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages5
ISBN (Print)9781479923410
Publication statusPublished - 2013
EventIEEE International Conference on Image Processing 2013 - Melbourne Convention and Exhibition Centre (MCEC), Melbourne, Australia
Duration: 15 Sep 201318 Sep 2013
Conference number: 20th (IEEE Conference Proceedings)

Publication series

ISSN (Print)1522-4880
ISSN (Electronic)2381-8549


ConferenceIEEE International Conference on Image Processing 2013
Abbreviated titleICIP 2013
Internet address


  • back-projection
  • discrete Radon transforms
  • discrete tomography
  • Mojette transforms
  • projection
  • reconstruction

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