Acceleration of the direct reconstruction of linear parametric images using nested algorithms

Physics in Medicine and Biology

Volumn 55, Issue 5, 2010, Pages 1505-1517

  Wang, Guobao ^a   Qi, Jinyi ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL RESEARCH; CLINICAL DIAGNOSIS; COMPUTATION COSTS; CONVERGENCE RATES; CONVERGENCE SPEED; DIRECT ALGORITHMS; DIRECT METHOD; DYNAMIC PET; EXPECTATION MAXIMIZATION; INDIRECT METHODS; KINETIC MODELING; PARAMETRIC ESTIMATION; PARAMETRIC IMAGE; PARAMETRIC IMAGING; PARAMETRIC MODELING; PET DATA; PRECONDITIONED CONJUGATE GRADIENT ALGORITHMS;

ALGORITHMS; COMPUTER SIMULATION; DIAGNOSIS; IMAGE RECONSTRUCTION; KINETIC THEORY; POSITRON EMISSION TOMOGRAPHY;

PARAMETER ESTIMATION;

ALGORITHM; ARTICLE; IMAGE PROCESSING; METHODOLOGY; POSITRON EMISSION TOMOGRAPHY; STATISTICAL MODEL; TIME;

ALGORITHMS; IMAGE PROCESSING, COMPUTER-ASSISTED; LIKELIHOOD FUNCTIONS; POSITRON-EMISSION TOMOGRAPHY; TIME FACTORS;

EID: 77951932769     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/55/5/016     Document Type: Article

References (30)

