An EM algorithm for dynamic SPECT

IEEE Transactions on Medical Imaging

Volumn 18, Issue 3, 1999, Pages 252-261

  Bauschke, Heinz H ^a   Noll, Dominikus ^a   Borwein, J M ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; HUMAN; METHODOLOGY; REPRODUCIBILITY; REVIEW; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY; STATISTICAL MODEL;

ALGORITHMS; HUMANS; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

ALGORITHMS; COMPUTERIZED TOMOGRAPHY; MATHEMATICAL MODELS; NUCLEAR MEDICINE; PHYSIOLOGICAL MODELS; PROBABILITY;

SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY (SPECT);

MEDICAL IMAGING;

EID: 0033090515     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/42.764899     Document Type: Article

References (38)

1. C. Bai, G. L. Zeng, G. T. Gullberg, F. DiFilippo, and S. Miller Slab-by-slab blurring model for geometric point response correction and attenuation correction using iterative reconstruction algorithms," in Proc. IEEE Medical Imaging Conf., Albuquerque, NM, Nov. 1997.
2. H. H. Bauschke and J. M. Borwein Convex functions of Legendre type and the method of cyclic Bregman projections onto convex sets in Euclidean space," J. Convex Anal., vol. 4, no. 1, pp. 27-67, 1997.
3. H. H. Bauschke and J. M. Borwein On the convergence of von Neumann's alternating projection algorithm for two sets," Set-Valued Analy., vol. 1, no. 2, pp. 185-212, 1993.
4. H. H. Bauschke, J. M. Borwein, and A. S. Lewis Convex sets and the cyclic projection algorithm," in Recent Developments in Optimization Theory and Nonlinear Analysis, Y. Censor and S. Reich, Eds. Jerusalem, Israel, 1995.
5. J. M. Borwein and W. Sun The stability analysis of dynamic SPECT systems," Numerische Mathematik, vol. 77, no. 3, pp. 283-298, 1997.
6. A. V. Bronnikov Degradation transform in tomography," Pattern Recognit. Lett., vol. 15, pp. 527-532, 1994.
7. C. L. Byrne Iterative image reconstruction algorithms based on crossentropy minimization," IEEE Trans. Image Processing, vol. 2, pp. 96-103, 1993.
8. R. E. Carson and K. Lange The EM parametric image reconstruction algorithm," J. Amer. Statist. Assoc., vol. 80, no. 389, pp. 20-22, 1985.
9. A. Celler, A. Sitek, and R. Harrop Reconstruction of multiple line source attenuation maps," IEEE Trans. Nucl. Sci., vol. 44, pp. 1503-1506, 1997.
10. F. Clarice Optimization and nonsmooth analysis," SIAM Classics Appl. Math., vol. 5, 1990.
11. I. Csiszâr and G. Tusnâdy Information geometry and alternating minimization procedures," Statist. Decisions, vol. 1, pp. 205-237, 1984.
12. A. P. Dempster, N. M. Laird, and D. B. Rubin Maximum likelihood from incomplete data via the EM algorithm," J. R. Statist Soc. Ser. B, vol. 39, pp. 1-38, 1977.
13. V. Dicken Simultaneous activity and attenuation reconstruction in SPECT, a nonlinear ill-posed problem," Ph.D. thesis, Univ. Potsdam, 1997.
14. M. P. J. Hudon, D. M. Lyster, W. R. E. Jamieson, A. K. Qayumi, C. Sartori, and H. A. Dougan The metabolism of (123I)-iodophenyl pentadecanoic acid in a surgically induced canine model of regional ischemia," European J. Nucl. Med., vol. 16, pp. 199-204, 1990.
15. H. lida, H. Itoh, M. Nakazawa, J. Hatazawa, H. Nishimura, Y. Onish, and K. Uemura Quantitative mapping of regional cerebral blood flow using Iodine-123-IMP and SPECT," J. Nucl. Med., vol. 35, pp. 2019-2030, 1994.
16. A. N. lusem A short convergence proof of the EM algorithm fora specific Poisson model," Revista Brasiteira de Probabilidade e Estatistica, vol. 6, pp. 57-67, 1992.
17. A. N. lusem Convergence analysis for a multiplicatively relaxed EM algorithm," Math. Methods Appl. Sci., vol. 14, pp. 573-593, 1991.
