Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior

Physics in Medicine and Biology

Volumn 49, Issue 20, 2004, Pages 4717-4730

  Chlewicki, W ^a,b,c   Hermansen, F ^a   Hansen, S B ^a  

^a AARHUS UNIVERSITY HOSPITAL   (Denmark)

^b UNIVERSITY OF PATRAS   (Greece)

^c WEST POMERANIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA ACQUISITION; IMAGE QUALITY; IMAGE RECONSTRUCTION; POSITRON EMISSION TOMOGRAPHY;

BAYESIAN ALGORITHMS; HUBER FUNCTION;

NOISE ABATEMENT;

FLUORODEOXYGLUCOSE F 18;

ACCURACY; ALGORITHM; ARTICLE; BAYES THEOREM; CALCULATION; CONTRAST ENHANCEMENT; CONTROLLED STUDY; DATA ANALYSIS; IMAGE QUALITY; IMAGE RECONSTRUCTION; NOISE REDUCTION; NON INVASIVE MEASUREMENT; PHANTOM; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL; SIMULATION; STATISTICAL PARAMETERS; STATISTICAL SIGNIFICANCE;

ALGORITHMS; BAYES THEOREM; BRAIN; COMPUTER SIMULATION; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PHANTOMS, IMAGING; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STOCHASTIC PROCESSES;

EID: 7244247166     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/49/20/004     Document Type: Article

References (28)

1. Alenius S and Ruotsalainen U 1997 Bayesian image reconstruction for emission tomography based on median root prior Eur. J. Nucl. Med. 24 258-65
2. Alenius S and Ruotsalainen U 2002 Generalization of median root prior reconstruction IEEE Trans. Med. Imaging 21 1413-20
3. Brankov J G, Yang Y and Wernick M N 2004 Tomographic image reconstruction based on a content-adaptive mesh model IEEE Trans. Med. Imaging 23 202-12
4. Censor Y 1983 Finite series-expansion reconstruction methods Proc. IEEE 71 409-19
5. Chlewicki W, Badea C and Pallikarakis N 2001 Cone based 3D reconstruction: a FDK-SART comparison for limited number of projections Proc. MEDICON 2001 (Pula, Croatia, 12-15 June) pp 495-7
6. Fessler J F 1997 Grouped coordinate descent algorithms for robust edge-preserving image restoration Proc. SPIE 97, Im. Recon. and Restor. II, vol 3170, pp 184-94
7. Garcia I, Ortigosa P M, Casado L G, Herman G T and Matej S 1997 Multidimensional optimization in image reconstruction from projections Developments in Global Optimization ed J M Bonze (Dordrecht: Kluwer) pp 289-99
8. Green P J 1990 Bayesian reconstruction from emission tomography data using a modified EM algorithm IEEE Trans. Med. Imaging 9 84-93
9. Hanson K M and Wecksung G W 1985 Local basis-function approach to computed tomography Appl. Opt. 24 4028-39
10. Hebert T and Leahy R 1989 A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors IEEE Trans. Med. Imaging 8 194-202
11. Herman G T 1980 Image Reconstruction from Projections - The Fundamentals of Computerized Tomography (New York: Academic)
12. Herman G T and Lent A 1976 Iterative reconstruction algorithms Comput. Biol. Med. 6 273-94
13. Hudson H M and Larkin R S 1994 Accelerated image reconstruction using ordered subsets of projection data IEEE Trans. Med. Imaging 13 601-9
14. Lewitt R M 1990 Multidimensional digital image representation using generalized Kaiser-Bessel window functions J. Opt. Soc. Am. A 7 1834-46
15. Lewitt R M 1992 Alternatives to voxels for image representation in iterative reconstruction algorithms Phys. Med. Biol. 37 705-16
16. Liow J S and Strother S C 1993 The convergence of object dependent resolution in maximum likelihood based tomographic reconstruction Phys. Med. Biol. 38 55-70
17. 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
18. Matej S, Herman G T, Narayan T K, Furuie S S, Lewitt R M and Kinahan P E 1994 Evaluation of task-oriented performance of several fully 3D PET reconstruction algorithms Phys. Med. Biol. 39 355-67
19. Matej S and Lewitt R M 1996 Practical considerations for 3-D image reconstruction using spherically symmetric volume elements IEEE Trans. Med. Imaging 15 68-78
20. Mueller K, Yagel R and Wheller J J 1999 Fast implementations of algebraic methods for the 3D reconstruction from cone-beam data IEEE Trans. Med. Imaging 18 538-48
21. Seret A 1998 Median root prior and ordered subsets in bayesian image reconstruction of single-photon emission tomography Eur. J. Nucl. Med, 25 215-9
22. Shepp L A and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 113-22
23. Siddon R L 1985 Fast calculation of the exact radiological path for a three-dimensional CT array Med. Phys. 12 252-5
24. Stayman J W and Fessler J A 2004 Compensation for nonuniform resolution using penalized-likelihood reconstruction in space variant imaging systems IEEE Trans. Med. Imaging 91 1588-611
25. Strauss L G, Kontaxakis G and Strauss A D 2001 Performance characteristics of iterative image reconstruction techniques for routine use in positron emission tomography Rev. Med. Nucl. Alasbimn J. 13 (http://www.alasbimnjournal.cl/revistas/13/strauss.html)
26. Toft P 1996 The Radon transform - theory and implementation PhD Thesis Technical University of Denmark, Lyngby, Denmark
27. Veklerov E and Llacer L 1987 Stopping rule for the MLE algorithm based on statistical hypothesis testing IEEE Trans. Med. Imaging 6 313-9
28. Zhang Y, Fessler J A, Clinthorne N H and Rogers W L 1995 A hybrid-grid parametrization method for SPECT reconstruction J. Nucl. Med. 36 172