Abstract
A convolutional formula is obtained for the direct reconstruction of a three-dimensional structure function from cone-beam projection measurements. The cone apex is assumed to move on a circle to generate the two-dimensional projected images. The derivation starts from the three-dimensional form of the Radon inversion formula. A transformation of variables is applied to adapt this formula to the cone-beam projection geometry.
Keywords
Cone (formal languages)Projection (relational algebra)GeometryBeam (structure)PhysicsOpticsTransformation (genetics)Iterative reconstructionMathematical analysisMathematicsAlgorithmComputer scienceComputer vision
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Publication Info
- Year
- 1979
- Type
- article
- Volume
- 26
- Issue
- 2
- Pages
- 2682-2684
- Citations
- 35
- Access
- Closed
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Cite This
Gerald Minerbo
(1979).
Convolutional Reconstruction from Cone-Beam Projection Data.
IEEE Transactions on Nuclear Science
, 26
(2)
, 2682-2684.
https://doi.org/10.1109/tns.1979.4330511
Identifiers
- DOI
- 10.1109/tns.1979.4330511