18. M. A. King, B. M. W. Tsui, and T. P. Pan Attenuation compensation for cardiac single photon emission computed tomographic imaging: Part 1. Impact of attenuation and methods of estimating attenuation maps," J. Nucl. Cardioi, vol. 2 pp. 513-524, 1995.
19. M. King, B. Tsui, T. P. Pan, S. J. Click, and E. J. Soares Attenuation compensation for cardiac single-photon emission computed tomographic imaging: Part 2. Attenuation compensation algorithms," J. Nucl. Cardioi., vol. 3, pp. 55-64, 1996.
20. M. N. Limber, A. Celler, J. S. Barney, M. A. Limber, and J. Borwein Direct reconstruction of functional parameters for dynamic," IEEE Trans. Nucl. Sei, vol. 42, pp. 1249-1256, 1995.
21. Maeght, J. D. Noll, A. Celler, and T. Farncombe Methods for dynamic emission tomography, Laboratoire Mathématiques pour l'Industrie et le Physique (MIP)," Tech. Rep. LAO 97-08.
22. T. K. Moon The expectation-maximization algorithm," IEEE Signal Processing Mag., vol. 13, pp. 47-60, June 1996.
23. K. Nakajima, J. Taki, H. Bunko, M. Matsudaira, A. Muramori, I. Matsunari, K. Hisadaa, and T. Ichihara Dynamic acquisition with tree-headed SPECT system: Application to technetium 99m-SQ30217 myocardial imaging," J. Nucl. Med., vol. 32, pp. 1273-1277, 1991.
24. F. Natterer Determination of tissue attenuation in emission tomography of optically dense media," Inverse Problems, vol. 9, pp. 731-736, 1993.
25. D. Noll Restoration of degraded images with maximum entropy," J. Global Optimization, vol. 10, pp. 91-103, 1997.
26. D. Noll Reconstruction with noisy data-An approach via eigenvalue optimization," SIAM J. Optimization, vol. 8, no. 1, pp. 82-104, 1998.
27. A. R. De Pierro On the relation between ISRA and the EM algorithm for positron emission tomography," IEEE Trans. Med. Imag., vol. 12, pp. 328-333, 1993.
28. A. R. De Pierro A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography," IEEE Trans. Med. Imag., vol. 14, pp. 132-137, 1995.
29. G. A. F. Seber, Multivariate Observations (Wiley Series Probability and Mathematical Statistics). New York: Wiley, 1984.
30. A. M. Smith, G. T. Gullberg, P. E. Christian, and F. L. Datz Kinetic modeling of teboroxime using dynamic SPECT imaging of a canine model," J. Nucl. Med., vol. 35, pp. 484-495, 1994.
31. P. Tan, D. Bailey, S. Meikle, S. Eberl, R. Fulton, and B. Hutton A scanning line source for simultaneous emission and transmission measurements in SPECT," J. Nucl. Med., vol. 34, pp. 1752-1760, 1993.
32. C. H. Tung, G. T. Gullberg, G. L. Zeng, P. E. Christian, F. L. Datz, and H. T. Morgan Non-uniform attenuation correction using simultaneous transmission and emission converging tomography," IEEE Trans. Nucl. Sci., vol. 339, pp. 1134-1143, 1992.
33. L. Van Elmbt and S. Walrand Simultaneous correction of attenuation and distance-dependent resolution in SPECT: An analytical approach," Phys. Med. Biol, vol. 38, pp. 1107-1217, 1993.
34. Y. Vardi, L. A. Shepp, and L. Kaufman A statistical model for positron emission tomography," J. Amer. Statist. Assoc., vol. 80, no. 389, pp. 8-20, 1985.
35. A. Welch, R. Clack, F. Natterer, and G. T. Gullberg Toward accurate attenuation correction in SPECT without transmission measurements," IEEE Trans. Med. Imag., vol. 16, no. 5, pp. 532-541, 1997.
36. R. G. Wells, A. Celler, and R. Harrop Experimental validation of an analytical method of calculation of photon distributions," IEEE Trans. Nucl. Sci., vol. 44, pp. 1283-1290, 1997.
37. K. P. Whittall and A. L. MacKay Quantitative interpretation of NMR relaxation data," J. Magn. Resonance, vol. 84, pp. 134-152, 1989.
38. C. F. J. Wu On the convergence properties of the EM-algorithm," Ann. Statist., vol. 11, no. 1, pp. 95-103, 1983.