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International Journal of Biomedical Imaging
Volume 2007, Article ID 87319, 10 pages
http://dx.doi.org/10.1155/2007/87319
Research Article

Cone-Beam Composite-Circling Scan and Exact Image Reconstruction for a Quasi-Short Object

Biomedical Imaging Division, VT-WFU School of Biomedical Engineering and Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA

Received 12 November 2007; Accepted 20 November 2007

Academic Editor: M. Jiang

Copyright © 2007 Hengyong Yu and Ge Wang. 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. G. N. Hounsfield, “Computerized transverse axial scanning (tomography): part I. Description of system,” The British journal of radiology, vol. 46, pp. 1016–1022, 1973. View at Google Scholar
  2. R. A. Robb, E. A. Hoffman, and L. J. Sinak, “High-speed three-dimensional X-ray computed tomography: the dynamic spatial reconstructor,” Proceedings of the IEEE, vol. 71, no. 3, pp. 308–319, 1983. View at Google Scholar
  3. E. L. Ritman, R. A. Robb, and L. D. Harris, Imaging Physiological Functions: Experience with the DSR, Praeger, Philadelphia, Pa, USA, 1985.
  4. G. Wang, T. H. Lin, P C. Cheng, D. M. Shinozaki, and H.-G. Kim, “Scanning cone-beam reconstruction algorithms for X-ray microtomography,” in Scanning Microscopy Instrumentation, vol. 1556 of Proceedings of SPIE, pp. 99–112, San Diego, Calif, USA, July 1991.
  5. G. Wang, T.-H. Lin, P.-C. Cheng, and D. M. Shinozaki, “A 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
  6. W. A. Kalender, “Thin-section three-dimensional spiral CT: is isotropic imaging possible?” Radiology, vol. 197, no. 3, pp. 578–580, 1995. View at Google Scholar
  7. 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
  8. M. Kachelrieß, S. Schaller, and W. A. Kalender, “Advanced single-slice rebinning in cone-beam spiral CT,” Medical Physics, vol. 27, no. 4, pp. 754–772, 2000. View at Publisher · View at Google Scholar
  9. D. W. Holdsworth and M. M. Thornton, “Micro-CT in small animal and specimen imaging,” Trends in Biotechnology, vol. 20, no. 8, pp. S34–S39, 2002. View at Publisher · View at Google Scholar
  10. M. J. Paulus, S. S. Gleason, M. E. Easterly, and C. J. Foltz, “A review of high-resolution X-ray computed tomography and other imaging modalities for small animal research,” Lab Animal, vol. 30, no. 3, pp. 36–45, 2001. View at Google Scholar
  11. G. Wang and M. Vannier, “Micro-CT scanners for biomedical applications: an overview,” Advanced Imaging, vol. 16, no. 7, pp. 18–27, 2001. View at Google Scholar
  12. J. D. Pack, F. Noo, and H. Kudo, “Investigation of saddle trajectories for cardiac CT imaging in cone-beam geometry,” Physics in Medicine and Biology, vol. 49, no. 11, pp. 2317–2336, 2004. View at Publisher · View at Google Scholar
  13. H. Yu, S. Zhao, Y. Ye, and G. Wang, “Exact BPF and FBP algorithms for nonstandard saddle curves,” Medical Physics, vol. 32, no. 11, pp. 3305–3312, 2005. View at Publisher · View at Google Scholar
  14. G. Wang and H. Yu, “Scanning Method and System for Cardiac Imaging,” July 2007, Patent disclosure submitted to Virginia Tech. Intellectual Properties. View at Google Scholar
  15. Y. Ye, S. Zhao, H. Yu, and G. Wang, “Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves,” in Developments in X-Ray Tomography IV, vol. 5535 of Proceedings of SPIE, pp. 293–300, Denver, Colo, USA, August 2004. View at Publisher · View at Google Scholar
  16. Y. Ye, S. Zhao, H. Yu, and G. Wang, “A general exact reconstruction for cone-beam CT via backprojection-filtration,” IEEE Transactions on Medical Imaging, vol. 24, no. 9, pp. 1190–1198, 2005. View at Publisher · View at Google Scholar
  17. 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
  18. A. Katsevich, “An improved exact filtered backprojection algorithm for spiral computed tomography,” Advances in Applied Mathematics, vol. 32, no. 4, pp. 681–697, 2004. View at Publisher · View at Google Scholar
  19. 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 Google Scholar
  20. G. Wang and M. W. Vannier, “Bolus-chasing angiography with adaptive real-time computed tomography,” 2003, US patent no. 6, 535, 821. View at Google Scholar
  21. G. Wang and Y. Ye, “Nonstandard spiral cone-beam scanning methods, apparatus, and applications,” Patent disclosure filled with University of Iowa, November 2003 (US Provisional patent application pending).
  22. Y. Ye and G. Wang, “Filtered backprojection formula for exact image reconstruction from cone-beam data along a general scanning curve,” Medical Physics, vol. 32, no. 1, pp. 42–48, 2005. View at Publisher · View at Google Scholar
  23. S. Zhao, H. Yu, and G. Wang, “A unified framework for exact cone-beam reconstruction formulas,” Medical Physics, vol. 32, no. 6, pp. 1712–1721, 2005. View at Publisher · View at Google Scholar
  24. 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
  25. G. Wang, Y. Ye, and H. Yu, “Appropriate and exact cone-beam reconstruction with standard and nonstandard spiral scanning,” Physics in Medicine and Biology, vol. 52, no. 6, pp. R1–R13, 2007. View at Google Scholar
  26. B. King, Ed., Beyond the Quartic Equation, Springer, Boston, Mass, USA, 1996.
  27. H. Yu and G. Wang, “Studies on implementation of the Katsevich algorithm for spiral cone-beam CT,” Journal of X-Ray Science and Technology, vol. 12, no. 2, pp. 97–116, 2004. View at Google Scholar
  28. L. A. Shepp and B. F. Logan Jr., “The fourier reconstruction of a head section,” IEEE Transactions on Nuclear Science, vol. NS-21, no. 3, pp. 21–43, 1974. View at Google Scholar
  29. H. Yu, S. Zhao, and G. Wang, “A differentiable Shepp-Logan phantom and its applications in exact cone-beam CT,” Physics in Medicine and Biology, vol. 50, no. 23, pp. 5583–5595, 2005. View at Publisher · View at Google Scholar
  30. A. Katsevich and M. Kapralov, “Theoretically exact FBP reconstruction algorithms for two general classes of curves,” in Proceedings of the 9th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, pp. 80–83, Lindau, Germany, 2007.
  31. A. Katsevich, “Image reconstruction for a general circle-plus trajectory,” Inverse Problems, vol. 23, no. 5, pp. 2223–2230, 2007. View at Google Scholar
  32. C. Liu and C. R. Traas, “On convexity of planar curves and its application in CAGD,” Computer Aided Geometric Design, vol. 14, no. 7, pp. 653–669, 1997. View at Publisher · View at Google Scholar