An efficient analytical calculation of probability matrix in 2D SPECT

Computerized Medical Imaging and Graphics

Volumn 32, Issue 2, 2008, Pages 83-94

  Loudos, George K ^a  

^a UNIVERSITY OF WEST ATTICA   (Greece)

Author keywords

Analytical calculation; Collimator response; Iterative reconstruction; Pixilated scintillators; SPECT; System matrix

Indexed keywords

IMAGE RECONSTRUCTION; IMAGING SYSTEMS; PARAMETER ESTIMATION; TWO DIMENSIONAL;

ANALYTICAL CALCULATION; ITERATIVE RECONSTRUCTION; PIXILATED SCINTILLATORS; PROBABILITY MATRIX; SYSTEM MATRIX;

COVARIANCE MATRIX;

ACCURACY; ANALYTIC METHOD; ARTICLE; COLLIMATOR; IMAGE QUALITY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY; SYSTEM ANALYSIS;

ALGORITHMS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; MODELS, STATISTICAL; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

EID: 37549030844     PISSN: 08956111     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compmedimag.2007.08.003     Document Type: Article

References (35)

1. Zeng G.L. Image reconstruction-a tutorial. Comput Med Imaging Graph 25 (2001) 97-103
2. Shepp L.A., and Vardi Y. Maximum likelihood reconstruction for emission tomography. IEEE Trans Med Imaging 12 (1982) 113-121
3. Lange K., Bahn M., and Little R. A theoretical study of some maximum likelihood algorithms for emission and transmission tomography. IEEE Trans Med Imaging 62 (1987) 106-114
4. Hudson H.M., and Larkin R.S. Accelerated image reconstruction using ordered subsets of projection data. IEEE Trans Med Imaging 134 (1994) 601-609
5. Kaufman L. Maximum likelihood, least squares, and penalized least squares for PET. IEEE Trans Med Imaging 12 (1993) 200-214
6. Green P. Bayesian reconstructions from emission tomography using a modified EM algorithm. IEEE Trans Med Imaging 9 (1990) 84-93
7. Huesman R.H., Klein G.J., Moses W.W., Qi J., Reutter B.W., and Virador P.R.G. List-mode maximum-likelihood reconstruction applied to positron emission mammography (PEM) with irregular sampling. IEEE Trans Med Imaging 19 (5 May 2000)
8. Kontaxakis G, Strauss LG, Maximum likelihood algorithms for image reconstruction in positron emission tomography. In: Limouris GS, Shukla SK, Bender HF, Biersack H-J, editors. Radionuclides for oncology - current status and future aspects, vol. 1, Athens, Greece: MEDITERRA Publishers; 1998. p. 73-106.
9. Kontaxakis G., Strauss L.G., and Tzanakos G.S. An efficient implementation of the iterative ML-EM image reconstruction algorithm for PET on a Pentium PC platform. J Comput Inform Technol (1999) 153-163 CTT-7
10. Tsui B.M.W., Hu H.-B., Gilland D.R., and Gullberg G.T. Implementation of simultaneous attenuation and detector response correction in SPECT. IEEE Trans Nucl Sci (1988) 778-783 NS-35
11. Liang Z., Turkington T.G., Gilland D.R., Jaszczak R.J., and Coleman R.E. Simultaneous compensation for attenuation, scatter, and detector response for SPECT reconstruction in three dimensions. Phys Med Biol 37 (1992) 587-603
12. Gilland D.R., Jaszczak R.J., Wang H., Turkington T.G., Greer K.L., and Coleman R.E. A 3D model of non-uniform attenuation and detector response for efficient iterative reconstruction in SPECT. Phys Med Biol 39 (1994) 547-561
13. Gullberg G.T., Huesman R.H., Malko J.A., Pelc N.J., and Budinger T.F. An attenuated projector-backprojector for iterative SPECT reconstruction. Phys Med Biol 30 (1985) 799-815
14. Riauka T.A., and Gortel Z.W. Photon propagation and detection in single photon emission computed tomography-An analytical approach. Med Phys 21 (1994) 1311-1321
15. Scheins JJ, Herzog H, Boschen F, Analytical volume calculation of voxel fragments for iterative, fully 3D PET reconstruction, 2004 IEEE NSS-MIC Conference, Rome, Conference Record, October 2004.
16. Floyd Jr. C.E., Jaszczak R.J., Greer K.L., and Coleman R.E. Inverse Monte Carlo as a unified reconstruction algorithm for ECT. J Nucl Med 27 10 (1986) 1577-1585
