Analysis of penalized likelihood image reconstruction for dynamic PET quantification

IEEE Transactions on Medical Imaging

Volumn 28, Issue 4, 2009, Pages 608-620

  Wang, Guobao ^a   Qi, Jinyi ^a  

^a University of California   (United States)

Author keywords

Image reconstruction; Noise analysis; Penalized maximum likelihood; Tracer kinetic modeling

Indexed keywords

BIOCHEMICAL PROCESS; DYNAMIC IMAGES; DYNAMIC PETS; IMAGE RECONSTRUCTION METHODS; KINETIC ANALYSIS; KINETIC PARAMETER ESTIMATIONS; MEAN-SQUARED ERRORS; NOISE ANALYSIS; PENALIZED MAXIMUM LIKELIHOOD; PENALIZED-LIKELIHOOD IMAGE RECONSTRUCTION; POSITRON EMISSIONS; PRACTICAL METHODS; RECONSTRUCTED IMAGES; RECONSTRUCTION PARAMETERS; REGION OF INTERESTS; REGULARIZATION PARAMETERS; SIGNIFICANT IMPACTS; THEORETICAL EXPRESSIONS; TIME-ACTIVITY CURVES; TRACER KINETIC MODELING; TRACER KINETICS;

ANIMALS; BLOCK CODES; DIAGNOSTIC RADIOGRAPHY; IGNEOUS ROCKS; IMAGE RECONSTRUCTION; KINETIC PARAMETERS; MAXIMUM LIKELIHOOD ESTIMATION; METAL ANALYSIS; PARAMETER ESTIMATION; POSITRON ANNIHILATION SPECTROSCOPY; RESTORATION;

POSITRON EMISSION TOMOGRAPHY;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; BRAIN; COMPUTER SIMULATION; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; KINETICS; METHODOLOGY; MONTE CARLO METHOD; POSITRON EMISSION TOMOGRAPHY; REPRODUCIBILITY; SCINTISCANNING; STATISTICAL MODEL; TIME;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; KINETICS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MONTE CARLO METHOD; PHANTOMS, IMAGING; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; TIME FACTORS;

EID: 63849188502     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2008.2008971     Document Type: Article

References (43)

