Accelerating ordered-subsets image reconstruction for X-ray CT using double surrogates

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 8313, Issue , 2012, Pages

  Cho, Jang Hwan ^a   Fessler, Jeffrey A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

cone beam tomography; double surrogates; iterative reconstruction; ordered subsets; regularization

Indexed keywords

CONE BEAM TOMOGRAPHY; DOUBLE SURROGATES; ITERATIVE RECONSTRUCTION; ORDERED-SUBSETS; REGULARIZATION;

ALGORITHMS; COMPUTERIZED TOMOGRAPHY; IMAGE QUALITY; IMAGE RECONSTRUCTION; MEDICAL IMAGING;

SET THEORY;

EID: 84860372603     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.911531     Document Type: Conference Paper

References (24)

1. Xu, W. and Mueller, K., "Evaluating popular non-linear image processing filters for their use in regularized iterative CT," in [Proc. IEEE Nuc. Sci. Symp. Med. Im. Conf. ], 2864-5 (2010).
2. Mustafovic, S. and Thielemans, K., "Object dependency of resolution in reconstruction algorithms with inter-iteration filtering applied to PET data," IEEE Trans. Med. Imag. 23, 433-46 (Apr. 2004).
3. Hudson, H. M. and Larkin, R. S., "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. Imag. 13, 601-9 (Dec. 1994).
4. Erdoǧan, H. and Fessler, J. A., "Ordered subsets algorithms for transmission tomography," Phys. Med. Biol. 44, 2835-51 (Nov. 1999).
5. Nocedal, J., "Large scale unconstrained optimization," in [The State of the Art in Numerical Analysis], Watson, A. and Duff, I., eds., Oxford University Press, Oxford (1996).
6. Kibardin, V. M., "Decomposition into functions in the minimization problem," Avtomatika i Telemekhanika 9, 66-79 (Sept. 1979).
7. Translation: p. 1311-23 in Plenum Publishing Co. "Adaptive Systems".
8. Bertsekas, D. P., "A new class of incremental gradient methods for least squares problems," SIAM J. Optim. 7, 913-26 (Nov. 1997).
9. Kamphuis, C. and Beekman, F. J., "Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm,"IEEE Trans. Med. Imag. 17, 1001-5 (Dec. 1998).
10. Herman, G. T. and Meyer, L. B., "Algebraic reconstruction techniques can be made computationally efficient," IEEE Trans. Med. Imag. 12, 600-9 (Sept. 1993).
11. Hamaker, C. and Solmon, D. C., "The angles between the null spaces of X rays," J. Math. Anal. Applic. 62, 1-22 (Jan. 1978).
12. De Pierro, A. R. and Yamagishi, M. E. B., "Fast EM-like methods for maximum 'a posteriori' estimates in emission tomography,"IEEE Trans. Med. Imag. 20, 280-8 (Apr. 2001).
13. Kudo, H., Nakazawa, H., and Saito, T., "Convergent block-iterative method for general convex cost functions," in [Proc. Intl. Mtg. on Fully 3D Image Recon. in Rad. and Nuc. Med], 247-250 (1999).
14. Neal, R. and Hinton, G. E., "A view of the EM algorithm that justifies incremental, sparse and other variants," in [Learning in Graphical Models], Jordan, M. I., ed., 255-68, Kluwer, Dordrencht (1998).
15. Blatt, D., Hero, A. O., and Gauchman, H., "A convergent incremental gradient method with a constant step size," SIAM J. Optim. 18(1), 29-51 (2007).
16. Huber, P. J., [Robust statistics ], Wiley, New York (1981).
17. Jacobson, M. W. and Fessler, J. A., "An expanded theoretical treatment of iteration-dependent majorize-minimize algorithms,"IEEE Trans. Im. Proc. 16, 2411-22 (Oct. 2007).
18. Hunter, D. R. and Lange, K., "A tutorial on MM algorithms," American Statistician 58, 30-7 (Feb. 2004).
19. Segars, W. P., Mahesh, M., Beck, T. J., Frey, E. C., and Tsui, B. M. W., "Realistic CT simulation using the 4D XCAT phantom,"Med. Phys. 35, 3800-8 (Aug. 2008).
20. Long, Y., Fessler, J. A., and Balter, J. M., "3D forward and back-projection for X-ray CT using separable footprints," IEEE Trans. Med. Imag. 29, 1839-50 (Nov. 2010).
21. Fessler, J. A. and Rogers, W. L., "Spatial resolution properties of penalized-likelihood image reconstruction methods: Spaceinvariant tomographs," IEEE Trans. Im. Proc. 5, 1346-58 (Sept. 1996).
22. Thibault, J.-B., Sauer, K., Bouman, C., and Hsieh, J., "A three-dimensional statistical approach to improved image quality for multi-slice helical CT," Med. Phys. 34, 4526-44 (Nov. 2007).
23. Feldkamp, L. A., Davis, L. C., and Kress, J. W., "Practical cone beam algorithm," J. Opt. Soc. Am. A 1, 612-9 (June 1984).
24. Ahn, S., Fessler, J. A., Blatt, D., and Hero, A. O., "Convergent incremental optimization transfer algorithms: Application to tomography," IEEE Trans. Med. Imag. 25, 283-96 (Mar. 2006).