17. Jinyi Q., and Leahy R.M. Resolution and noise properties of MAP reconstruction for fully 3-D PET. IEEE Trans Med Imaging 19 5. (2000)
18. Rafecas M., Böning G., Pichler B.J., Lorenz E., Schwaiger M., and Ziegler S.I. Effect of noise in the probability matrix used for statistical reconstruction of PET data. IEEE Trans Nucl Sci 51 (2004) 149-156
19. Veklerov E., Llacer J., and Hoffman E.J. MLE reconstruction of a brain phantom using a Monte Carlo probability matrix and a statistical stopping rule. IEEE Trans Nucl Sci 35 Feb. 1 (1988) 603-607
20. Lazaro D., Breton V., and Buvat I. Feasibility and value of Fully 3D Monte Carlo reconstruction in Single Photon Emission Computed Tomography. Nucl Instrum Methods Phys Res A 527 (2004) 195-200
21. Rafecas M., Mosler B., Dietz M., Pogl M., Stamatakis A., McElroy D.P., et al. Use of a Monte-Carlo based probability matrix for 3D iterative reconstruction of MADPET-II data. IEEE Trans Nucl Sci 51 5 (2004) 2597-2605
22. Qiy J., Leahyyx R.M., Cherryz S.R., Chatziioannouz A., and Farquharz T.H. High-resolution 3D Bayesian image reconstruction using the microPET small-animal scanner. Phys Med Biol 43 (1998) 1001-1013
23. Ortuno JE, Kontaxakis G, Guerra P, Santos A, 3D-OSEM transition matrix for high resolution PET Imaging with modeling of the gamma-event detection, 2005 IEEE NSS-MIC Conference, Puerto Rico, Conference Record, October 2005.
24. Gilland D.R., Jaszczak R.J., Riauka T.A., and Edward Coleman R. Approximate 3D iterative reconstruction for SPECT. Med Phys 24 9 (1997) 1421-1429
25. Jinyi Q., and Huesman R.H. Fast approach to evaluate MAP reconstruction for lesion detection and localization. Proc SPIE 5372 (2004) 273-282
26. Khurd P, Gindi G, Rapid computation of LROC figures of merit using numerical observers (for SPECT/PET reconstruction)", IEEE NSS-MIC Conference 2003, Portland, Conference Record (2003).
27. Motta A, Damiani C, Del Guerra A, Di Domenico G, Zavattini G, Use of a fast EM algorithm for 3D image reconstruction with the YAP-PET tomography, computerized medical imaging and graphics, vol. 26(10); 5 Number 2002, p. 293-302.
28. Fakhri G.El., Buvat I., Benali H., Todd-Pokropek A., and Paola R.Di. Relative impact of scatter, collimator response, attenuation, and finite spatial resolution corrections in cardiac SPECT. J Nucl Med 41 8 (2000) 1400-1408
29. Hsieh Y.L., Zeng G.L., and Gullberg G.T. Projection space image reconstruction using strip functions to calculate pixels more "natural" for modeling the geometric response of the SPECT collimator. IEEE Trans Med Imaging 17 1 (1998) 24-44
30. Pani R., Pellegrini R., Cinti M.N., Mattioli M., Trotta C., Montani L., et al. Recent advances and future perspectives of position sensitive PMT. Nucl Instrum Methods Phys Res B: Beam Interact Mater Atom 213 (2004) 197-205
31. Loudos G.K., Nikita K.S., Uzunoglu N.K., Giokaris N.D., Papanicolas C.N., Archimandritis S.C., et al. Improving spatial resolution in SPECT with the combination of PSPMT based detector and iterative reconstruction algorithms. Compu Med Imaging Graphics 27 4 (2003) 307-313
32. Loudos G.K., Nikita K.S., Giokaris N.D., Styliaris E., Archimandritis S.C., Varvarigou A.D., et al. A 3D high-resolution gamma camera for radiopharmaceutical studies with small animals. Appl Radiat Isotopes 58 4 (2003) 501-508
33. Lazaro D., Buvat I., Loudos G., Strul D., Santin G., Giokaris N., et al. Validation of the GATE Monte Carlo simulation platform for modelling a CsI(Tl) scintillation camera dedicated to small-animal imaging. Phys Med Biol 49 (2004) 271-285
34. Jan S., et al. GATE: a simulation toolkit for PET and SPECT. Phys Med Biol 49 (2004) 4543-4561
35. Mumcuogluy E.U., Leahy R.M., and Cherry S.R. Bayesian reconstruction of PET images: methodology and performance analysis. Phys Med Biol 41 (1996) 1777-1807