Preconditioning Methods for Improved Convergence Rates in Iterative Reconstructions

IEEE Transactions on Medical Imaging

Volumn 12, Issue 1, 1993, Pages 78-83

  Clinthorne, Neal H ^a   Pan, Tin Su ^b   Chiao, Ping Chun ^a   Rogers, W Leslie ^a   Stamos, John A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF MASSACHUSETTS MEDICAL SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTERIZED TOMOGRAPHY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MEDICAL APPLICATIONS; MEDICAL IMAGING; SIGNAL FILTERING AND PREDICTION;

CONVERGENCE RATES; ITERATIVE RECONSTRUCTION; POISSON NOISE; PRECONDITIONING METHODS; TOMOGRAPHIC SYSTEM RESPONSE;

IMAGE RECONSTRUCTION;

EID: 0027568637     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/42.222670     Document Type: Article

References (12)

1. G.H. Golub and C. F. Van Loan, Matrix Computations, Second Edition. Baltimore, MD: The Johns Hopkins University Press, 1989.
2. P. P. B. Eggermont, G. T. Herman, and A. Lent, “Iterative algorithms for large partitioned linear systems with applications to image reconstruction,” Linear Algebra Appl., vol. 40, 37–67, 1981.
3. T.-S. Pan, “The generalized Landweber iteration in positron emission tomography,” Ph.D. dissertation, Univ. Michigan, Dep. EECS Ann Arbor, MI, 1991.
4. C.-C. J. Kuo and B. C. Levy, “Discretization and solution of elliptic partial differential equations—A digital signal processing approach,” IEEE Proc., vol. 78, pp. 1808–1842, 1990.
5. O. N. Strand, “Theory and methods related to the singular-function expansion and Landweber's iteration for integral equations of the first kind,” SIAM J. Numer. Anal., vol. 11, no. 4, pp. 798–825, 1974.
6. R. W. Schafer, R. M. Mersereau, and M. A. Richards, “Constrained iterative restoration algorithms,” IEEE Proc., vol. 69, pp. 432–450, 1981.
7. A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science. New York: Springer-Verlag, 1982, pp. 125–134.
8. B. R. Hunt, “The application of constrained least squares estimation to image restoration by digital computer,” IEEE Trans. Comput., vol. C-22, pp. 805–812, 1973.
9. G. Dememont, “Image reconstruction and restoration: Overview of common estimation structures and problems,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2024–2036, 1989.
10. X. Wang, “Weighted regularization and its applications,” Ph.D. dissertation, Univ. Michigan, Dep. EECS, Ann Arbor, MI, 1991.
11. L. Kaufman, “Implementing and accelerating the EM algorithm for positron emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 37–51, 1987.
12. J. A. Stamos, W. L. Rogers, N. H. Clinthorne, and K. F. Koral, “Object-dependent performance comparison of two iterative reconstruction algorithms,” IEEE Trans. Nucl. Sci., vol. 35, pp. 611–614, 1988.