Binary tomography with deblurring

Stefan Weber, Thomas Schüle, Attila Kuba, Christoph Schnörr

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

We study two scenarios of limited-angle binary tomography with data distorted with an unknown convolution: Either the projection data are taken from a blurred object, or the projection data themselves are blurred. These scenarios are relevant in case of scattering and due to a finite resolution of the detectors. Assuming that the unknown blurring process is adequately modeled by an isotropic Gaussian convolution kernel with unknown scale-parameter, we show that parameter estimation can be combined with the reconstruction process. To this end, a recently introduced Difference-of-Convex-Functions programming approach to limited-angle binary tomographic reconstruction is complemented with Expectation-Maximization iteration. Experimental results show that the resulting approach is able to cope with both ill-posed problems, limited-angle reconstruction and deblurring, simultaneously.

Original languageEnglish
Title of host publicationCombinatorial Image Analysis - 11th International Workshop, IWCIA 2006, Proceedings
PublisherSpringer Verlag
Pages375-388
Number of pages14
ISBN (Print)3540351531, 9783540351535
DOIs
Publication statusPublished - Jan 1 2006
EventCombinatorial Image Analysis - 11th International Workshop, IWCIA 2006, Proceedings - Berlin, Germany
Duration: Jun 19 2006Jun 21 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4040 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

OtherCombinatorial Image Analysis - 11th International Workshop, IWCIA 2006, Proceedings
CountryGermany
CityBerlin
Period6/19/066/21/06

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Weber, S., Schüle, T., Kuba, A., & Schnörr, C. (2006). Binary tomography with deblurring. In Combinatorial Image Analysis - 11th International Workshop, IWCIA 2006, Proceedings (pp. 375-388). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4040 LNCS). Springer Verlag. https://doi.org/10.1007/11774938_30