1. Carson R E and Lange K 1985 The EM parametric image reconstruction algorithm J. Am. Stat. Assoc. 80 20-2
2. Choi Y, Hawkins R A, Huang S C, Gambhir S S, Brunken R C, Phelps M E and Schelbert H R 1991 Parametric images of myocardial metabolic-rate of glucose generated from dynamic cardiac PET and 2-[F-18]fluoro-2-deoxy-d-glucose studies J. Nucl. Med. 32 733-8
3. Choi Y, Huang S C, Hawkins R A, Kuhle W G, Dahlbom M, Hoh C K, Czernin J, Phelps M E and Schelbert H R 1993 A simplified method for quantification of myocardial blood-flow using nitrogen-13-ammonia and dynamic PET J. Nucl. Med. 34 488-97 (Pubitemid 23075395)
4. Cunningham V J and Jones T 1993 Spectral-analysis of dynamic PET studies J. Cerebral Blood Flow Metabolism 13 15-23
5. Feng D G, Wong K P, Wu C M and Siu W C 1997 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. 1 243-54
6. Gill S S, Patel N K, Hotton G R, O'Sullivan K, McCarter R, Bunnage M, Brooks D J, Svendsen C N and Heywood P 2003 Direct brain infusion of glial cell line-derived neurotrophic factor in Parkinson disease Nat. Med. 9 589-95 (Pubitemid 36597106)
7. Kamasak M E, Bouman C A, Morris E D and Sauer K 2005 Direct reconstruction of kinetic parameter images from dynamic PET data IEEE Trans. Med. Imaging 24 636-50 (Pubitemid 40680125)
8. Kaufman L 1987 Implementing and accelerating the EM algorithm for positron emission tomography IEEE Trans. Med. Imaging 6 37-51 (Pubitemid 17549071)
9. Kordower J H et al 2000 Neurodegeneration prevented by lentiviral vector delivery of GDNF in primate models of Parkinson's disease Science 290 767-73
10. Lange K, Hunter D R and Yang I 2000 Optimization transfer using surrogate objective functions J. Comput. Graph. Stat. 9 1-20
11. Li Q Z, Asma E, Ahn S and Leahy R M 2007 A fast fully 4-D incremental gradient reconstruction algorithm for list mode PET data IEEE Trans. Med. Imaging 26 58-67 (Pubitemid 46096350)
12. Luenberger D G 1984 Linear and Nonlinear Programming 2nd edn (Reading, MA: Addison-Wesley)
13. Matthews J, Bailey D, Price P and Cunningham V 1997 The direct calculation of parametric images from dynamic PET data using maximum-likelihood iterative reconstruction Phys. Med. Biol. 42 1155-73 (Pubitemid 27232482)
14. Meikle S R, Matthews J C, Cunningham V J, Bailey D L, Livieratos L, Jones T and Price P 1998 Parametric image reconstruction using spectral analysis of PET projection data Phys. Med. Biol. 43 651-66 (Pubitemid 28126146)
15. Mumcuoglu E U, Leahy R, Cherry S R and Zhou Z Y 1994 Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images IEEE Trans. Med. Imaging 13 687-701
16. Nichols T E, Qi J, Asma E and Leahy R M 2002 Spatiotemporal reconstruction of list-mode PET data IEEE Trans. Med. Imaging 21 396-404 (Pubitemid 34720691)
17. Patlak C S and Blasberg R G 1985 Graphical evaluation of blood-to-brain transfer constants from multiple-time uptake data: generalizations J. Cereb. Blood Flow Metab. 5 584-90 (Pubitemid 16218234)
18. Rahmim A, Tang J and Zaidi H 2009 Four-dimensional (4D) image reconstruction strategies in dynamic PET: beyond conventional independent frame reconstruction Med. Phys. 36 3654-70
19. Reader A J, Matthews J C and Sureau F C et al 2006 Iterative kinetic parameter estimation within fully 4D PET image reconstruction IEEE Nuclear Science Symp. Conf. Record 2006 vol 3 pp 1752-6
20. Reader A J, Matthews J C, Sureau F C, Comtat C, Trebossen R and Buvat I 2007 Fully 4D image reconstruction by estimation of an input function and spectral coefficients 2006 IEEE Nucl. Sci. Symp. Med. Imaging Conf. 5 3260-7
21. Reader A J, Sureau F C, Comtat C, Trebossen R and Buvat I 2006 Joint estimation of dynamic PET images and temporal basis functions using fully 4D ML-EM Phys. Med. Biol. 51 5455-74 (Pubitemid 44773325)
22. Reutter B W, Gullberg G T and Huesman R H 1998 Kinetic parameter estimation from attenuated SPECT projection measurements IEEE Trans. Nucl. Sci. 45 3007-13 (Pubitemid 128741093)
23. Reutter B W, Gullberg G T and Huesman R H 2000 Direct least-squares estimation of spatiotemporal distributions from dynamic SPECT projections using a spatial segmentation and temporal B-splines IEEE Trans. Med. Imaging 19 434-50
24. Reutter B W, Gullberg G T and Huesman R H 2002 Effects of temporal modelling on the statistical uncertainty of spatiotemporal distributions estimated directly from dynamic SPECT projections Phys. Med. Biol. 47 2673-83
25. Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 113-22 (Pubitemid 13557763)
26. Tsoumpas C, Turkheimer F and Thielemans K 2007 Convergence properties of algorithms for direct parametric estimation of linear models in dynamic PET IEEE Nuclear Science Symp. Conf. Record 2007 vol 4 pp 3034-7
27. Tsoumpas C, Turkheimer F E and Thielemans K 2008 Study of direct and indirect parametric estimation methods of linear models in dynamic positron emission tomography Med. Phys. 35 1299-309 (Pubitemid 351457497)
28. Vanzi E, Formiconi A R, Bindi D, Cava G L and Pupi A 2004 Kinetic parameter estimation from renal measurements with a three-headed SPECT system: a simulation study IEEE Trans. Med. Imaging 23 363-73
29. Wang G, Fu L and Qi J 2008 Maximum a posteriori reconstruction of the Patlak parametric image from sinograms in dynamic PET Phys. Med. Biol. 53 593-604 (Pubitemid 351496207)
30. Wang G and Qi J 2009 Generalized algorithms for direct reconstruction of parametric images from dynamic PET data IEEE Trans. Med. Imaging 28 1717-26