Principles of Image Formation and Reconstruction in Emission Computed Tomography

방출전산화단층촬영기의 영상 형성과 재구성 원리

  • Published : 2008.01.01

Abstract

Keywords

References

  1. Cherry, S., Sorenson, J. and Phelps, M., 'Physics in Nuclear Medicine (3rd ed.),' Saunders, 2003
  2. Bushberg, J., Leidholdt, E. Jr. and Boone, J., 'The Essential Physics of Medical Imaging (2nd ed.),' Lippincott Williams & Wilkins, 2002
  3. Ollinger, J. and Fessler, J., 'Positron-Emission Tomography,' IEEE Signal Processing Magazine, Vol.14, No.1, pp. 43-55, 1997
  4. Kak, A. and Slaney, M., 'Principles of Computerized Tomographic Imaging,' PA: SIAM, 2001
  5. Gordon, R., 'A Tutorial on ART (Algebraic Reconstruction Techniques),' IEEE Trans. Nucl. Sci., Vol. 21, No. 1, pp. 78-93, 1974 https://doi.org/10.1109/TNS.1974.6499238
  6. Macovski, A., 'Medical Imaging,' Prentice-Hall, 1983
  7. Lewitt, R. and Matej, S., 'Overview of Methods for Image Reconstruction from Projections in Emission Computed Tomography,' Proc. the IEEE, Vol. 91, No. 10, pp. 1588-1611, 2003 https://doi.org/10.1109/JPROC.2003.817882
  8. Shepp, L. and Vardi, Y., 'Maximum likelihood reconstruction for emission tomography,' IEEE Trans. Med. Imag., Vol.1, No.2, pp. 113-122, 1982 https://doi.org/10.1109/TMI.1982.4307558
  9. Lange, K. and Carson, R., 'EM Reconstruction Algorithms for Emission and Transmission Tomography,' J. Comput. Assist. Tomog., Vol. 8, No. 2, pp. 306-316, 1984
  10. Geman, S. and Geman, D., 'Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images,' IEEE Trans. Pattern Analysis and Machine Intelligence, Vol.6, No.6, pp. 721-741, 1984 https://doi.org/10.1109/TPAMI.1984.4767596
  11. Lee, S., Rangarajan, A. and Gindi, G., 'Bayesian Image Reconstruction in SPECT Using Higher Order Mechanical Models as Priors,' IEEE Trans. Med. Imaging, Vol.14, No.4, pp. 669-680, 1995 https://doi.org/10.1109/42.476108
  12. Lee, S., Gindi, G., Zubal, G. and Rangarajan A., 'Using Ground-Truth Data to Design Priors in Bayesian SPECT Reconstruction,' Bizais, Y., Barillot, C., Paola, D., eds., Information Processing in Medical Imaging, Kluwer Academic Publishers, pp. 27-38, 1995
  13. Zhou, Z. and Leahy, R., 'Approximate maximum likelihood hyperparameter estimation for Gibbs priors,' IEEE Trans. Med. Imaging, Vol.6, No.6, pp. 844-861, 1997
  14. Lee, S., 'Simultaneous Reconstruction and Edge Detection of Tomographic Images Using Accelerated Deterministic Annealing,' Optical Engineering, Vol.46, No.5, pp.057006:1-10, 2007
  15. Lee, S., 'Performance Comparison of Convex-Nonquadratic Priors for Bayesian Tomographic Reconstruction,' Journal of Electronic Imaging, Vol.9, No.3, pp.242-250, 2000 https://doi.org/10.1117/1.482752
  16. Huber, P., 'Robust Statistics,' Wiley, 1981
  17. Bouman, C. and Sauer, K., 'A Generalized Gaussian Image Model for Edge Preserving MAP Estimation,' IEEE Trans. Image Process, Vol.2, No.3, pp. 296-310, 1993 https://doi.org/10.1109/83.236536
  18. Green, P., 'Bayesian Reconstructions from Emission Tomography Data Using a Modified EM Algorithm,' IEEE Trans. Med. Imaging, Vol. MI-9, No.1, pp.84-93, 1990
  19. Lange, K., 'Convergence of EM Image Reconstruction Algorithms with Gibbs Smoothing,' IEEE Trans. Med. Imaging, Vol. MI-9, No.4, pp. 439-446, 1990
  20. Li, S. 'Close-Form Solution and Parameter Selection for Convex Minimization-Based Edge-Preserving Smoothing,' IEEE Trans. Pattern Anal. Mach. Intell., Vol.20, No.9, pp.916-932, 1998 https://doi.org/10.1109/34.713359
  21. Hudson, H. and Larkin, R., 'Accelerated Image Reconstruction Using Ordered Subsets of Projection Data,' IEEE Trans. Med. Imaging, Vol.13, No.4, pp. 601-609, 1994 https://doi.org/10.1109/42.363108
  22. Lee, S., 'Spline-Regularized Ordered Subsets Expectation Maximization Algorithms for Emission Computed Tomography,' Journal of Electronic Imaging, Vol.12, No.1, pp. 17-24, 2003 https://doi.org/10.1117/1.1525791
  23. Fessler, J., 'Penalized Weighted Least-squares Image Reconstruction for Positron Emission Tomography,' IEEE Trans. Med. Imag., Vol.13, No.2, pp. 290-300, 1994 https://doi.org/10.1109/42.293921
  24. Zheng, J., Saquib, S., Sauer, K. and Bouman, C., 'Parallelizable Bayesian Tomography Algorithms with Rapid, Guaranteed Convergence,' IEEE Trans. Med. Imag., Vol.9, No.10, pp. 1745-1759, 2000 https://doi.org/10.1109/83.869186
  25. Browne, J. and De Pierro, A. 'A Row-Action Alternative to The EM Algorithm for Maximizing Likelihoods in Emission Tomography,' IEEE Trans. Med. Imaging, Vol. 15, No. 5, pp. 687-699, 1996 https://doi.org/10.1109/42.538946
  26. De Pierro, A. and Yamagishi, M., 'Fast EM-Like Methods for Maximum a Posteriori Estimates in Emission Tomography,' IEEE Trans. Med. Imaging, Vol.20, No.4, pp. 280-288, 2001 https://doi.org/10.1109/42.921477
  27. Hsiao, I., Rangarajan, A., Khurd, P. and Gindi, G., 'An Accelerated Convergent Ordered Subset Algorithm for Emission Tomography',' Phys. Med. Biol., Vol.49, No.11, pp. 2145-2156, 2004 https://doi.org/10.1088/0031-9155/49/11/002
  28. Ahn, S. and Fessler, J., 'Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms,' IEEE Trans. Med. Imaging, Vol.22, No.5, pp. 613-626, 2003 https://doi.org/10.1109/TMI.2003.812251