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Advanced linear modeling and interpolation in CT-reconstruction
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.
2007 (English)In: Proceedings of the Ninth International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine, Lindau, Germany, July 9-13, 2007, 2007Conference paper, Published paper (Refereed)
Abstract [en]

Although not so often expressed as a modeling problem neither projection nor back-projection can be designed without certain insights in the physics of CT. However, most of this insight is left aside, since it is generally believed that only the most simplified models can be included in the innermost timeconsuming loop in projection and back-projection. We propose that any linear projection procedure should model three functions: The irradiation function, the footprint/basis function, and the gantry rotation function. We demonstrate how a moderately advanced modeling of these three functions can be brought together in an interpolation procedure and yield a surprisingly efficient inner loop interpolation. To this end we i) carefully select a locus of interpolation path through image and projection data spaces and ii) execute multiple convolution as integration by parts implemented by table-look-up.

Place, publisher, year, edition, pages
2007.
Keyword [en]
linear models, CT-projection, irradiation function, table-look-up
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-21707OAI: oai:DiVA.org:liu-21707DiVA: diva2:246112
Available from: 2009-10-08 Created: 2009-10-05 Last updated: 2010-01-21

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Danielsson, Per-ErikSunnegårdh, Johan

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf