Revisiting stopping rules for iterative methods used in emission tomography

Computerized Medical Imaging and Graphics

Volumn 35, Issue 5, 2011, Pages 398-406

  Guo, Hongbin ^a   Renaut, Rosemary A ^b  

^a InstaRecon Inc   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Expectation maximization; Image reconstruction; PET; Stopping rule; U

Indexed keywords

COMPUTATIONALLY EFFICIENT; EMISSION DENSITY; EMISSION TOMOGRAPHY; EXPECTATION MAXIMIZATION; EXPECTATION-MAXIMIZATION ALGORITHMS; MONTE CARLO; PET; POISSON NOISE; SINOGRAM DATA; SINOGRAMS; STOPPING RULE; TRANSITION MATRICES; U;

ALGORITHMS; IMAGE MATCHING; IMAGE RECONSTRUCTION; MAXIMUM PRINCIPLE; POISSON DISTRIBUTION; SIGNAL TO NOISE RATIO;

POSITRON EMISSION TOMOGRAPHY;

ACCURACY; ALGORITHM; ARTICLE; CALCULATION; IMAGE RECONSTRUCTION; MATHEMATICAL MODEL; MONTE CARLO METHOD; POISSON DISTRIBUTION; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL; REPRODUCIBILITY; SIGNAL NOISE RATIO; SIMULATION; TECHNIQUE; VALIDITY;

ALGORITHMS; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; POSITRON-EMISSION TOMOGRAPHY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 79956348098     PISSN: 08956111     EISSN: 18790771     Source Type: Journal    
DOI: 10.1016/j.compmedimag.2010.11.011     Document Type: Article

References (18)

1. Gorden R., Bender R., Herman G.T. Algebraic reconstruction techniques (ART) for three dimension electron microscopy and X-ray photography. J Theor Biol 1970, 29:471-481.
2. Shepp L.A., Vardi Y. Maximum likelihood reconstruction for emission tomography. IEEE Trans Med Imag 1982, MI-1(2):113-122.
3. Hudson H.M., Hutton B.F., Larkin R. Accelerated EM reconstruction using ordered subsets. J Nucl Med 1992, 33:960.
4. Hudson H.M., Larkin R. Accelerated imaging reconstruction using orded subsets of projection data. IEEE Trans Med Imag 1994, 13(4):601-609.
5. Leahy R., Byrne C. Recent developments in iterative image reconstruction for PET and SPECT. IEEE Trans Med Imag 2000, 19:257-260.
6. Veklerov E., Llacer J. Feasible images and practical stopping rules for iterative algorithms in emission tomography. IEEE Trans Med Imag 1989, 8:186-193.
7. Holte S., Schmidlin P., Linden A., Rosenqvist G., Eriksson L. Iterative image reconstruction for positron emission tomography: a study of convergence and quantitation problems. IEEE Trans Nucl Sci 1990, 37(2):629-635.
8. Bissantz N., Mair B.A., Munk A. A statistical stopping rule for MLEM reconstructions in PET. IEEE nuclear science symposium conference record 2008, 4198-4200.
9. Gaitanis A., Kontaxakis G., Spyrou G., Panayiotakis G., Tzanakos G. PET image reconstruction: a stopping rule for the MLEM algorithm based on properties of the updating coefficients. Comput Med Imag Grap 2010, 34(2):131-141.
10. Positron emission tomography and autoradiography. Principles and applications for the brain and heart 1986, Raven Press. M.E. Phelps, J.C. Mazziotta, H.R. Schelbert (Eds.).
11. Vogel C.R. Computational methods for inverse problems 2002, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA.
12. Dempster A.P., Laird N.M., Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B 1977, 39:1-38.
13. Richardson W.H. Bayesian-based iterative method of image restoration. J Opt Soc Am 1972, 62(1). 55+.
14. Lucy L.B. An iterative technique for the rectification of observed distributions. Astron J 1974, 79. 745+.
15. Vardi Y., Shepp L.A., Kaufman L. A statistical model for positron emission tomogrphy. J Am Stat Ass 1985, 80:8-20.
16. Veklerov E., Llacer J. Stopping rule for the MLE algorithm based on statistical hypothesis testing. IEEE Trans Med Imag 1987, 6(4):313-319.
17. Coakley K. A cross-validation procedure for stopping the EM algorithm and deconvolution of neutron depth profiling spectra. IEEE Trans Nucl Sci 1991, 38:9-15.
18. Johnson V.E. A note on stopping rules in EM-ML reconstructions of ECT images. IEEE Trans Med Imag 1994, 13(3):569-571.