A modified OSEM algorithm for PET reconstruction using wavelet processing

Computer Methods and Programs in Biomedicine

Volumn 80, Issue 3, 2005, Pages 236-245

  Lee, Nam Yong ^a   Choi, Yong ^b  

^a Inje University   (South Korea)

^b Sungkyunkwan University School of Medicine   (South Korea)

Author keywords

Ordered subsets; PET reconstruction; Wavelet shrinkage

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; COMPUTERIZED TOMOGRAPHY; MEDICAL COMPUTING; POSITRON EMISSION TOMOGRAPHY; WAVELET TRANSFORMS;

FILTERED BACKPROJECTION (FBP) ALGORITHMS; ORDERED SUBSET EXPECTATION-MAXIMIZATION (OSEM); WAVELET SHRINKAGE;

TELEMEDICINE;

ALGORITHM; ANALYTIC METHOD; ARTICLE; COMPARATIVE STUDY; HUMAN; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; MATHEMATICAL MODEL; MONKEY; NOISE MEASUREMENT; NONHUMAN; NORMAL DISTRIBUTION; PHANTOM; POSITRON EMISSION TOMOGRAPHY; SIGNAL NOISE RATIO; SPECTRAL SENSITIVITY;

ALGORITHMS; ARTIFACTS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; LIKELIHOOD FUNCTIONS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 27744591101     PISSN: 01692607     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cmpb.2005.09.004     Document Type: Article

References (33)

1. F. Natterer, and F. Wübbeling Mathematical methods in image reconstruction 2001 SIAM Philadelphia
2. L.A. Shepp, and Y. Vardi Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 2 1982 113 122
3. H.M. Hudson, and R.S. Larkin Accelerated image reconstruction using ordered subsets of projection data IEEE Trans. Med. Imaging 13 4 1994 601 609
4. J. Browne, and A.R. De Pierro A row-action alternative to the EM algorithm for maximizing likelihoods in emission tomography IEEE Trans. Med. Imaging 15 5 1996 687 699
5. L. Kaufman Maximum likelihood, least squares, and penalized least squares for PET IEEE Trans. Med. Imaging 13 2 1993 200 214
6. J.A. Fessler Penalized weighted least-squares image reconstruction for positron emission tomography IEEE Trans. Med. Imaging 13 2 1994 290 300
7. T. Hebert, and R. Leahy A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors IEEE Trans. Med. Imaging 8 2 1989 194 202
8. K. Lange Convergence of EM image reconstruction algorithms with Gibbs smoothing IEEE Trans. Med. Imaging 9 4 1990 439 446
9. P.J. Green Bayesian reconstruction from emission tomography data using a modified EM algorithm IEEE Trans. Med. Imaging 9 1 1990 84 93
10. A.R. De Pierro A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography IEEE Trans. Med. Imaging 14 1 1995 132 137
11. A.R. De Pierro, and M.E.B. Yamagishi Fast EM-like methods for maximum a posteriori estimates in emission tomography IEEE Trans. Med. Imaging 20 4 2001 280 288
12. D.L. Donoho, and I.M. Johnstone Ideal spatial adaptation by wavelet shrinkage Ann. Stat. 81 1994 425 455
13. D.L. Donoho, and I.M. Johnstone Adapting to unknown smoothness via wavelet shrinkage J. Am. Stat. Assoc. 90 1995 1200 1224
14. A. Chambolle, R.A. DeVore, N.-Y. Lee, and B.J. Lucier Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage IEEE Trans. Image Process. 7 3 1998 319 335
15. R.A. DeVore, and B.J. Lucier Fast wavelet techniques for near-optimal image processing IEEE Military Communication Conference 1992 1129 1135
16. O. Michailovich, and D. Adam Robust estimation of ultrasound pulses using outlier-resistant de-noising IEEE Trans. Med. Imaging 22 3 2003 368 381
17. E.D. Kolaczyk A wavelet shrinkage approach to tomographic image reconstruction J. Am. Stat. Assoc. 91 1996 1079 1090
18. M. Bhatia, W.C. Karl, and A.S. Willsky Tomographic reconstruction and estimation based on multiscale natural-pixel bases IEEE Trans. Image Process. 6 1997 463 478
19. N.-Y. Lee, and B.J. Lucier Wavelet methods for inverting the Radon transform with noisy data IEEE Trans. Image Process. 10 1 2001 79 94
20. Y. Choi, J.-Y. Koo, and N.-Y. Lee Image reconstruction using the wavelet transform for positron emission tomography IEEE Trans. Med. Imaging 20 11 2001 1188 1193
21. D.W. Willson, B.M.W. Tsui, and H.H. Barrett Noise properties of the EM algorithm II: Monte Carlo simulations Phys. Med. Biol. 39 5 1994 847 871
22. H.H. Barrett, D.W. Willson, and B.M.W. Tsui Noise properties of the EM algorithm I: Theory Phys. Med. Biol. 39 5 1994 833 846
23. E.J. Soares, C.L. Byrne, and S.J. Glick Noise characterization of block-iterative reconstruction algorithms: I. Theory IEEE Trans. Med. Imaging 19 4 2000 261 270
24. M.V. Ranganath, A.P. Dhawan, and A. Mullani A multigrid expectation maximization reconstruction algorithm for positron emission tomography IEEE Trans. Med. Imaging 7 4 1988 273 278
25. A. Raheja, T.F. Doniere, and A.P. Dhawan Multiresolution expectation maximization reconstruction algorithm for positron emission tomography using wavelet processing IEEE Trans. Nucl. Sci. 46 3 1999 594 602
26. B.A. Mair, R.B. Carroll, and J.M. Anderson Filter banks and the EM algorithm IEEE Medical Imaging Conference 3 1996 1747 1751
27. F. Anscombe The transformation of Poisson, binomial and negative binomial data Biometrika 35 1948 246 254
28. I. Daubechies Ten Lectures on Wavelets 1992 SIAM Philadelphia
29. A.G. Bruce, D.L. Donoho, H.Y. Gao, and R.D. Martin Denoising and robust non-linear wavelet analysis Proceedings of SPIE Conference 1994 325 336
30. Y.Y. Kim, J.-C. Hong, and N.-Y. Lee Frequency response function estimation via a robust wavelet de-noising method J. Sound Vibr. 244 4 2001 635 649
31. T.R. DeGrado, T.G. Turkington, J.J. Williams, C.W. Stearns, J.M. Hoffman, and R.E. Coleman Performance characteristics of a whole-body PET scanner J. Nucl. Med. 35 1994 1398 1406
32. J.R. Lee, Y. Choi, Y.S. Choe, K.H. Lee, S.E. Kim, S.A. Shin, and B.-T. Kim Performance measurements of positron emission tomography: an investigation using General Electric AdvanceTM Korean J. Nucl. Med. 30 1996 548 559
33. R. Coifman, and D.L. Donoho Translation invariant de-noising A. Antoniadis G. Oppenheim Wavelet and Statistics Lecture Notes in Statistics 1995 Springer-Verlag 125 150