International Journal of Biomedical Imaging
Volume 2008 (2008), Article ID 242841, 11 pages
doi:10.1155/2008/242841
Research Article
An Efficient Estimation Method for Reducing the Axial Intensity Drop in Circular Cone-Beam CT
1Department of Radiology, Stanford University, Stanford, CA 94305, USA
2Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA
Received 9 April 2008; Accepted 8 August 2008
Academic Editor: Jiang Hsieh
Copyright © 2008 Lei Zhu 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
- H. K. Tuy, “An inversion formula for cone-beam reconstruction,” SIAM Journal on Applied Mathematics, vol. 43, no. 3, pp. 546–552, 1983.
- I. A. Feldkamp, L. C. Davis, and J. W. Kress, “Practical cone-beam algorithm,” Journal of the Optical Society of America A, vol. 1, no. 6, pp. 612–619, 1984.
- P. Grangeat, “Mathematical framework of cone-beam 3D reconstruction via the first derivativeof the
Radon transform,” in Mathematical Methods in Tomography, vol. 1497 of Lecture Notes in Mathematics, pp. 66–97, Springer, Berlin, Germany, 1991.
- 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.
- H. Hu, “An improved cone-beam reconstruction algorithm for the circular orbit,” Scanning, vol. 18, pp. 572–581, 1996.
- T.-L. Zhuang, B. E. Nett, X. Tang, and G.-H. Chen, “A cone-beam FBP reconstruction algorithm for short-scan and super-short-scan source trajectories,” in Developments in X-Ray Tomography IV, vol. 5535 of Proceedings of SPIE, pp. 566–576, Denver, Colo, USA, August 2004.
- F. Noo and D. J. Heuscher, “Image reconstruction from cone-beam data on a circular short-scan,” in Medical Imaging 2002: Image Processing, vol. 4684 of Proceedings of SPIE, pp. 50–59, San Diego, Calif, USA, February 2002.
- S. W. Lee and G. Wang, “A Grangeat-type half-scan algorithm for cone-beam CT,” Medical Physics, vol. 30, no. 4, pp. 689–700, 2003.
- H. Turbell, Cone-beam reconstruction using filtered backprojection, Ph.D. thesis, Department of Electrical Engineering, Linkopings Universitet, Linkoping, Sweden, February 2001.
- M. Grass, Th. Köhler, and R. Proksa, “3D cone-beam CT reconstruction for circular trajectories,” Physics in Medicine and Biology, vol. 45, no. 2, pp. 329–347, 2000.
- X. Wang and R. Ning, “A cone-beam reconstruction algorithm for circle-plus-arcdata-acquisition geometry,” IEEE Transactions on Medical Imaging, vol. 18, no. 9, pp. 815–824, 1999.
- G. L. Zeng and G. T. Gullberg, “A cone-beam tomography algorithm for orthogonal circle-and-line orbit,” Physics in Medicine and Biology, vol. 37, no. 3, pp. 563–577, 1992.
- X. Tang and R. Ning, “A cone beam filtered backprojection (CB-FBP) reconstruction algorithm for a circle-plus-two-arc orbit,” Medical Physics, vol. 28, no. 6, pp. 1042–1055, 2001.
- H. Kudo and T. Saito, “Derivation and implementation of a cone-beam reconstruction algorithm for nonplanar orbits,” IEEE Transactions on Medical Imaging, vol. 13, no. 1, pp. 196–211, 1994.
- K. Zeng, Z. Chen, L. Zhang, and G. Wang, “A half-scan error reduction based algorithm for cone-beam CT,” Journal of X-Ray Science and Technology, vol. 12, no. 2, pp. 73–82, 2004.
- K. Zeng, Z. Chen, L. Zhang, and G. Wang, “An error-reduction-based algorithm for cone-beam computed tomography,” Medical Physics, vol. 31, no. 12, pp. 3206–3212, 2004.
- X. Tang, J. Hsieh, A. Hagiwara, R. Nilsen, C. Shaughnessy, and E. Drapkin, “Axial reconstruction algorithms for cone-beam volumetric CT,” in Proceedings of the Radiological Society of North America (RSNA '05), Chicago, Ill, USA, November-December 2005.
- L. Yu, X. Pan, and C. A. Pelizzari, “Image reconstruction with a shift-variant filtration in circular cone-beam CT,” International Journal of Imaging Systems and Technology, vol. 14, no. 5, pp. 213–221, 2005.
- H. Yang, M. Li, K. Koizumi, and H. Kudo, “FBP-type cone-beam reconstruction algorithm with
Radon space interpolationcapabilities for axially truncated data from a circular orbit,” Medical Imaging Techonology, vol. 24, no. 3, pp. 201–208, 2006.
- D. L. Parker, “Optimal short scan convolution reconstruction for fanbeam CT,” Medical Physics, vol. 9, no. 2, pp. 254–257, 1982.
- F. Natterer, The Mathematics of Computerized Tomography, Wiley-Teubner, New York, NY, USA, 1986.
- F. Noo, R. Clackdoyle, and J. D. Pack, “A two-step Hilbert transform method for 2D image reconstruction,” Physics in Medicine and Biology, vol. 49, no. 17, pp. 3903–3923, 2004.
- A. C. Kak and M. Slaney, Principles of Computerized Tomography Imaging, IEEE Press, Piscataway, NJ, USA, 1987.
- L. Zhu, J. Starman, and R. Fahrig, “The relationship between the T-FDK algorithm and the Hu-FDK algorithm,” in Proceedings of the 9th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, pp. 366–369, Lindau, Germany, July 2007.