Advanced linear modeling and interpolation in CT-reconstruction
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 (Refereed)
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
linear models, CT-projection, irradiation function, table-look-up
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-21707OAI: oai:DiVA.org:liu-21707DiVA: diva2:246112