1. B. M. Mazoyer. R. H. Huesman, T. F. Budinger. and B. L. Knittel, "Dynamic PET data-analysis," J. Comput. Assist. Tomogr., vol. 10, no. 4, pp. 645-653, 1986.
2. S. Jovkar, A. C. Evans, M. Diksic, H. Nakai, and Y. L. Yamamoto, "Minimization of parameter-estimation errors in dynamic PET - Choice of scanning schedules." Phys. Med. Biol., vol. 34, no. 7. pp. 895-908, 1989.
3. R. R. Raylman, J. M. Caraher, and G. D. Hutchins, "Sampling requirements for dynamic cardiac PET studies using image-derived input functions," J. Nucl. Med., vol. 34, no. 3, pp. 440-447, 1993.
4. D. G. Feng, X. M. Wang, and H. Yan, "A computer-simulation study on the input function sampling schedules in tracer kinetic modeling with positron emission tomography (PET)," Comput. Methods Programs Biomed., vol. 45. no. 3. pp. 175-186. 1994.
5. X. J. Li, D. G. Feng, and K. W. Chen, "Optimal image sampling schedule: A new effective way to reduce dynamic image storage space and functional image processing time," IEEE Trans. Med. Imag., vol. 15. no. 5, pp. 710-719, Oct. 1996.
6. S. G. Ross, A. Welch, G. T. Gullberg, and R. H. Huesman, "An investigation into the effect of input function shape and image acquisition interval on estimates of washin for dynamic cardiac SPECT," Phys. Med. Biol., vol. 42, no. 11, pp. 2193-2213, 1997.
7. C. H. Lau, S. Eberl, D. G. Feng, H. Iida, P. K. Lun, W. C. Siu, Y. Tamura. G. J. Bautovich, and Y. Ono, "Optimized acquisition time and image sampling for dynamic SPECT of T1-201," IEEE Trans. Med. Imag., vol. 17. no. 3, pp. 334-343, Jun. 1998.
8. X. J. Li, D. G. Feng, and K. W. Chen, "Optimal image sampling schedule for both image-derived input and output functions in PET cardiac studies," IEEE Trans. Med. Imag., vol. 19, no. 3, pp. 233-242. Mar. 2000.
9. L. F. Wen, S. Eberl. K. P. Wong. D. G. Feng, and J. Bai, "Effect of reconstruction and filtering on kinetic parameter estimation bias and reliability for dynamic SPECT: A simulation study," IEEE Trans. Nucl. Sci., vol. 52. no. 1, pp. 69-78. Jan. 2005.
10. M. M. Graham, "Physiologic smoothing of blood time-activity curves for PET data analysis," J. Nucl. Med., vol. 38, no. 7, pp. 1161-1168, 1997.
11. D. C. Yu, S. C. Huang, S. T. Grafton, W. P. Melega, J. R. Barrio. J. C. Mazziotta, and M. E. Phelps, "Methods for improving quantitation of putamen uptake constant of fDOPA in PET studies," J. Nucl. Med., vol. 34, no. 4. pp. 679-688, 1993.
12. D. J. Kadrmas, E. V. R. DiBella. R. H. Huesman, and G. T. Gullberg, "Analytical propagation of errors in dynamic SPECT: Estimators, degrading factors, bias and noise," Phys. Med. Biol., vol. 44, no. 8, pp. 1997-2014, 1999.
13. S. R. Chen, C. L. Ho, D. G. Feng, and Z. R. Chi, "Tracer kinetic modeling of C-11-acetate applied in the liver with positron emission tomography." IEEE Trans. Med. Imag., vol. 23, no. 4, pp. 426-432, Apr. 2004.
14. D. A. Mankoff, A. F. Shields, M. M. Graham, J. M. Link, J. F. Eary. and K. A. Krohn, "Kinetic analysis of 2-[carbon-11]thymidine PET imaging studies: Compartmental model and mathematical analysis." J. Nucl. Med., vol. 39, no. 6, pp. 1043-55, 1998.
15. P. C. Coxson, R. H. Huesman, and L. Borland, "Consequences of using a simplified kinetic model for dynamic PET data," J. Nucl. Med., vol. 38. no. 4, pp. 660-667, 1997.
16. B. Chen, S. C. Huang, R. A. Hawkins, and M. E. Phelps, "An evaluation of Bayesian regression for estimating cerebral oxygen utilization with 0-15 and dynamic PET," IEEE Trans. Med. Imag., vol. 7. no. 4. pp. 257-263. Dec. 1988.
17. K. Chen, S. C. Huang, and D. C. Yu, "The effects of measurement errors in the plasma radioactivity curve on parameter-estimation in positron emission tomography," Phys. Med. Biol., vol. 36, no. 9, pp. 1183-1200, 1991.
18. J. Delforge, A. Syrota, and B. M. Mazoyer, "Experimental-design optimization - Theory and application to estimation of receptor model parameters using dynamic positron emission tomography," Phys. Med. Biol., vol. 34, no. 4, pp. 419-k35, 1989.
19. J. Delforge, A. Syrota, and B. M. Mazoyer, "Identifiability analysis and parameter-identification of an in vivo ligand-receptor model from PET data," IEEE Trans. Biomed. Eng., vol. 37, no. 7, pp. 653-661, Jul. 1990.
20. R. F. Muzic, A. D. Nelson, G. M. Saidel, and F. Miraldi, "Optimal experiment design for PET quantification of receptor concentration," IEEE Trans. Med. Imag., vol. 15, no. 1. pp. 2-12, Feb. 1996.
