Bayesian reconstruction of PET images: Methodology and performance analysis

Physics in Medicine and Biology

Volumn 41, Issue 9, 1996, Pages 1777-1807

  Mumcuoǧlu, Erkan Ü ^a,b   Leahy, Richard M ^a   Cherry, Simon R ^b  

^a University of Southern California ^*  (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALIBRATION; IMAGE RECONSTRUCTION; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL;

ALGORITHMS; BAYES THEOREM; HUMANS; MODELS, STATISTICAL; PHANTOMS, IMAGING; POISSON DISTRIBUTION; REPRODUCIBILITY OF RESULTS; SCATTERING, RADIATION; THORAX; TOMOGRAPHY, EMISSION-COMPUTED;

EID: 0029805550     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/41/9/015     Document Type: Article

References (38)

1. Barney J S, Rogers J G, Harrop R and Hoverath H 1990 An object shape dependent scatter correction for PET Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (Arlington, VA) vol 2 (New York: IEEE) pp 1280-7
2. Bergstrom M, Eriksson L, Bohm C, Blomqvist G and Litton J 1983 Correcting for scattered radiation in a ring detector postron camera by integral transformation of the projections J. Comput. Assist. Tomography 7 42-50
3. Bierlaire M, Toint Ph L and Tuyttens D 1991 On iterative algorithms for linear least squares problems with bound constraints Linear Algebra Appl. 143 111-43
4. Bouman C and Sauer K 1993 A generalized Gaussian image model for edge-preserving MAP estimation IEEE Trans. Image Processing 2 296-310
5. Carson R E, Yan Y, Chodkowski B A, Yap T K and Daube-Witherspoon M E 1994 Precision and accuracy of regional radioactivity quantitation using the maxmum likelihood EM reconstruction algorithm IEEE Trans. Med. Imaging 13 526-37
6. Casey M E and Hoffman E J 1986 Quantitation in positron emission computed tomography: 7, a technique to reduce noise in accidental coincidence measurements and coincidence efficiency calibration J. Comput. Assist. Tomography 10 845-50
7. Chan B, Bergstrom M, Palmer M R, Sayre C and Pate D B 1986 Scatter distribution in transmission measurements with PET J. Comput. Assist. Tomography 10 296-301
8. Cherry S and Huang S C 1995 Effect of scatter on model parameter estimates in 3D PET studies of the human brain IEEE Trans. Nucl. Sci. 42 1174-9
9. Chinn G and Huang S C 1993 Noise and resolution of Bayesian reconstruction for multiple image configurations IEEE Trans. Nucl. Sci. 40 2059-63
10. Dahlbom M and Hoffman E J 1987 Problems in signal-to-noise ratio for attenuation correction in high resolution PET IEEE Trans. Nucl. Sci. 34 288-93
11. Fessler J A 1994 Penalized weighted least-squares image reconstruction for PET IEEE Trans. Med. Imaging 13 290-300
12. Geman S and McClure D 1987 Statistic methods for tomographic image reconstruction Bull. Int. Statist. Inst. 52 5-21
13. Gindi G, Rangarajan A, Lee M and Zubal I G 1993 Bayesian reconstruction for emission tomography via deterministic annealing Information Processing in Medical Imaging ed H Barrett and A Gmitro (Berlin: Springer) pp 322-38
14. Green P J 1990 Bayesian reconstructions from emission tomography data using a modified EM algorithm IEEE Trans. Med. Imaging 9 84-93
15. Grootoonk S and Spinks T J 1991 Correction for scatter using a dual energy window technique with a tomograph operated without septa Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (Santa Fe, 1991) vol 3 (New York: IEEE) pp 1569-73
16. Hebert T and Leahy R 1989 A generalized EM algorithm for 3D Bayesian reconstruction from Poisson data using Gibbs priors IEEE Trans. Med. Imaging 8 194-202
17. Herman G T and Odhner D 1991 Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography IEEE Trans. Med. Imaging 10 336-46
18. Hubbell J H 1982 Photon mass attenuation and energy-absorption coefficients from 1 keV to 20 MeV Int. J. Appl. Radiat. Isotopes 33 1269-90
19. Johnson V E, Wong W H, Hu X and Chen C T 1991 Bayesian restoration of PET images using Gibbs priors Information Processing in Medical Imaging ed A Colchester and D Hawkes (New York: Wiley-Liss) pp 15-28
20. Karp J S, Muehllehner G, Mankoff D A, Ordones C E, Ollinger J M, Daube W, Haigh A T and Beerbohm D J 1990 A positron tomograph with volume imaging capability J. Nucl Med. 31 617-27
21. Kaufman L 1987 Implementing and accelerating the EM algorithm for positron emission tomography IEEE Trans. Med. Imaging 6 37-51
22. _1993 Maximum likelihood, least squares and penalized least squares for PET IEEE Trans. Med. Imaging 12 200-14
23. Leahy R and Yan X H 1991 Incorporation of anatomical MR data for improved functional imaging with PET Information Processing in Medical Imaging ed A Colchester and D Hawkes (New York: Wiley-Liss) pp 105-20
24. Lercher M J and Wienhard K 1994 Scatter correction in 3D PET IEEE Trans. Med. Imaging 13 649-57
25. Luenberger D G 1984 Linear and Nonlinear Programming 2nd edn (New York: Addison-Wesley)
26. Meikle S R, Dahlbom M and Cherry S R 1993 Attenuation correction using count-limited transmission data in PET J. Nucl. Med. 34 143-50
27. More J J and Toraldo G 1991 On the solution of large quadratic programming problems with bound constraints SIAM J. Optimization 1 93-113
28. Mumcuoǧlu E Ü, Leahy R and Cherry S 1992 A statistical approach to transmission image reconstruction from ring source calibration measurements in PET Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. 1992 vol 2 (New York: EEE) pp 910-12
29. Mumcuoǧlu E Ü, Leahy R, Cherry S R and Zhou Z 1994 Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images IEEE Trans. Med. Imaging 13 687-701
30. Ollinger J M 1994 Detector efficiency and compton scatter in fully 3D PET Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf., Norfolk, VA (New York: IEEE) pp 1280-4
31. Ollinger J M, Johns G C and Burney M T 1992 Model-based scatter correction in three dimensions Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. vol 2 (New York: EEEE) pp 1249-51
32. Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 113-22
33. Snyder D L and Miller M 1985 The use of sieves to stabilize images produced with the EM algorithm for emission tomography IEEE Trans. Nucl. Sci. 32 3864-72
34. Thompson C J 1993 The problem of scatter correction in positron volume imaging IEEE Trans. Med. Imaging 12 124-32
35. Watson C C, Newport D and Casey M E 1995 Evaluation and simulation based scatter correction for 3D PET cardiac imaging Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (San Francisco, CA: IEEE)
36. Zhou Z, Leahy R M and Mumcuoǧlu E Ü 1993 A comparative study of the effect of using anatomical priors in PET reconstruction Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (San Francisco) vol 3 (New York: EEE) pp 1749-53
37. _1994 Simultaneous hyperparameter estimation and Bayesian image reconstruction for PET Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (Norfolk, VA) (New York: IEEE) pp 1604-8
38. _1995 Maximum likelihood hyperparameter estimation for gibbs priors from incomplete data with applications to PET Information Processing in Medical Imaging (IPMI-95 Conf. Proc.) ed Y Bizais et al (Dordrecht: Kluwer) pp 39-52