Fuzzy-rule-based image reconstruction for positron emission tomography

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

Volumn 22, Issue 9, 2005, Pages 1763-1771

  Mondal, Partha P ^a   Rajan, K ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EDGE DETECTION; ESTIMATION; FEATURE EXTRACTION; FUZZY SETS; ITERATIVE METHODS; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; POSITRON EMISSION TOMOGRAPHY;

FUZZY-RULE-BASED IMAGE RECONSTRUCTION; MAXIMUM A POSTERIORI (MAP) ESTIMATION; MEDIAN-ROOT-PRIOR (MRP)-BASED ALGORITHM; SINGLE-PHOTON EMISSION COMPUTED TOMOGRAPHY;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; BRAIN; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; FUZZY LOGIC; HUMAN; IMAGE ENHANCEMENT; IMAGE QUALITY; METHODOLOGY; POSITRON EMISSION TOMOGRAPHY; REPRODUCIBILITY; SCINTISCANNING; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BRAIN; FUZZY LOGIC; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; PHANTOMS, IMAGING; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 25444490154     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.22.001763     Document Type: Article

References (29)

1. Y. Vardi, L. A. Shepp, and L. Kaufmann, "A statistical model for position emission tomography," J. Am. Stat. Assoc. 80, 8-37 (1985).
2. L. A. Shepp and Y. Vardi, "Maximum likelihood estimation for emission tomography," IEEE Trans. Med. Imaging 1, 113-121 (1982).
3. C. M. Chen and S. Y. Lee, "Parallelization of the EM algorithm for 3-D PET image reconstruction," IEEE Trans. Med. Imaging 10, 513-522 (1991).
4. K. Rajan, L. M. Patnaik, and J. Ramakrishna, "High speed computation of the EM algorithm for PET image reconstruction," IEEE Trans. Nucl. Sci. 41, 1-5 (1994).
5. 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, 194-202 (1989).
6. E. Levitan and G. T. Herman, "A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography," IEEE Trans. Med. Imaging 6, 185-192 (1987).
7. P. J. Green, "Bayesian reconstruction from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imaging 9, 84-93 (1990).
8. Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997).
9. T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992).
10. J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum-a-posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002).
11. S. Alenius and U. Ruotsalainen, "Using local median as the location of prior distribution in iterative emission tomography reconstruction," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998).
12. S. Alenius and U. Ruotsalainen, "Generalization of median root prior reconstruction," IEEE Trans. Med. Imaging 21, 1413-1420 (2002).
13. L. A. Shepp and B. F. Logan, "The Fourier reconstruction of a head section," IEEE Trans. Nucl. Sci. 21, 21-43 (1974).
14. J. A. Fessler, "Penalized weighted least-squares image reconstruction for positron emission tomography," IEEE Trans. Med. Imaging 13, 290-300 (1994).
15. D. Van De Ville, M. Nachtegael, D. V. Weken, E. E. Kerre, W. Philips, and I. Lemahieu, "Noise reduction by fuzzy image filtering," IEEE Trans. Fuzzy Syst. 11, 429-436 (2003).
16. D. Van De Ville, W. Philips, and I. Lemahieu, "Fuzzy-based motion detection and its application to de-interlacing," in Fuzzy Techniques in Image Processing, E. E. Kerre and M. Nachtegael, eds., Vol. 52 of Studies in Fuzziness and Soft Computing (Springer-Verlag, 2002), pp. 337-369.
17. M. Nachtegael and E. E. Kerre, "Decomposing and constructing fuzzy morphological operations over a-cuts: continuous and discrete case," IEEE Trans. Fuzzy Syst. 8, 615-626 (2000).
18. S. Bothorel, B. Bouchon, and S. Muller, "A fuzzy logic-based approach for semiological analysis of microcalcification in mammographic images," Int. J. Intell. Syst. 12, 819-843 (1997).
19. E. Veclerov and J. Llacer, "Stopping rule for MLE algorithm based on statistical hypothesis testing," IEEE Trans. Med. Imaging 6, 313-319 (1987).
20. X. Ouyang, W. H. Wong, V. E. Johnson, X. Hu, and C. T. Chen, "Incorporation of correlated structural images in PET image reconstruction," IEEE Trans. Med. Imaging 13, 627-640 (1994).
21. S. J. Lee, A. Rangarajan, and G. Gindi, "Bayesian image reconstruction in SPECT using higher order mechanical models as priors," IEEE Trans. Med. Imaging 14, 669-680 (1995).
22. S. J. Lee, "Accelerated deterministic annealing algorithms for transmission CT re-construction using ordered subsets," IEEE Trans. Nucl. Sci. 49, 2373-2380 (2002).
23. J. Besag, "Spatial interaction and the statistical analysis of lattice systems," J. R. Stat. Soc. Ser. B. Methodol. 36, 192-236 (1974).
24. P. P. Mondal and K. Rajan, "Iterative image reconstruction for emission tomography using fuzzy potential," in IEEE International Nuclear Science Symposium and Medical Imaging Conference (IEEE, 2004), paper M9-283.
25. P. P. Mondal and K. Rajan, "Fuzzy rule based image reconstruction for PET," in IEEE International Conference on Systems, Man and Cybernetics (IEEE, 2004), pp. 3028-3032.
26. P. P. Mondal and Rajan Kanhirodan, "Image reconstruction for PET using fuzzy potential," in International Workshop on Machine Learning for Signal Processing (MLSP) (IEEE, 2004).
27. L. A. Zadeh, "Fuzzy Logic," IEEE Computer, April, 1988, pp. 83-93.
28. N. Rajeevan, K. Rajgopal, and G. Krishna, "Vector-extrapolated fast maximum likelihood estimation algorithms for emission tomography," IEEE Trans. Med. Imaging 11, 9-20 (1992).
29. L. Kaufmann, "Implementing and accelerating the EM-algorithm for positron emission tomography," IEEE Trans. Med. Imaging 6, 37-51 (1987).