Minimum cross-entropy reconstruction of PET images using prior anatomical information

Physics in Medicine and Biology

Volumn 41, Issue 11, 1996, Pages 2497-2517

  Ardekani, Babak A ^a   Braun, Michael ^b   Hutton, Brian F ^c   Kannof, Iwao ^a   Iida, Hidehiro ^a  

^a RESEARCH INSTITUTE FOR BRAIN AND BLOOD VESSELS AKITA   (Japan)

^b UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

^c WESTMEAD HOSPITAL   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; IMAGING; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL;

ALGORITHMS; BRAIN; ENTROPY; HUMANS; MAGNETIC RESONANCE IMAGING; MODELS, THEORETICAL; PHANTOMS, IMAGING; PROBABILITY; TOMOGRAPHY, EMISSION-COMPUTED;

EID: 0029858870     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/41/11/018     Document Type: Article

References (64)

1. Ardekani B A 1995 Fusion of anatomical and functional images of the brain PhD Thesis University of Technology, Sydney
2. Ardekani B A, Braun M, Hutton B F, Kanno I and Iida H 1995 A fully automatic multimodality image registration algorithm J. Comput. Assist. Tomogr. 19 615-23
3. Byrne C L 1993 Iterative image reconstruction algorithms based on cross-entropy minimization IEEE Trans. Image Processing 2 96-103
4. Carson R E 1986 A maximum likelihood method for region-of-interest evaluation in emission tomography J. Comput. Assist. Tomogr. 10 654-63
5. Carson R E, Yan Y, Chodkowski B A, Yap T K and Daube-Witherspoon M E 1994 Precision and accuracy of regional radioactivity quantitation using the maximum likelihood EM reconstruction algorithm IEEE Trans. Med. Imaging 13 526-37
6. Chen C-T, Johnson V E, Wong W H, Hu X and Metz C E 1990 Bayesian image reconstruction in positron emission tomography IEEE Trans. Nucl. Sci. 37 636-41
7. Chen C-T, Ouyang X, Wong W H, Hu X, Johnson V E, Ordonez C E and Metz C E 1991 Sensor fusion in image reconstruction IEEE Trans. Nucl. Sci. 38 687-92
8. Chin R T and Yeh C L 1983 Quantitative evaluation of some edge-preserving noise-smoothing techniques Comput. Vision Graph. Image Processing 23 67-91
9. Chornoboy E S, Chen C J, Miller M I, Miller T R and Snyder D L 1990 An evaluation of maximum likelihood reconstruction for SPECT IEEE Trans. Med. Imaging 9 99-110
10. Coakley K J 1991 A cross-validation procedure for stopping the EM algorithm and deconvolution of neutron depth profiling spectra IEEE Trans. Nucl. Sci. 38 9-15
11. Dempster A P, Laird N M and Rubin D B 1977 Maximum likelihood from incomplete data via the EM algorithm J. R. Stat Soc. B 39 1-38
12. Du Buf J M H and Campbell T G 1990 A quantitative comparison of some edge-preserving smoothing techniques Signal Processing 21 289-301
13. Geman S and Geman D 1984 Stochastic relaxation, Gibbs distributions, and the bayesian restoration of images IEEE Trans. Pattern Anal. Machine Intell. 6 721-41
14. Geman S and McClure D E 1987 Statistical methods for tomographic image reconstruction Bull. Int. Stat. Inst. LII-4 5-21
15. Gindi G, Lee M, Rangarajan A and Zubal I G 1993 Bayesian reconstruction of functional images using anatomical information as priors IEEE Trans. Med. Imaging 12 670-80
16. Green P J 1990 Bayesian reconstructions from emission tomography data using a modified EM algorithm IEEE Trans. Med. Imaging 9 84-93
17. Hebert T J 1990 Statistical stopping criteria for iterative maximum likelihood reconstruction of emission images Phys. Med. Biol. 35 1221-32
18. Hebert T and Leahy R 1989 A generalized EM algorithm for 3-D Bayesian reconstruction for Poisson data using Gibbs priors IEEE Trans. Med. Imaging 6 98-105