21. A. O. Hero, J. A. Fessler, and M. Usman, "Exploring estimator biasvariance tradeoffs using the uniform CR bound." IEEE Trans. Signal Process., vol. 44, no. 8, pp. 2026-2041, Aug. 1996.
22. H. H. Barrett, D. W. Wilson, and B. M. W. Tsui, "Noise properties of the EM algorithm. I. Theory." Phys. Med. Biol., vol. 39, no. 5. pp. 833-846, 1994.
23. W. L. Wang and G. Gindi, "Noise analysis of MAP-EM algorithms for emission tomography," Phys. Med. Biol., vol. 42, no. 11, pp. 2215-2232, 1997.
24. E. J. Soares, C. L. Byrne, and S. J. Glick, "Noise characterization of block-iterative reconstruction algorithms: I. Theory." IEEE Trans. Med. Imag., vol. 19, no. 4, pp. 261-270, Apr. 2000.
25. J. A. Fessler, "Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): Applications to tomography," IEEE Trans. Image Process., vol. 5, no. 3, pp. 493-506. Mar. 1996.
26. J. A. Fessler and W. L. Rogers, "Spatial resolution properties of penalized-likelihood image reconstruction: Space-invariant tomographs," IEEE Trans. Image Process., vol. 5. no. 9, pp. 1346-1358, Sep. 1996.
27. A. Yendiki and J. A. Fessler, "Analysis of observer performance in known-location tasks for tomographic image reconstruction," IEEE Trans. Med. Imag., vol. 25. no. 1, pp. 28-41, Jan. 2006.
28. P. Khurd and G. Gindi, "Fast LROC analysis of Bayesian reconstructed emission tomographic images using model observers," Phys. Med. Biol., vol. 50, no. 7, pp. 1519-1532, 2005.
29. J. Qi and R. M. Leahy, "Resolution and noise properties of MAP reconstruction for fully 3-D PET." IEEE Trans. Med. Imag., vol. 19. no. 5, pp. 493-506. May 2000.
30. J. Qi, "A unified noise analysis for iterative image estimation," Phys. Med. Biol., vol. 48, no. 21, pp. 3505-3519. 2003.
31. J. Qi and R. H. Huesman, "Effect of errors in the system matrix on maximum a posteriori image reconstruction." Phys. Med. Biol., vol. 50, no. 14, pp. 3297-3312. 2005.
32. J. Qi and R. M. Leahy, "A theoretical study of the contrast recovery and variance of MAP reconstructions from PET data," IEEE Trans. Med. Imag., vol. 18, no. 4, pp. 293-305, Apr. 1999.
33. J. Qi and R. H. Huesman, "Penalized maximum-likelihood image reconstruction for lesion detection." Phys. Med. Biol., vol. 51, no. 16. pp. 4017-1-029, 2006.
34. J. Qi and R. H. Huesman, "Theoretical study of penalized-likelihood image reconstruction for region of interest quantification," IEEE Trans. Med. Imag., vol. 25, no. 5, pp. 640-648, May 2006.
35. S. Ahn, J. A. Fessler, T. E. Nichols, and R. A. Koeppe. "Covariance of kinetic parameter estimators based on time activity curve reconstructions: Preliminary study on ID dynamic imaging," in IEEE Int. Symp. Biomed. Imag.: Macro Nano, 2004. vol. 1, pp. 368-371.
36. P. C. Hansen, "Analysis of discrete ill-posed problems by means of the 1-curve," SIAM Rev., vol. 34, no. 4, pp. 561-580, 1992.
37. V. E. Johnson, W. H. Wong, X. P. Hu, and C. T. Chen, "Image- restoration using Gibbs priors - Boundary modeling, treatment of blurring, and selection of hyperparameter," IEEE Trans. Pattern Anal Mach. Intell., vol. 13. no. 5. pp. 413-425, May 1991.
38. S. S. Saquib, C. A. Bouman, and K. Sauer, "ML parameter estimation for Markov random fields with applications to Bayesian tomography," IEEE Trans. Image Process., vol. 7, no. 7, pp. 1029-1044, Jul. 1998.
39. Z. Y. Zhou, R. M. Leahy, and J. Qi. "Approximate maximum likelihood hyperparameter estimation for Gibbs priors," IEEE Trans. Image Process., vol. 6. no. 6. pp. 844-861. Jun. 1997.
40. A. M. Urmanov, A. V. Gribok, H. Bozdogan, J. W. Hines, and R. E. Uhrig, "Information complexity-based regularization parameter selection for solution of ill conditioned inverse problems," Inverse Problems, vol. 18, no. 2, pp. L1-L9, 2002.
41. D. G. Feng, K. P. Wong, C. M. Wu, and W. C. Siu, "A technique for extracting physiological parameters and the required input function simultaneously from PET image measurements: Theory and simulation study." IEEE Trans. Inf. Technol. Biomed., vol. 1, no. 4, pp. 243-254. Dec. 1997.
42. F. O'Sullivan and A. Saha, "Use of ridge regression for improved estimation of kinetic constants from PET data." IEEE Trans. Med. Imag., vol. 18. no. 2, pp. 115-125, Feb. 1999.
43. R. F. Muzic and B. T. Christian. "Evaluation of objective functions for estimation of kinetic parameters," Med. Phys., vol. 33, no. 2, pp. 342-353, 2006.