Resolution and noise properties of MAP reconstruction for fully 3-D PET

IEEE Transactions on Medical Imaging

Volumn 19, Issue 5, 2000, Pages 493-506

  Qi, Jinyi ^a,b   Leahy, Richard M ^a,b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FOURIER TRANSFORMS; IMAGE QUALITY; IMAGE RECONSTRUCTION; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; THREE DIMENSIONAL;

COVARIANCE; GAUSSIAN DISTRIBUTION; MAXIMUM A POSTERIOR ESTIMATION;

POSITRON EMISSION TOMOGRAPHY;

ALGORITHM; ANALYSIS OF VARIANCE; ANIMAL; ARTICLE; BRAIN; COMPARATIVE STUDY; COMPUTER ASSISTED EMISSION TOMOGRAPHY; HAPLORHINI; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; MONTE CARLO METHOD; NORMAL DISTRIBUTION; POISSON DISTRIBUTION; SCINTISCANNING; THEORETICAL MODEL;

ALGORITHMS; ANALYSIS OF VARIANCE; ANIMALS; BRAIN; HAPLORHINI; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; MONTE CARLO METHOD; NORMAL DISTRIBUTION; PHANTOMS, IMAGING; POISSON DISTRIBUTION; TOMOGRAPHY, EMISSION-COMPUTED;

EID: 0034178287     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/42.870259     Document Type: Article

References (22)

1. J. Qi, R.M. Leahy, S. R. Cherry, A. Chatziioannou, and T. H. Farquhar, High resolution 3D Bayesian image reconstruction using the microPET small animal scanner, Phys. Med. Biol., vol. 43, no. 4, pp. 1001-1013, 1998.
2. J. Qi, R.M. Leahy, C. Hsu, T. H. Farquhar, and S. R. Cherry, Fully 3D Bayesian image reconstruction for ECAT EXACT HR+, IEEE Trans. Nud. Sci., vol. 45, pp. 1096-1103, 1998.
3. J.A. Fessier and W. L. Rogers, Spatial resolution properties of penalized-likelihood image reconstruction: Spatial-invariant tomographs, IEEE Trans. Image Processing, vol. 9, pp. 1346-1358, Sept. 1996.
4. P. Bonetto, J. Qi, and R.M. Leahy, Covariance approximation for fast and accurate computation of channelized Hotelling observer statistics, IEEE Trans. Nucl. Sci., to be published.
5. H.H. Barren, D. W. Wilson, and B. M. W. Tsui, Noise properties of the EM algorithm: I. Theory, Phys. Med. Biol., vol. 39, pp. 833-846, 1994.
6. W. Wang and G. Gindhi, Noise analysis of MAP-EM algorithms for emission tomography, Phys. Med. Biol., vol. 42, pp. 2215-2232, 1997.
7. J. Fessier, Mean and variance of implicitely defined biased estimators (such as penalized maximum likelihood): Applications to tomography, IEEE Trans. Image Processing, vol. 5, pp. 493-506, Mar. 1996.
8. _, Approximate variance images for penalized-likelihood image reconstruction, in Proc. IEEE Nucl. Sci. Symp. Med. Imag. Conf., Albuquerque, NM, 1997.
9. J. Qi and R.M. Leahy, A theoretical study of the contrast recovery and variance of MAP reconsructions from PET data, IEEE Trans. Med. Imag., vol. 18, pp. 293-305, Apr. 1999.
10. _, Fast computation of the covariance of MAP reconstruction of PET images, Proc. SPIE, vol. 3661, pp. 344-355, 1999.
11. M. Yavuz and J.A. Fessier, Statistical image reconstruction methods for random-precorrected PET scans, Med. Image Anal., vol. 2, no. 4, pp. 369-378, 1998.
12. E. Mumcuoglu, R. Leahy, S. Cherry, and E. Huffman, Accurate geometric and physical response modeling for statistical image reconstruction in high resolution PET, in Proc. IEEE Nucl. Sci. Symp. Med. Imag. Conf., Anaheim, CA, 1996, pp. 1569-1573.
13. J.A. Fessier, Preconditioning methods for shift-variant image reconstruction, in Proc. IEEE Int. Conf. Image Processing, vol. 1, Santa Barbara, CA, 1997, pp. 185-188.
14. J.A. Fessier and S. D. Booth, Conjugate-gradient preconditioning methods for shift-variant image reconstruction, IEEE Trans. Image Processing, vol. 8, pp. 688-699, May 1999.
15. S.R. Cherry, Y. Shao, S. Siegel, R. W. Silverman, K. Meadors, J. Young, W. F Jones, D. Newport, C. Moyers, E. Mumcuoglu, M. Andreaco, M. Paulus, D. Binkley, R. Nutt, and M. E. Phelps, MicroPET: A high resolution PET scanner for imaging small animals, IEEE Trans. Nucl. Sci., vol. 44, pp. 1161-1166, June 1997.
16. J.A. Fessier, Penalized weighted least squares image reconstruction for PET, IEEE Trans. Med. Imag., vol. 13, pp. 290-300, 1994.
17. C. 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.
18. E. Mumcuoglu, R. Leahy, S. 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.
19. R.E. Carson, Y Yan, M. E. Daube-Witherspoon, N. Freedman, S. L. Bacharach, and P. Herscovitch, An approximation formula for the variance of PET region-of-interest values, IEEE Trans. Med. Imag., vol. 12, pp. 240-250, Feb. 1993.
20. E. Huffman, P. Cutler, W. Digby, and J. Mazziotta, 3D phantom to simulate cerebral blood flow and metabolic images for PET, IEEE Trans. Nucl. Sci., vol. 37, pp. 616-620, 1990.
21. D.W. Wilson, B. M. W. Tsui, and H. H. Barren, Noise properties of the EM algorithm: II. Monte Carlo simulations, Phys. Med. Biol., vol. 39, pp. 847-872, 1994.
22. B.R. Frieden, Probability, Statistical Optics, and Data Testing. Berlin: Springer-Verlag, 1983.