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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 23 — Aug. 10, 2006
  • pp: 5960–5966

Volume fusion for two-circular-orbit cone-beam tomography

Zikuan Chen and Ruola Ning  »View Author Affiliations

Applied Optics, Vol. 45, Issue 23, pp. 5960-5966 (2006)

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By using the Feldkamp–Davis–Kress (FDK) algorithm, we can efficiently produce a digital volume, called the FDK volume, from cone-beam data acquired along a circular scan orbit. Due to the insufficiency of the cone-beam data set, the FDK volume suffers from nonuniform reproduction exactness. Specifically, the midplane (on the scan-orbit plane) can be exactly reproduced, and the reproduction exactness of off-midplanes decreases as the distance from the midplane increases. We describe the longitudinal falling-off degradation by a hatlike function and the spatial distribution over the object domain by an exactness volume. With two orthogonal circular scan orbits, we can reconstruct two FDK volumes and generate two exactness volumes. We propose a volume fusion scheme to combine the two FDK volumes into a single volume. Let V a and V b denote the two FDK volumes, let E a and E b denote the exactness volumes for orbits Γ a and Γ b , respectively, then the volume fusion is defined by V a b = V a W a + V b W b , with W a = E a / ( E a + E b ) and W b = 1 W a . In the result, the overall reproduction exactness of V a b is expected to outperform that of V a , or V b , or ( V a + V b ) / 2 . In principle, this volume-fusion scheme is applicable for general cone-beam tomography with multiple nonorthogonal and noncircular orbits.

© 2006 Optical Society of America

OCIS Codes
(100.6890) Image processing : Three-dimensional image processing
(110.6880) Imaging systems : Three-dimensional image acquisition
(110.6960) Imaging systems : Tomography

Original Manuscript: November 2, 2005
Revised Manuscript: February 20, 2006
Manuscript Accepted: March 14, 2006

Virtual Issues
Vol. 1, Iss. 9 Virtual Journal for Biomedical Optics

Zikuan Chen and Ruola Ning, "Volume fusion for two-circular-orbit cone-beam tomography," Appl. Opt. 45, 5960-5966 (2006)

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