Representation of photon limited data in emission tomography using origin ensembles

Physics in Medicine and Biology

Volumn 53, Issue 12, 2008, Pages 3201-3216

  Sitek, A ^a  

^a BRIGHAM AND WOMEN S HOSPITAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIAGNOSTIC RADIOGRAPHY; IMAGE ENHANCEMENT; IMAGING TECHNIQUES; MANAGEMENT SCIENCE; MARKOV PROCESSES; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; MEDICAL IMAGING; MONTE CARLO METHODS; PARAMETER ESTIMATION; PHOTONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; REPAIR; RESTORATION; SECURITY OF DATA; STANDARDS; THERMOGRAPHY (TEMPERATURE MEASUREMENT); THREE DIMENSIONAL; TOMOGRAPHY; VECTORS;

EMISSION TOMOGRAPHY; EVENT ACQUISITION; EXPERIMENTAL DATA; HIGH NOISE LEVELS; IMAGE ESTIMATION; LIMITED DATA; LIST-MODE; MARKOV CHAIN MONTE CARLO METHODS; MAXIMUM-LIKELIHOOD APPROACH; NEW APPROACHES; OBJECT SIZE; POSITRON EMISSION; PROBABILITY DENSITY FUNCTION (PDF); RECONSTRUCTION ERRORS; SAMPLING DENSITIES; THREE-DIMENSIONAL SPACE; TOMOGRAPHIC;

POSITRON EMISSION TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPUTED TOMOGRAPHY SCANNER; COMPUTER SIMULATION; DENSITY FUNCTIONAL THEORY; MONTE CARLO METHOD; PHOTON EMISSION TOMOGRAPHY; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL; PROBABILITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; COMPUTER SIMULATION; IMAGE PROCESSING, COMPUTER-ASSISTED; PHOTONS; POSITRON-EMISSION TOMOGRAPHY; TOMOGRAPHY, EMISSION-COMPUTED; TOMOGRAPHY, EMISSION-COMPUTED, SINGLE-PHOTON;

EID: 45949098820     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/53/12/009     Document Type: Article

References (23)

1. Barrett H H and Myers K J 2004 Foundations of Image Science (Wiley Series in Pure and Applied Optics) (Hoboken: Wiley)
2. Barrett H H, White T and Parra L C 1997 List-mode likelihood J. Opt. Soc. Am. A Opt. Image Sci. Vis. 14 2914-23
3. Carson R E 1986 A maximum likelihood method for region-of-interest evaluation in emission tomography J. Comput. Assist. Tomogr. 10 654-63
4. Defrise M and Gullberg G T 2006 |Image reconstruction Phys. Med. Biol. 51 R139-54
5. Hastings W 1970 Monte Carlo sampling methods using Markov chains and their applications Biometrika pp 97-109
6. Higdon D M, Bowsher J E, Johnson V E, Turkington T G, Gilland D R and Jaszczak R J 1997 Fully Bayesian estimation of Gibbs hyperparameters for emission computed tomography data IEEE Trans. Med. Imaging 16 516
7. Higdon D, Lee H and Zhuoxin B 2002 A Bayesian approach to characterizing uncertainty in inverse problems using coarse and fine-scale information IEEE Trans. Signal Process. 50 389
8. Howard R 1971 Dynamic Probabilistic Systems (New York: Wiley)
9. Huang K 1967 Statistical Mechanics (New York: Wiley)
10. 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
11. Metropolis N, Rosenbluth A, Rosenbluth M, Teller A and Teller E 1953 Equation of state calculations by fast computing machines J. Chem. Phys. 21 1087-92
12. Meyn S and Tweedie R 1993 Markov chains and Stochastic Stability (London: Springer)
13. Newman M and Barkema G 1999 Monte Carlo Methods in Statistical Physics (New York: Oxford University Press)
14. Nichols T E, Qi J, Asma E and Leahy R M 2002 Spatiotemporal reconstruction of list-mode PET data IEEE Trans. Med. Imaging 21 396-404
15. Nummelin E 1984 General Irreducible Markov Chains and Non-negative Operators (Cambridge: Cambridge University Press)
16. Qi J and Leahy R M 2006 Iterative reconstruction techniques in emission computed tomography Phys. Med. Biol. 51 R541-78
17. Shepp L and Vardi Y 1982 Maximum likelihood reconstruction for emission tomography IEEE Trans. Med. Imaging 1 113-22
18. Singh M 1983 An electronically collimated gamma camera for single photon emission computed tomography: part I. Theoretical considerations and design criteria Med. Phys. 10 421-7
19. Singh M and Doria D 1983 An electronically collimated gamma camera for single photon emission computed tomography: part II. Image reconstruction and preliminary experimental measurements Med. Phys. 10 428-35
20. Sitek A, Huesman R H and Gullberg G T 2006 Tomographic reconstruction using an adaptive tetrahedral mesh defined by a point cloud IEEE Trans. Med. Imaging 25 1172
21. Sitek A, Reutter B W, Huesman R H and Gullberg G T 2006 Method of generating multiple sets of experimental phantom data J. Nucl. Med. 47 1187-92
22. Snyder D 1984 Parameter estimation for dynamic studies in emission-tomography systems having list-mode data IEEE Trans. Nucl. Sci. 31 925-31
23. Webb S 1989 SPECT reconstruction by simulated annealing Phys. Med. Biol. 34 259