Regularized image reconstruction algorithms for positron emission tomography

IEEE Transactions on Medical Imaging

Volumn 23, Issue 9, 2004, Pages 1165-1175

  Chang, Ji Ho ^a   Anderson, John M M ^a,b   Votaw, John R ^c  

^a J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

^b School of Engineering   (United States)

^c EMORY UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Penalized maximum likelihood (PML) method; Positron emission tomography (PET); Regularized image reconstruction

Indexed keywords

LOG LIKELIHOOD FUNCTION; PENALIZED MAXIMUM-LIKELIHOOD (PML) METHOD; PENALTY FUNCTIONS; REGULARIZED IMAGE RECONSTRUCTION;

ALGORITHMS; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; SPURIOUS SIGNAL NOISE; VECTORS;

POSITRON EMISSION TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER ASSISTED EMISSION TOMOGRAPHY; EVALUATION; HUMAN; IMAGE ENHANCEMENT; IMAGE QUALITY; INSTRUMENTATION; METHODOLOGY; REPRODUCIBILITY; SCINTISCANNING; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL; THORAX; THORAX TUMOR; VALIDATION STUDY;

ALGORITHMS; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; LIKELIHOOD FUNCTIONS; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; THORACIC NEOPLASMS; THORAX; TOMOGRAPHY, EMISSION-COMPUTED;

EID: 4444346772     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2004.831224     Document Type: Article

References (31)

1. L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imag., vol. MI-1, pp. 113-122, Oct. 1982.
2. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993, ch. 7.
3. D. L. Snyder and M. I. 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, Oct. 1985.
4. E. Levitan and G. T. Herman, "A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography," IEEE Trans. Med. Imag., vol. MI-6, pp. 185-192, Sept. 1987.
5. T. Hebert and R. Leahy, "A generalized EM algorithm for 3-D Bayesian reconstruction from poisson data using Gibbs priors," IEEE Trans. Med. Imag., vol. 8, pp. 194-202, June 1989.
6. P. J. Green, "Bayesian reconstructions from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imag., vol. 9, pp. 84-93, Mar. 1990.
7. K. Lange, "Convergence of EM image reconstruction algorithms with Gibbs smoothing," IEEE Trans. Med. Imag., vol. 9, pp. 439-446, Dec. 1990.
8. A. R. De Pierro, "On the relation between the ISRA and the EM algorithm for positron emission tomography," IEEE Trans. Med. Imag., vol. 12, pp. 328-333, June 1993.
9. C. L. Byrne, "Iterative image reconstruction algorithms based on cross-entropy minimization," IEEE Trans. Image Processing, vol. 2, pp. 96-103, Jan. 1993.
10. Z. Wu, "MAP image reconstruction using wavelet decomposition," in Proc. 13th Conf. Information Processing in Medical Imaging, 1993, pp. 354-371.
11. E. Ü. Mumcuoǧlu, R. Leahy, S. R. Cherry, and Z. Zhou, "Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET Images," IEEE Trans. Med. Imag., vol. 13, pp. 687-701, Dec. 1994.
12. J. A. Fessler and A. O. Hero, "Penalized maximum-likelihood image reconstruction using space-alternating generalized EM algorithms," IEEE Trans. Image Processing, vol. 4, pp. 1417-1429, Oct. 1995.
13. 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, Mar. 1995.
14. C. A. Bouman and K. Sauer, "A unified approach to statistical tomography using coordinate descent optimization," IEEE Trans. Image Processing, vol. 5, pp. 480-492, Mar. 1996.
15. S. Alenius, U. Ruotsalainen, and J. Astola, "Using local median as the location of the prior distribution in iterative emission tomography image reconstruction," IEEE Trans. Nucl. Sci., vol. 45, pp. 3097-3104, Dec. 1998.
16. A. R. De Pierro and M. E. B. Yamagishi, "Fast EM-like methods for maximum a posteriori estimates in emission tomography," IEEE Trans. Med. Imag., vol. 20, pp. 280-288, Apr. 2001.
17. I.-T. Hsiao, A. Rangarajan, and G. Gindi, "A new convergent MAP re-construction algorithm for emission tomography using ordered subsets and separable surrogates," in Proc. IEEE Int. Symp. Biomedical Imaging, 2002, pp. 409-412.
18. S. Ahn and J. A. Fessler, "Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms," IEEE Trans. Med. Imag., vol. 22, pp. 613-626, May 2003.
19. W. I. Zangwill, Nonlinear Programming. Englewood Cliffs, NJ: Prentice-Hall, 1969, pp. 36-49.
20. M. S. Bazaraa, H. D. Sherali, and C. M. Shetty. Nonlinear Programming: Theory and Algorithms, 2nd ed. New York: Wiley. 1993, pp. 283-287.
21. J. A. Fessler, "Penalized weighted least-squares image reconstruction for positron emission tomography," IEEE Trans. Med. Imag., vol. 13, pp. 290-300, June 1994.
22. D. G. Luenberger, Linear and Nonlinear Programming, 2nd ed. Reading, MA: Addison-Wesley, 1984, pp. 201-202.
23. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. Imag., vol. 13, pp. 601-609, Dec. 1994.
24. H. Erdoǧan and J. A. Fessler, "Ordered subsets algorithms for transmission tomography." Phys. Med. Biol., vol. 44, pp. 2835-2851, May 1999.
25. K. Wienhard, L. Eriksson, S. Grootoonk, M. Casey, U. Pietrzyk, and W.-D. Heiss, "Performance evaluation of the positron scanner ECAT EXACT," J. Camput. Assist. Tomogr., vol. 16, pp. 804-813, Sept./Oct. 1992.
26. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993, p. 351.
27. P. J. Huber, Robust Statistics. New York: Wiley, 1981, pp. 184-186.
28. H. Erdoǧan and J. A. Fessler, "Monotonic algorithms for transmission tomography," IEEE Trans. Med. Imag., vol. 18, pp. 801-814, Sept. 1999.
29. K. Lange, D. R. Hunter, and I. Yang, "Optimization transfer using surrogate objective functions," J. Computational Graphical Statist., vol. 9, pp. 1-20, Mar. 2000.
30. J. M. M. Anderson, R. Srinivasan, B. A. Mair, and J. R. Votaw, "Hidden Markov model based attenuation correction for positron emission tomography," IEEE Trans. Nucl. Sci., vol. 49, pp. 2103-2111, Oct. 2002.
31. R. M. Kessler, J. R. Ellis Jr., and M. Eden, "Analysis of emission tomographic scan data: Limitations imposed by resolution and background," J. Comput. Assist. Tomogr., vol. 8, pp. 514-522, 1984.