Local Tomography Property of Residual Minimization Reconstruction with Planar Integral Data

IEEE Transactions on Nuclear Science

Volumn 50, Issue 5 II, 2003, Pages 1590-1594

  Zeng, Gengsheng L ^a   Gagnon, Daniel ^b   Natterer, Frank ^c   Wang, Wenli ^b   Wrinkler, Marc ^b   Hawkins, William ^b  

^a UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

^b PHILIPS HEALTHCARE   (United States)

^c UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Image reconstruction; Iterative method; Local tomography; Rotating slat collimator; Single photon emission computed tomography (SPECT)

Indexed keywords

COMPUTERIZED TOMOGRAPHY; IMAGE RECONSTRUCTION; IMAGING SYSTEMS; ITERATIVE METHODS; OPTICAL COLLIMATORS; PHOTONS;

PHOTON EMISSIONS;

MEDICAL IMAGING;

EID: 0142094738     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNS.2003.817958     Document Type: Article

References (20)

1. A. K. Lange and R. Carson, "EM reconstruction algorithms for emission and transmission tomography," J. Comput. Assist. Tomogr., vol. 8, pp. 306-316, 1984.
2. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. imaging, vol. 13, pp. 601-609, 1994.
3. S. Kawata and O. Nalcioglu, "Constrained iterative reconstruction by the conjugate gradient method," IEEE Trans. Med. Imaging, vol. MI-4, pp. 65-71, 1985.
4. O. Axelsson, "Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations," Lin. Alg. Appl., vol. 29, pp. 1-16, 1980.
5. G. L. Zeng and G. T. Gullberg, "Unmatched projector/backprojector pairs in an iterative reconstruction algorithm," IEEE Trans: Med. Imaging, vol. 19, pp. 548-555, 2000.
6. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1989.
7. J. W. Wallis and T. R. Miller, "Rapidly converging iterative reconstruction algorithms in single-photon emission computed tomography," J. Nucl. Med., vol. 34, pp. 1793-1800, 1993.
8. D. S. Lalush and B. M. W. Tsui, "Improving the convergence of iterative filtered backprojection algorithms," Med. Phys.,vol. 21, pp. 1283-1286, 1994.
9. _, "A fast and stable maximum a posteriori conjugate gradient reconstruction algorithm," Med. Phys., vol. 22, pp. 1273-1284, 1994.
10. V. La and P. Orangeat, "Minimal residual cone-beam reconstruction with attenuation correction in SPECT," Phys. Med. Biol., vol. 43, pp. 715-727, 1998.
11. M. Pélégrini, I. Buvat, H. Benali, G. El Fakhri, P. Grangeat, and R. Di Paola, "A spline-regularized minimal residual algorithm for'iterative attenuation correction in SPECT," Phys. Med. Biol., vol. 44, pp. 26 235-26 427, 1999.
12. S. R. Deans, The Radon Transform and Some of its Applications. New York: Wiley, 1983.
13. G. L. Zeng and D. Gagnon, "Single photon emission local tomography," J. Nucl. Med., vol. 43, p. 145P, 2002.
14. A. G. Ramm and A. I. Katsevich, The Radon Transform and Local Tomography. Boca Raton, FL: CRC Press, 1996.
15. D. Gagnon, G. L. Zeng, J. J. Griesmer, F. C. Valentino, and J. M. Links, "Design considerations for a new solid-state gamma camera: solstice," in Conf. Rec. IEEE Nuclear Science and Medical Imaging Conf., vol. 2, San Diego, CA, 2001, pp. 1156-1160.
16. J. J. Griesmer, B. Kline, J. Grosholz, K. Parnham, and D. Gagnon, "Performance evaluation of a new CZT detector for nuclear medicine: solstice," in Conf. Rec. IEEE Nuclear Science and Medical Imaging Conf., vol. 4, San Diego, 2001, pp. 1050-1054.
17. G. L. Zeng, D. Gagnon, C. G. Matthews, J. A. Kolthammer, J. D. Radachy, and W. Hawkins, "Image reconstruction algorithm for a rotating slat collimator," Med. Phys., vol. 29, pp. 1406-1412, 2002.
18. M. A. Lodge, D. M. Binnie, M. A. Flower, and S. Webb, "The experimental evaluation of a prototype rotating slat collimator for planar gamma camera imaging," Phys. Med. Biol., vol. 40, pp. 427-448, 1995.
19. L. T. Chagn, "A method for attenuation correction in radionuclide computed tomography," IEEE Trans. Nucl. Sci., vol. 25, pp. 638-643, 1978.
20. R. B. Marr, C. Chen, and P. C. Lauterbur, "On two approaches to 3D reconstruction in NMR zeugmatography," in Mathematical Aspects of Computerized Tomography, G. T. Herman and F. Natterer, Eds. New York: Springer-Verlag, 1980.