Convolutional Reconstruction from Cone-Beam Projection Data

Convolutional Reconstruction from Cone-Beam Projection Data

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...

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Veröffentlicht in:IEEE transactions on nuclear science 1979-04, Vol.26 (2), p.2682-2684
1. Verfasser: Minerbo, Gerald N.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithm design and analysis
Application software
Electron microscopy
Geometry
Image reconstruction
Integral equations
Iterative algorithms
Laboratories
Reconstruction algorithms
Testing
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Beschreibung
Zusammenfassung: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.
ISSN:0018-9499
1558-1578
DOI:10.1109/TNS.1979.4330511