Table of Contents Author Guidelines Submit a Manuscript
International Journal of Biomedical Imaging
Volume 2006 (2006), Article ID 45942, 8 pages
http://dx.doi.org/10.1155/IJBI/2006/45942

Extending Three-Dimensional Weighted Cone Beam Filtered Backprojection (CB-FBP) Algorithm for Image Reconstruction in Volumetric CT at Low Helical Pitches

GE Healthcare, 3000 North Grandview Boulevard, W-1190, Waukesha, WI 53188, USA

Received 23 December 2005; Revised 24 May 2006; Accepted 25 May 2006

Copyright © 2006 Xiangyang Tang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Katsevich, “Analysis of an exact inversion algorithm for spiral cone-beam CT,” Physics in Medicine and Biology, vol. 47, no. 15, pp. 2583–2597, 2002. View at Publisher · View at Google Scholar
  2. A. Katsevich, “Theoretically exact filtered backprojection-type inversion algorithm for spiral CT,” SIAM Journal on Applied Mathematics, vol. 62, no. 6, pp. 2012–2026, 2002. View at Publisher · View at Google Scholar
  3. Y. Zou and X. Pan, “Exact image reconstruction on PI-lines from minimum data in helical cone-beam CT,” Physics in Medicine and Biology, vol. 49, no. 6, pp. 941–959, 2004. View at Publisher · View at Google Scholar
  4. J. D. Pack and F. Noo, “Cone-beam reconstruction using 1D filtering along the projection of M-lines,” Inverse Problems, vol. 21, no. 3, pp. 1105–1120, 2005. View at Publisher · View at Google Scholar
  5. G.-H. Chen, “An alternative derivation of Katsevich's cone-beam reconstruction formula,” Medical Physics, vol. 30, no. 12, pp. 3217–3226, 2003. View at Publisher · View at Google Scholar
  6. X. Tang, J. Hsieh, R. A. Nilsen, S. Dutta, D. Samsonov, and A. Hagiwara, “A three-dimensional-weighted cone beam filtered backprojection (CB-FBP) algorithm for image reconstruction in volumetric CT - Helical scanning,” Physics in Medicine and Biology, vol. 51, no. 4, pp. 855–874, 2006. View at Publisher · View at Google Scholar
  7. K. Taguchi, B.-S. S. Chiang, and M. D. Silver, “A new weighting scheme for cone-beam helical CT to reduce the image noise,” Physics in Medicine and Biology, vol. 49, no. 11, pp. 2351–2364, 2004. View at Publisher · View at Google Scholar
  8. K. Stierstorfer, A. Rauscher, J. Boese, H. Bruder, S. Schaller, and T. Flohr, “Weighted FBP—a simple approximated 3D FBP algorithm for multislice spiral CT with good dose usage for arbitrary pitch,” Physics in Medicine and Biology, vol. 49, no. 11, pp. 2209–2218, 2004. View at Publisher · View at Google Scholar
  9. D. Heuscher, K. Brown, and F. Noo, “Redundant data and exact helical cone-beam reconstruction,” Physics in Medicine and Biology, vol. 49, no. 11, pp. 2219–2238, 2004. View at Publisher · View at Google Scholar
  10. I. A. Feldkamp, L. C. Davis, and J. W. Kress, “Practical cone-beam algorithm,” Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 1, no. 6, pp. 612–619, 1984. View at Google Scholar
  11. G. Wang, T.-H. Lin, P.-C. Cheng, and D. M. Shinozaki, “General cone-beam reconstruction algorithm,” IEEE Transactions on Medical Imaging, vol. 12, no. 3, pp. 486–496, 1993. View at Publisher · View at Google Scholar
  12. C. R. Crawford and K. F. King, “Computed tomography scanning with simultaneous patient translation,” Medical Physics, vol. 17, no. 6, pp. 967–982, 1990. View at Publisher · View at Google Scholar
  13. M. D. Silver, “A method for including redundant data in computed tomography,” Medical Physics, vol. 27, no. 4, pp. 773–774, 2000. View at Publisher · View at Google Scholar
  14. X. Tang, “Matched view weighting in tilted-plane-based reconstruction algorithms to suppress helical artifacts and optimize noise characteristics,” Medical Physics, vol. 30, no. 11, pp. 2912–2918, 2003. View at Publisher · View at Google Scholar
  15. X. Tang and J. Hsieh, “A filtered backprojection algorithm for cone beam reconstruction using rotational filtering under helical source trajectory,” Medical Physics, vol. 31, no. 11, pp. 2949–2960, 2004. View at Publisher · View at Google Scholar
  16. M. Defrise and R. Clack, “Cone-beam reconstruction algorithm using shift-variant filtering and cone-beam backprojection,” IEEE Transactions on Medical Imaging, vol. 13, no. 1, pp. 186–195, 1994. View at Publisher · View at Google Scholar
  17. P. E. Danielsson, P.-E. P. Edholm, J. Eriksson, and M. Magnusson-Seger, “Towards exact 3D-reconstruction for helical cone-beam scanning of long objects: a new arrangement and a new completeness condition,” in International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, pp. 141–144, Pittsburgh, Pa, USA, June 1997.
  18. S. Schaller, T. Flohr, and P. Steffen, “New efficient Fourier-reconstruction method for approximate image reconstruction in spiral cone-beam CT at small cone angles,” in Medical Imaging 1997: Physics of Medical Imaging, vol. 3032 of Proceedings of SPIE, pp. 213–224, Newport Beach, Calif, USA, February 1997.
  19. H. Tuy, “3D image reconstruction for helical partial cone beam scanners using wedge beam transform,” Patent, US 6,104,775, 2000.
  20. X. Yan and R. M. Leahy, “Cone beam tomography with circular, elliptical and spiral orbits,” Physics in Medicine and Biology, vol. 37, no. 3, pp. 493–506, 1992. View at Publisher · View at Google Scholar
  21. D. L. Parker, “Optimal short scan convolution reconstruction for fanbeam CT,” Medical Physics, vol. 9, no. 2, pp. 254–257, 1982. View at Publisher · View at Google Scholar
  22. J. Hsieh, “A general approach to the reconstruction of x-ray helical computed tomography,” Medical Physics, vol. 23, no. 2, pp. 221–229, 1996. View at Publisher · View at Google Scholar
  23. K. Taguchi and H. Aradate, “Algorithm for image reconstruction in multi-slice helical CT,” Medical Physics, vol. 25, no. 4, pp. 550–561, 1998. View at Publisher · View at Google Scholar
  24. H. Hu, “Multi-slice helical CT: scan and reconstruction,” Medical Physics, vol. 26, no. 1, pp. 5–18, 1999. View at Publisher · View at Google Scholar
  25. R. Proska, Th. Koehler, M. Grass, and J. Timmer, “The n-PI-method for helical cone-beam CT,” IEEE Transactions on Medical Imaging, vol. 19, no. 9, pp. 848–863, 2000. View at Publisher · View at Google Scholar
  26. A. Katsevich, “On two versions of a 3π algorithm for spiral CT,” Physics in Medicine and Biology, vol. 49, no. 11, pp. 2129–2143, 2004. View at Publisher · View at Google Scholar
  27. H. Yu, Y. Ye, S. Zhao, and G. Wang, “A backprojection-filtration algorithm for nonstandard spiral cone-beam CT with an n-PI-window,” Physics in Medicine and Biology, vol. 50, no. 9, pp. 2099–2111, 2005. View at Publisher · View at Google Scholar