Feasible Images and Practical Stopping Rules for Iterative Algorithms in Emission Tomography

IEEE Transactions on Medical Imaging

Volumn 8, Issue 2, 1989, Pages 186-193

  Llacer, Jorge ^a   Veklerov, Eugene ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING--RECONSTRUCTION; PROBABILITY; RADIOGRAPHY;

EMISSION TOMOGRAPHY; FEASIBLE IMAGES; IMAGE DETERIORATION; MLE IMAGE RECONSTRUCTION; POISSON PROCESS;

BIOMEDICAL ENGINEERING;

EID: 0024683826     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/42.24867     Document Type: Article

References (24)

1. E. Veklerov and J. Llacer, “Stopping rule for the MLE algorithm based on statistical hypothesis testing,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 313–319, 1987.
2. T. Hebert, R. Leahy, and M. Singh, “Fast MLE for SPECT using an intermediate polar representation and a stopping criterion,” IEEE Trans. Nucl. Sci., vol. NS-35, Feb. 1988.
3. M. Defrise, “Possible criteria for choosing the number of iterations in some iterative reconstruction methods,” in Proc. NATO Advanced Summer Inst, on Math. Comput. Sci. in Med. Imaging, El Ciocco, Italy, 1986.
4. L.A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging, vol. MI-1, pp. 113–122, 1982.
5. H.J. Trussell, “Convergence criteria for iterative restoration methods,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, Feb. 1983.
6. H.J. Trussell and M.R. Civanlar, “The feasible solution in signal restoration,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, Apr. 1984.
7. M.I. Sezan and H. Stark, “Image restoration by the method of convex projections: Part 2-Applications and numerical results,” IEEE Trans. Med. Imaging, vol. MI-1, Oct. 1982.
8. H.J. Trussell, H. Orun-Ozturk, and M.R. Civanlar, “Errors in backprojection methods in computerized tomography,” IEEE Trans. Med. Imaging, vol. MI-6, Sept. 1987.
9. B.P. Medoff, W.R. Brody, M. Nassi, and A. Macovski, “Iterative convolution backprojection algorithms for image reconstruction from limited data,” J. Opt. Soc. Amer., Nov. 1983.
10. R.K. Ward and B.E.A. Saleh, “Deblurring random blur,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, Oct. 1987.
11. J. Skilling and R.K. Bryan, “Maximum entropy image reconstruction: General algorithm,” Mon. Not. R. Astr. Soc., vol. 211, pp. 111–124, 1984.
12. J.G. Abies, “Maximum entropy spectral analysis,” Astron. Astrophys. Suppl., vol. 15, pp. 383–393, 1974.
13. S.F. Gull and G.J. Daniell, “Image reconstruction from incomplete and noisy data,” Nature, vol. 272, pp. 686–690, 1978.
14. R. Narayan and R. Nityananda, “Maximum entropy image restoration in astronomy,” Ann. Rev. Astron. Astrophys., vol. 24, pp. 127–170, 1986.
15. J. Reiter andJ. Pfleiderer, “Improvement of MEM-deconvolution by an additional constraint,” Astron. Astrophys., vol. 166, pp. 381–392, 1986.
16. J. Freund, Mathematical Statistics. Englewood Cliffs, NJ: Prentice-Hall, 1971.
17. J. Llacer and E. Veklerov, “The maximum likelihood estimator method of image reconstruction: Its fundamental characteristics and their origin,” in Proc. Xth Information Processing in Med. Imaging (IMPI) Int. Conf., Utrecht, The Netherlands, 1987.
18. E. Veklerov, J. Llacer, and E. Hoffman, “MLE reconstruction of a brain phantom using a Monte Carlo transition matrix and a statistical stopping rule,” IEEE Trans. Nucl. Sci., vol. NS-35, Feb. 1988.
19. J. Llacer, S. Andreae, E. Veklerov, and E. Hoffman, “Towards a practical implementation of the MLE algorithm for positron emission tomography,” IEEE Trans. Nucl. Sci., vol. NS-33, Feb. 1986.
20. L. Kaufman, “Implementing and accelerating the EM algorithm for positron emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, Mar. 1987.
21. C.W. Williams, M.C. Crabtree, and S.G. Burgiss, “Design and performance characteristics of a positron emission computed axial tomograph-ECAT-II,” IEEE Trans. Nucl. Sci., vol. NS-26, pp. 619–627, 1979.
22. S. Geman and D.E. McClure, “Statistical methods for tomographic image reconstruction,” in Proc. 46th Session ISI, Bulletin of the ISI, vol. 52, 1987.
23. J. Skilling and S.F. Gull, in Proc. AMS-IMS-SIAM Joint Summer Conf. Spatial Statist. Imaging, June 1988.
24. D.L. Snyder and M. 1. Miller, “The use of sieves to stabilize images produced with the EM algorithm for emission tomography,” IEEE Trans. Nucl. Sci., vol. NS-32, no. 5, 1985.