Multiresolution expectation maximization reconstruction algorithm for positron emission tomography using wavelet processing

IEEE Transactions on Nuclear Science

Volumn 46, Issue 3 PART 2, 1999, Pages 594-602

  Raheja, Amar ^a,b   Doniere, Timothy F ^a   Dhawan, Atam P ^a  

^a Toledo   (United States)

^b 705 Engineering Research Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIRESOLUTION DETECTOR SPACE; MULTIRESOLUTION EXPECTATION MAXIMIZATION ALGORITHM; WAVELET SPLINE INTERPOLATION METHOD;

ALGORITHMS; CAMERAS; COMPUTER SIMULATION; IMAGE RECONSTRUCTION; INTERPOLATION; ITERATIVE METHODS; MEDICAL IMAGING; NUCLEAR MEDICINE; RADIATION DETECTORS; WAVELET TRANSFORMS;

POSITRON EMISSION TOMOGRAPHY;

EID: 0033329492     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/23.775585     Document Type: Article

References (24)

1. L.A. Shepp and Y. Vardi, "Maximum Likelihood reconstruction for emission tomography", IEEE Transactions on Medical Imaging, Vol. MI-1, No. 2, pp. 113-122, October 1982.
2. M. V. Ranganath, Atam P. Dhawan, and N. Mullani, "A multigrid expectation maximization reconstruction algorithm for positron emission tomography," IEEE Transactions on Medical Imaging, Vol. 7, No. 4, pp. 273-278, December 1988.
3. Jeffery A, Fessier, " Penalized Weighted Least-Squares Image Reconstruction for PET", IEEE Transactions on Medical Imaging, Vol. 13, No. 2, pp. 290-300, June 1994.
4. A. R. De Pierro, " A Modified EM algorithm for Penalized Likelihood Estimation in Emission Tomography", IEEE Transactions on Medical Imaging, Vol. 14, No. 1, pp. 132-137, March 1995.
5. Linda Kaufman, "Maximum Likelihood, Least-Squares and Penalized Least-Squares for PET", IEEE Transactions on Medical Imaging, Vol. 12, No. 2, pp. 200-214, June 1993.
6. Ingrid Daubechies, Ten Lectures on Wavelets, Society for Applied Mathematics, Philadelphia, PA, 1992.
7. S. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, pp. 674-693, July 1989.
8. Stephane Mallat, "Wavelets for a Vision," Proceedings of the IEEE, Volume 84, Number 4, pp. 604-614, April 1996.
9. A. Cohen and J. Kovacevic, "Wavelets: The Mathematical Background," Proceedings of the IEEE, Vol. 84, No. 4, pp.514-522, April 1996.
10. A. Bovik, M.Clark, and W. Geisler, "Multichannel Texture Analysis Using Localized Spatial Filters," IEEE Transactions on Pattern Analysis and Machine Intelligence, Volume 12, pp. 55-73, 1990.
11. J.B. Weaver, X. Yansun, D.M. Healy Jr. and L.D. Cromwell, "Filtering Noise from Images with Wavelet Transforms", Magnetic Resonance in Medicine, Vol. 21, No. 2, pp. 288-295, 1991.
12. R.A. DeVore and B.J. Lucier, "Fast Wavelet Techniques for Near-optimal Image Processing", Proceedings of the IEEE Military Communications Conference, New York, pp. 48.3.1-48.3.7, 1992.
13. J. B. Weaver, X. Yansun, D. M. Healy, and J. R. Driscoll, "Wavelet-encoded MR Imaging," Magnetic Resonance in Medicine, Volume 24, Number 2, pp. 275287, 1992.
14. D. M. Healy, Jr. and J. B. Weaver, "Two Applications of Wavelet Transforms in Magnetic Resonance", IEEE Transactions on Information Theory, Vol. 38, pp. 840860, 1992.
15. William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling, Numerical Recipes in C: The An of Scientific Computing, Cambridge University Press, New York, 1988.
16. Sanjit K. Mitra and James F. Kasier, editors, Handbook of Digital Signal Processing, John Wiley and Sons, Inc., 1993.
17. Alex P. Pentland, "Interpolation Using Wavelet Bases," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 16, No. 4, pp. 410-414, April 1994.
18. Ming-Haw Yaou and Wen-Thong Chang, "Fast Surface Interpolation Using Multiresolution Wavelet Transform," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 16, No. 7, pp. 673-688, July 1994.
19. A. Aldroubi, M. Unser, and M. Eden, "Discrete Spline Filters for Multiresolutions and Wavelet of 12," BEIP/National Center for Research Resources, Rep. No. 21/91, 1991.
20. C. K. Chui, "On Compactly Supported Spline Wavelets and a Duality Principle," Transactions of the American Mathematical Society, Vol. 330, No. 2, pp. 903-915, 1992.
21. A. Cohen, Ingrid Daubechies, and J. C. Feauveau, "Biorthogonal Bases of Compactly Supported Wavelets," Communications on Pure and Applied Mathematics, Vol. 45, No. 5, pp. 485-560, June 1992.
22. W. T. Chang, H. C. Hsieh, and W. -Hsing Lai, "Second Order Smoothness Measure in Curve Fitting," Proceedings of the Telecommunications Symposium, Hsinchu, ROC, pp. 550-555, 1990.
23. P. Lancaster and K. Salkauskas, Curve and Surface Fitting. New York: Academic Press, 1986.
24. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data", IEEE Transactions on Medical Imaging, Vol. 13, No. 4, pp. 601-609, 1994.