Three-dimensional maximum-likelihood reconstruction for an electronically collimated single-photon-emission imaging system

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 7, Issue 7, 1990, Pages 1305-1313

  Hebert, Tom ^a   Leahy, Richard ^b   Singh, Manbir ^b  

^a UNIVERSITY OF HOUSTON   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; IMAGE PROCESSING; MATHEMATICS; METHODOLOGY; SINGLE PHOTON EMISSION COMPUTER TOMOGRAPHY;

IMAGE PROCESSING, COMPUTER-ASSISTED; MATHEMATICS; SUPPORT, U.S. GOV'T, NON-P.H.S.; SUPPORT, U.S. GOV'T, P.H.S.; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

EID: 0025456394     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.7.001305     Document Type: Article

References (17)

1. H. Sorenson, Parameter Estimation: Principles and Problems (Dekker, New York, 1980).
2. G. T. Herman, Image Reconstruction from Projections (Academic, New York, 1980).
3. M. Singh, “An electronically collimated gamma camera for single photon emission computed tomography. Parts 1 and 2,” Med. Phys. 10,421-427 (1983).
4. M. Singh and D. Doria, “Germanium-scintillation coincidence detection studies for imaging single photon emitters,” IEEE Trans. Nucl. Sci. NS-31,594-598 (1984).
5. M. Singh and D. Doria, “Single photon imaging with electronic collimation,” IEEE Trans. Nucl. Sci. NS-32,843-848 (1985).
6. T. Hebert, R. Leahy, and M. Singh, “Fast MLE for SPECT using an intermediate polar source representation and a stopping criterion,” IEEE Trans. Nucl. Sci. 35,615-619 (1988).
7. T. Hebert, R. Leahy, and M. Singh, “ML reconstruction for a prototype electronically collimated single photon emission system,” in Medical Imaging, R. T. Schneider and S. J. Dwyer, eds., Proc. Soc. Photo-Opt. Instrum. Eng. 767,77-83 (1987).
8. R. Brechner, M. Singh, and R. Leahy, “Computer simulated studies of reconstruction with an electronically collimated camera for SPECT,” IEEE Trans. Nucl. Sci. NS-34,369-373 (1987).
9. R. Brechner and M. Singh, “Reconstruction of electronically collimated images obtained from single photon emitters using a spherical system of coordinates,” IEEE Trans. Nucl. Sci. NS- 33,583-586 (1986).
10. L. T. Chang, “Attenuation correction and incomplete projection in single photon emission computed tomography,” IEEE Trans. Nucl. Sci. NS-26,638-642 (1979).
11. R. C. Gonzales and P. Wintz, Digital Image Processing (Addi- son-Wesley, Reading, Mass., 1977).
12. Y. Censor, “Finite series expansion reconstruction methods,” Proc. IEEE 71,409-419 (1983).
13. M. Singh, R. Brechner, R. Leahy, and T. Hebert, “Noise propagation in electronically collimated single photon imaging,” IEEE Trans. Nucl. Sci. 35,772-777 (1988).
14. L. Feldkamp, L. Davis, and J. Kress, “Practical cone-beam algorithm,” J. Opt. Soc. Am. A 1,612-619 (1984).
15. A. Dempster, N. Laird, and D. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. R. Statist. Soc. Ser. B 39,1-38 (1977).
16. L. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imag. 1,113-122 (1982).
17. Y. Vardi, L. Shepp, and L. Kaufmann, “A statistical model for positron emission tomography,” J. Am. Stat. Assoc. 80, 8-37 (1985).