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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.45.005960


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Abstract

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

History
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

Citation
Zikuan Chen and Ruola Ning, "Volume fusion for two-circular-orbit cone-beam tomography," Appl. Opt. 45, 5960-5966 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-23-5960


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References

  1. L. A. Feldkamp, L. C. Davis, and J. W. Kress, "Practical cone-beam algorithm," J. Opt. Soc. Am. A 1, 612-619 (1984). [CrossRef]
  2. M. Defrise and R. Clack, "A cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection," IEEE Trans. Med. Imaging 13, 186-195 (1994). [CrossRef] [PubMed]
  3. P. Grangeat, "Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform," in Mathematical Methods in Tomography, Vol. 1497 of Lecture Notes in Mathematics, G.T.Herman, A.K.Louis, and F.Natterer, eds. (Springer-Verlag, 1991), pp. 66-97. [CrossRef]
  4. B. D. Smith and C. C. Peck, "Implementations, comparisons, and an investigation of heuristic techniques for cone-beam tomography," IEEE Trans. Med. Imaging 15, 519-531 (1996). [CrossRef] [PubMed]
  5. H. K. Tuy, "An inversion formula for cone-beam reconstruction," SIAM J. Appl. Math. 43, 546-552 (1983). [CrossRef]
  6. R. Ning, X. Tang, D. Conover, and R. Yu, "Flat panel detector-based cone beam computed tomography with a circle-plus-two arcs data acquisition orbit: preliminary phantom study," Med. Phys. 30, 1694-1705 (2003). [CrossRef] [PubMed]
  7. R. Ning, B. Chen, R. Yu, D. Conover, X. Tang, and Y. Ning, "Flat panel detector-based cone-beam volume CT angiography imaging: system evaluation," IEEE Trans. Med. Imaging 19, 949-963 (2000). [CrossRef] [PubMed]
  8. Z. Chen and R. Ning, "Three-dimensional PSF measurement of cone-beam CT system by iterative edge-blurring algorithm," Phys. Med. Biol. 49, 1865-1880 (2004). [CrossRef] [PubMed]
  9. G. L. Zeng and G. T. Gullberg, "A cone-beam tomography algorithm for orthogonal circle-and-line orbit," Phys. Med. Biol. 37, 563-577 (1992). [CrossRef] [PubMed]
  10. G. L. Zeng, R. Clack, and G. T. Gullberg, "Implementation of Tuy's cone-beam inversion formula," Phys. Med. Biol. 39, 493-507 (1994). [CrossRef] [PubMed]
  11. X. Wang and R. Ning, "A cone-beam reconstruction algorithm for circle-plus-arc data-acquisition geometry," IEEE Trans. Med. Imaging 18, 815-824 (1999). [CrossRef] [PubMed]
  12. D. Finch, "Cone-beam reconstruction with sources on a curve," SIAM J. Appl. Math. 665-673 (1985).
  13. F. Noo, R. Clack, T. A. White, and T. J. Roney, "The dual-ellipse cross vertex path for exact reconstruction of long objects in cone-beam tomography," Phys. Med. Biol. 43, 797-810 (1998). [CrossRef] [PubMed]
  14. S. R. Deans, The Radon Transform and Some of Its Applications (Wiley, 1983).
  15. C. Axelsson and P. Danielsson, "Three-dimensional reconstruction from cone-beam data in O(N3 log N) time," Phys. Med. Biol. 39, 477-491 (1994). [CrossRef] [PubMed]
  16. S. Schaller, T. Flohr, and P. Steffen, "An efficient Fourier method for 3D Radon inversion in exact cone-beam CT reconstruction," IEEE Trans. Med. Imaging 17, 244-250 (1998). [CrossRef] [PubMed]
  17. N. J. Dusaussoy, "VOIR: a volumetric image reconstruction algorithm based on Fourier techniques for inversion for the 3-D Radon transform," IEEE Trans. Image Process. 5, 121-131 (1996). [CrossRef] [PubMed]
  18. X. Yan and R. M. Leahy, "Derivation and analysis of a filtered backprojection algorithm for cone-beam projection data," IEEE Trans. Med. Imaging 10, 462-472 (1991). [CrossRef] [PubMed]
  19. Z. Chen and R. Ning, "Filling the radon domain of computed tomography by local convex combination," Appl. Opt. 42, 7043-7051 (2003). [CrossRef] [PubMed]
  20. Z. Chen, R. Ning, Y. Yu, and D. Conover, "3D PSF characterization of circle-plus-arc cone-beam tomography," in Proc. SPIE 5745, 664-675 (2005). [CrossRef]

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