19. Hildebrand F B 1974 Intraduction to Numerical Analysis (New York: McGraw-Hill)
20. Hoffman E J and Phelps M E 1986 Positron emission tomography: principles and quantification Positron Emission Tomography and Autoradiography: Principles and Applications for the Brain and Heart ed M Phelps, J Mazziotta and H Schelbert (New York: Raven) pp 237-86
21. Hudson H M and Larkin R S 1994 Accelerated image reconstruction using ordered subsets of projection data IEEE Trans. Med. Imaging 13 601-9
22. Huesman R H, Gullberg G T, Greenberg W L and Budinger T F 1977 User Manual, Donner Algorithms for Reconstruction Tomography Lawrence Berkeley Laboratory, University of California
23. Iida H, Miura S, Kanno I, Murakami M, Takahashi K, Uemura K, Hirose Y, Amano M, Yamamoto S and Tanaka K 1989 Design and evaluation of HEADTOME-IV, a whole-body positron emission tomograph IEEE Trans. Nucl. Sci. 37 1006-10
24. Jaynes ET 1982 On the rationale of maximum-entropy methods Proc. IEEE 70 939-52
25. Johnson V E 1994 A note on stopping rules in EM-ML reconstruction of ECT images IEEE Trans. Med. Imaging 13 569-71
26. Johnson V E, Wong W H, Hu X and Chen C-T 1991 Image restoration using Gibbs priors: Boundary modeling, treatment of blurring, and selection of hyperparameter IEEE Trans. Pattern Anal. Machine Intell. 13 413-24
27. 2O autoradiographic method and positron emission tomography J. Cereb. Blood Flow Metab. 7 143-53
28. Kaufman L 1987 Implementing and accelerating the EM algorithm for positron emission tomography IEEE Trans. Med. Imaging 6 37-51
29. Kullback S 1969 Information Theory and Statistics (New York: Dover)
30. Lalush D S and Tsui B M W 1993 A generalized Gibbs prior for maximum a posteriori reconstruction in SPECT Phys. Med. Biol. 38 729-41
31. Lange K, Bahn M and Little R 1987 A theoretical study of some maximum likelihood algorithms for emission and transmission tomography IEEE Trans. Med. Imaging 6 106-14
32. Lange K and Carson R 1984 EM reconstruction algorithms for emission and transmission tomography J. Comput. Assist. Tomogr. 8 306-16
33. Leahy R and Yan X 1991 Incorporation of anatomical MR data for improved functional imaging with PET Information Processing in Medical Imaging ed A C F Colchester and D J Hawkes (New York: Springer) pp 105-20
34. Lee J-S 1983 Digital image smoothing and the sigma filter Comput. Vision Graph. Image Processing 24 255-69
35. Levitan E and Herman G T 1987 A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography IEEE Trans. Med. Imaging 16 185-92
36. Lewitt R M and Muehllehner G 1986 Accelerated iterative reconstruction for positron emission tomography based on the EM algorithm for maximum likelihood estimation IEEE Trans. Med. Imaging 5 16-22
37. Liang Z and Hart H 1987 Bayesian image processing of data from constrained source distributions - I. Non-valued, uncorrelated and correlated constraints Bull. Math. Biol. 49 51-74
38. Liang Z, Jaszczak R and Greer K 1989 On bayesian image reconstruction from projections: uniform and nonuniform a priori source information IEEE Trans. Med. Imaging 8 227-35
39. Llacer J and Veklerov E 1989 Feasible images and practical stopping rules for iterative algorithms in emission tomography IEEE Trans. Med. Imaging 8 186-93
40. Llacer J, Veklerov E, Coakley K J, Hoffman E J and Nunez J 1993 Statistical analysis of maximum likelihood estimator images of human FDG PET studies IEEE Trans. Med. Imaging 12 215-31
