Practical Tradeoffs Between Noise, Quantitation, and Number of Iterations for Maximum Likelihood-Based Reconstructions

IEEE Transactions on Medical Imaging

Volumn 10, Issue 4, 1991, Pages 563-571

  Liow, Jeih San ^a   Strother, Stephen C ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL TECHNIQUES - ITERATIVE METHODS; NOISE, SPURIOUS SIGNAL; PROBABILITY; SIGNAL FILTERING AND PREDICTION;

FILTERED BACKPROJECTION; GAUSSIAN ITERATION KERNEL; MAXIMUM LIKELIHOOD BASED RECONSTRUCTION; QUANTIZATION ERRORS;

IMAGE PROCESSING;

EID: 0026406219     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/42.108591     Document Type: Article

References (20)

1. H. C. Andrews and B. R. Hunt, Digital Image Restoration. Englewood Cliffs, NJ: Prentice-Hall, 1977.
2. L. G. Byars, CTI, personal communication.
3. S. Holte, P. Schmidlin, A. Linden, G. Rosenqvist, and L. Eriksson, “Iterative image reconstruction for emission tomography: A study of convergence and quantitation problems,” IEEE Trans. Nucl. Sci., vol. 37, pp. 629–635, 1990.
4. W. F. Jones, L. G. Byars, and M. E. Casey, “Positron emission tomographic images and expectation maximization: A VLSI architecture for multiple iterations per second,” IEEE Trans. Nucl. Sci., vol. 35, pp. 620–624, 1988.
5. R. M. Kessler, J. R. Ellis, Jr., and Murray Eden, “Analysis of emission tomographic scan data: Limitations imposed by resolution and background,” J. Comput. Assist. Tomograph., vol. 8, pp. 514–522, 1984.
6. H. A. Klotz and D. L. Snyder, “A hardware architecture using finite-field arithmetic for computing maximum-likelihood estimates in emission tomography,” IEEE Trans. Med. Imaging, vol. 7, pp. 279–290, 1988.
7. K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J. Comput. Assist. Tomogr., vol. 8, pp. 306–316, 1984.
8. R. M. Lewitt and G. Muehllehner, “Accelerated iterative reconstruction for positron emission tomography based on the EM algorithm for maximum likelihood estimation,” IEEE Trans. Med. Imaging, vol. MI-5, pp. 16–22, 1986.
9. J. Llacer, S. Andreae, and E. Veklerov, “Towards a practical implementation of the MLE algorithm for positron emission tomography,” IEEE Trans. Nucl. Sci., vol. NS-33, pp. 468–477, 1986.
10. J. Llacer and E. Veklerov, “Feasible images and practical stopping rules for iterative algorithms in emission tomography,” IEEE Trans. Med. Imaging, vol. 8, pp. 186–193, 1989.
11. T. M. Peters, “Algorithm for fast back and reprojection in computed tomography,” IEEE Trans. Nucl. Sci., vol. NS-28, pp. 3641–3647, 1981.
12. D. G. Politte, “Image improvements in positron-emission tomography due to measuring differential time-of-flight and using maximum-likelihood estimation,” IEEE Trans. Nucl. Sci., vol. 37, pp. 737–742, 1990.
13. G. Rosenqvist, M. Dahlbom, L. Eriksson, C. Bohm, and G. Biomqvist, “Quantitation of PET data with the EM reconstruction technique,” IEEE Trans. Nucl. Sci., vol. 36, pp. 1113–1116, 1989.
14. L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging, vol. MI-1, pp. 113-122, 1982.
15. D. L. Snyder and M. T. Miller, “The use of sieves to stabilize images produced with the EM algorithm for emission tomography,” IEEE Trans. Nucl. Sci., vol. NS-32, pp. 3864–3872, 1985.
16. D. L. Snyder, M. I. Miller, L. J. Thomas, Jr., and D. G. Politte, “Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 228–238, 1987.
17. E. Tanaka, “A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 98–105, 1987.
18. 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.
19. E. Veklerov, J. Llacer, and E. J. Hoffman, “MLE reconstruction of a brain phantom using a Monte-Carlo transition matrix and a statistical stopping rule,” IEEE Trans. Nucl. Sci., vol. 35, pp. 603–607, 1988.
20. E. Veklerov and J. Llacer, “The feasibility of images reconstructed with the method of sieves,” IEEE Trans. Nucl. Sci., vol. 37, pp. 835–841, 1990