Half-scan cone-beam x-ray microtomography formula.
An x-ray shadow projection microtomographic system using a scannable point source is under development at AMIL-ARTS, SUNY at Buffalo. To overcome the limitations of the commonly used Feldkamp's cone-beam reconstruction formula, we have developed a generalized Feldkamp-type cone-beam reconstruction formula. In the generalized Feldkamp-type cone-beam reconstruction, a scanning locus can be either planar or helix-like, and a transaxial slice is reconstructed using projection data collected from a 360 degrees angular range (full scan). In this paper, the full-scan cone-beam formula is modified to require only projection data of approximate 180 degrees plus two fan-angles (half scan). First, a half-scan derivative-free noncircular fan-beam reconstruction formula is formulated. Then, a half-scan cone-beam reconstruction formula is derived as an extension of the half-scan fan-beam reconstruction formula using Feldkamp's procedure. Typical numerical simulation results are given for both half-scan formulae. Compared with the full-scan cone-beam formula, the half-scan cone-beam formula reduces the involved angular range of projection data and allows better longitudinal/temporal resolution.
Wang
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G
Division of Radiology Research, Mallinckrodt Institute of Radiology, Washington University School of Medicine, Saint Louis, Missouri 63110.
Liu
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Y
Lin
T H
TH
Cheng
P C
PC
D007091:Image Processing, Computer-Assisted; D008433:Mathematics; D008961:Models, Structural; D014056:Tomography, X-Ray / Q000379:methods*