Analytical geometric model for photon coincidence detection in 3D PET

IEEE Nuclear Science Symposium Conference Record

Volumn 4, Issue , 2006, Pages 2229-2232

  De La Prieta, R ^a   Hernandez J A ^a   Schiavi, E ^a   Malpica, N ^a  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; POSITRON EMISSION TOMOGRAPHY;

FACTOR MATRIX; GEOMETRIC TRANSITION MATRIX;

PHOTONS;

EID: 38649125262     PISSN: 10957863     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NSSMIC.2006.354357     Document Type: Conference Paper

References (18)

1. J. Qi and R. H. Huesman, "Effect, of errors in the system matrix on maximum a posteriori image reconstruction," Phys. Med. Biol., no. 50, pp. 3297-3312, 2005.
2. GATE: Geant4 application for tomographic emission. Échole Polytechnique Fédérale de Laussanne. [Online]. Available: http://wwwlphe.epfl.ch/ PET/research/gate
3. SimSET: Simulation system for emission tomography. University of Washington. Division of Nuclear Medicine. [Online]. Available: http://depts.washington.edu/simset/html/simset_main.html
4. L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Tr. Med. Im., no. 2, p. 113, Oct. 1982.
5. E. Mumcuoglu, R. Leahy, S. Cherry, and E. Hoffman, "Accurate geometric and physical response modeling for statistical image reconstruction in high resolution PET," in Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (Anaheim, CA, 1996), N. I. A Del Guerra (Piscataway, Ed., 1996, pp. 1594-1598.
6. E. Mumcuoglu, R. Leahy, and S. Cherry, "Bayesian reconstruction of PET images: methodology and performance analysis," Phys. Med. Biol., vol. 41, pp. 1603-1607, 1996.
7. R. L. Siddon, "Fast calculation of the exact radiological path for a three-dimensional CT array," Medical Physics, vol. 12, pp. 252-255, 1985.
8. J. M. Ollinger and A. S. Goggin, "Maximum likelihood reconstruction in fully 3D PET via the SAGE algorithm," in Proc. IEEE Nuclear Science Symp. and Medical Imaging Conf. (Anaheim, CA, 1996), N. I. ed. A. Del Guerra (Piscataway, Ed., 1996, pp. 1594-1598.
9. R. Lecomte, D. Schmitt, and G. Lamoureux, "Geometry study of a high resolution PET detection system using small detectors," IEEE Trans. Nucl. Sci., vol. 31, no. 1, pp. 556-561, 1984.
10. D. Schmitt, B. Karuta, C. Carrier., and R. Lecomte, "Fast point spread function computation from aperture functions in high resolution PET," IEEE Trans. Med. Imag., vol. 7, no. 1, pp. 2-12, 1988.
11. B. Karuta and R. Lecomte, "Effect of detector weighting functions on the point spread function of high resolution PET tomographs: a simulation study," IEEE Trans. Med. Imag., vol. 11, no. 3, pp. 379-385, 1992.
12. V. V. Selivanov, Y. Picard, J. Cadorette, S. Rodrigue, and R. Lecomte, "Detector response models for statistical iterative image reconstruction in high resolution PET," IEEE Trans. Nucl. Sci., vol. 47, no. 3, pp. 1168-1175, 2000.
13. D. Strul, R. B. Slates, M. Dahlbom, S. Cherry, and P. Marsden, "An improved analytical detector response function model for multilayer small-diameter PET scanners," Phys. Med. Biol., vol. 48, pp. 979-994, 2003.
14. A. Terstegge, S. Weber, H. Herzog, H. W. Muller-Gartner, and H. Hailing, "High resolution and better quantification by tube of response modeling in 3D PET reconstruction," in Proc. IEEE Nuclear Science Symp and Medical Imaging Conf., A. del Guerra, Ed., 1996, pp. 1603-1607.
15. 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., no. 43, pp. 1001-1013, 1998.
16. C. A. Johnson, Y. Yan, R. E. Carson, R. L. Martino, and M. E. DaubeWitherspoon, "A system for the 3D reconstruction of retracted-septa PET data using the EM algorithm," IEEE Trans. Nucl. Sci., vol. 42, pp. 1223-1227, June 1995.
17. C. A. Johnson, J. Seidel, R. Carson, W. Gandler, A. Sofer, M. Green, and M. Daube-Witherspoon, "Evaluation of 3D reconstruction algorithms for a small animal PET camera," IEEE Trans. Nucl. Sci., vol. 44, pp. 1303-1308, 1997.
18. C. M. Chen, S.-Y. Lee, and Z. H. Cho, "Parallelization of the EM algorithm for 3D PET image reconstruction," IEEE Trans. Med. Imaging, vol. 10, no. 4, p. 513, dec 1991.