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Basis and window functions in CT
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Computer Vision.
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Computer Vision.ORCID iD: 0000-0002-9072-2204
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Computer Vision.
2005 (English)In: Fully 3D 2005, Eighth International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine,2005, 2005Conference paper, Published paper (Refereed)
Abstract [en]

This largely tutorial treatise presents a Fourier based model for 2D-projection, the latter being a most important ingredient in any iterative reconstruction method. For sampled images the model requires an assumed basis function, which implicitly defines the necessary window and interpolation functions. We unravel the basis and window functions for some projection techniques described as procedures. Circular symmetric basis functions make it simple to find interpolation coefficients but require well tuned interpolation functions to avoid aliasing. We find it unnecessary to distinguish between voxel and ray driven projection. These two techniques concern only the innermost loop and both can be applied to any interpolation function, and to projection and back-projection alike. 

Place, publisher, year, edition, pages
2005.
Keyword [en]
tomography, iterative reconstruction, basis functions, interpolation
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-42662Local ID: 67761OAI: oai:DiVA.org:liu-42662DiVA: diva2:263519
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2015-03-17

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http://www.cvl.isy.liu.se/ScOut/Publications/Papers/PaperBasisWindows3D2005.pdf

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Danielsson, Per-ErikMagnusson, MariaSunnegårdh, Johan

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