41. Llacer J, Veklerov E and Nunez J 1989 Statistically based image reconstruction for emission tomography Int. J. Imaging Syst. Technol. 1 132-48
42. Mastin G A 1985 Adaptive filters for digital image noise smoothing: an evaluation Comput. Vision Graph. Image Processing 31 103-21
43. Mazziotta J C, Phelps M E and Kuhl D E 1981 Quantitation in positron emission tomography: 5. Physical anatomical effects J. Comput. Assist. Tomogr. 5 734-43
44. Molina R 1994 On the hierarchical Bayesian approach to image restoration: Applications to astronomical images IEEE Trans. Pattern Anal. Machine Intell. 16 1122-8
45. Nagao M and Matsuyama T 1979 Edge preserving smoothing Comput. Graph. Image Processing 9 394-407
46. Nunez J and Llacer J 1990 A fast bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images IEEE Trans. Med. Imaging 9 159-71
47. Ouyang X, Wong W H, Johnson V E, Hu X and Chen C T 1994 Incorporation of correlated structural images in PET image reconstruction IEEE Trans. Med. Imaging 13 627-40
48. Politte D G and Snyder D L 1991 Corrections for accidental coincidences and attenuation in maximum-likelihood image reconstruction for positron-emission tomography IEEE Trans. Med. Imaging 10 82-9
49. Poon C S, Braun M and Ginige A 1993 Edge-preserving smoothing of medical images using spatially adaptive filters Proc. 15th Annu. Int. Conf. IEEE EMBS (San Diego) (San Diego, CA: [EEE) pp 9
50. Rajeevan N, Rajgopal K and Krishna G 1992 Vector-extrapolated fast maximum likelihood estimation algorithms for emission tomography IEEE Trans. Med. Imaging 11 9-20
51. Ranganath M V, Dhawan A P and Mullani N 1988 A multigrid expectation maximization reconstruction algorithm for positron emission tomography IEEE Trans. Med. Imaging 7 273-8
52. Rudin W 1976 Principles of Mathematical Analysis (Tokyo: McGraw-Hill Kogakusha)
53. Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 113-22
54. Shore J E and Johnson R W 1981 Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross entropy IEEE Trans. Infor. Theory 26 26-36
55. Silverman B W, Jones M C, Wilson J D and Nychka D W 1990 A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography J. R. Stat. Soc. B 52 271-324
56. Snyder D L and Miller M I 1985 The use of sieves to stabilize images produced with the EM algorithm for emission tomography IEEE Trans Nucl. Sci. 32 3864-72
57. Tanaka E 1987 A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm IEEE Trans. Med. Imaging 6 98-105
58. Thompson A M, Brown J C, Kay J W and Titterington D M 1991 A study of methods of choosing the smoothing parameter in image restoration by regularization IEEE Trans. Pattern Anal. Machine Intell. 13 326-38
59. Titterington D M 1987 On the iterative image space reconstruction algorithm for ECT IEEE Trans. Med. Imaging 6 52-6
60. Vardi Y, Shepp L A and Kaufmann L 1985 A statistical model for positron emission tomography J. Am. Stat. Assoc. 80 8-37
61. Veklerov E and Llacer J 1987 Stopping rule for the MLE algorithm based on statistical hypothesis testing IEEE Trans. Med. Imaging 6 313-9
62. Veklerov E, Llacer J and Hoffman E J 1988 MLE reconstruction of a brain phantom using a Monte Carlo transition matrix and a statistical stopping rule IEEE Trans. Nucl. Sci. 35 603-7
63. Wang D C C and Vagnucci A H 1981 Gradient inverse weighted smoothing scheme and the evaluation of its performance Comput. Vision Graph. Image Processing 15 167-81
64. Wu C F J 1983 On the convergence properties of the EM algorithm Ann. Stat. 11 95-103