Linograms in Image Reconstruction from Projections

The notion of a linogram is introduced. It corresponds to the notion of a sinogram in the conventional representation of projection data in image reconstruction. In the sinogram, points which correspond to rays which go through a fixed point in the cross section to be reconstructed all fall on a sin...

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Bibliographic Details
Published inIEEE transactions on medical imaging Vol. 6; no. 4; pp. 301 - 307
Main Authors Edholm, Paul R., Herman, Gabor T.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1987
Institute of Electrical and Electronics Engineers
Subjects
Biological and medical sciences
Biomedical image processing
Computed tomography
Geometry
Hydrogen
Image processing
Image reconstruction
Investigative techniques, diagnostic techniques (general aspects)
Jacobian matrices
Mathematics
Medical sciences
Miscellaneous. Technology
Radiodiagnosis. Nmr imagery. Nmr spectrometry
Radiology
Three dimensional displays
Image reconstruction
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Summary:The notion of a linogram is introduced. It corresponds to the notion of a sinogram in the conventional representation of projection data in image reconstruction. In the sinogram, points which correspond to rays which go through a fixed point in the cross section to be reconstructed all fall on a sinusoidal curve. In the linogram, however, these points fall on a straight line. Thus, backprojection corresponds to integration along straight lines in the linogram. A theorem is proved expressing the backprojection operator in terms of the Radon transform and simple changes of variables. Consequences of this theorem are discussed. A novel image reconstruction method based on the theorem is presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0278-0062
1558-254X
DOI:10.1109/TMI.1987.4307847