Tradeoffs in regularized maximum-likelihood image restoration

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 2984, Issue , 1997, Pages 136-145

  Markham, Joanne ^a   Conchello, José Angel ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

3D microscopy; Deconvolution; Evaluation; Maximum penalized likelihood

Indexed keywords

BLOCK CODES; COMPUTATIONAL METHODS; CONVOLUTION; FOURIER TRANSFORMS; FUNCTION EVALUATION; FUNCTIONS; IMAGE ACQUISITION; IMAGE RECONSTRUCTION; IMAGE RECORDING; MAXIMUM LIKELIHOOD; MAXIMUM LIKELIHOOD ESTIMATION; MERGERS AND ACQUISITIONS; OPTICAL TRANSFER FUNCTION; PIXELS; POSITRON EMISSION TOMOGRAPHY; PROBABILITY DENSITY FUNCTION;

3D MICROSCOPY; ESTIMATION PROCESSES; EVALUATION; FIGURE OF MERITS; FREQUENCY DOMAINS; IMAGE ESTIMATIONS; IMAGE FORMATIONS; IMAGE RESTORATIONS; MAXIMUM ENTROPIES; MAXIMUM PENALIZED LIKELIHOOD; MICROSCOPICAL IMAGES; PIXEL VALUES; POINT SOURCES; POTENTIAL ARTIFACTS; ROUGHNESS PENALTIES; SMALL PIXELS; SMALL REGIONS; SPREAD FUNCTIONS; SQUARED DIFFERENCES;

THREE DIMENSIONAL;

EID: 58149397562     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.271259     Document Type: Conference Paper

References (28)

1. J. A. Conchello, J. J. Kim, and E. W. Hansen, "Enhanced 3-D Reconstruction from Confocal Scanning Microscope Images. 2: Depth Discrimination vs. Signal-to-Noise Ratio in Partially Confocal Images," Appl. Opt.-Information Processing 33(17) pp3740-3750 (1994).
2. J. A. Conchello, and E. W. Hansen "Enhanced 3-D reconstruction from confocal scanning microscope images. 1: Deterministic and maximum likelihood reconstructions," Applied Optics 29(26) pp3795-3804 (1990).
3. J. A. Conchello and Q. Yu "Parametric blind deconvolution of fluorescence microscopy images: preliminary results" in Three-Dimensional microscopy: image acquisition and processing, C. J. Cogswell, G. Kino, and T. Wilson, editors. Proceedings of the 1996 IS&T/SPIE symposium on electronic imaging: Science and technology, San José, CA 2655 SPIE code No 2655-27 (1996).
4. C. Preza, M. I. Miller, and J.-A. Conchello "Image reconstruction for 3-D light microscopy with a regularized linear method incorporating a smoothness prior" in Biomedical image processing and biomedical visualization. R. S. Acharya and D. B. Goldgof, Editors Proceedings of the IS&T/SPIE symposium on Electronic Imaging, Science and Technology, pp129-139 (1993).
5. D. A. Agard, "Optical sectioning microscopy", Ann. Rev. Biophys. Bioeng. 13 191-219, (1984).
6. D. A. Agard, Y. Hiraoka, P. Shaw, and J. W. Sedat, "Fluorescence Microscopy in Three-Dimensions," Methods in Cell Biology, 30:353-377, 1989.
7. W. A. Carrington, K. E. Fogarty, and F. S. Fay "3D fluorescence imaging of single cells using image restoration" Chapter 3 in Noninvasive techniques in cell biology, J. K. Fosket and S. Grinstein, editors. Willey-Liss, pp53-72 (1990).
8. A. Erhardt, G. Zinser, D. Komitowski, and J. Bille, "Reconstructing 3-D Light-Microscopic Images by Digital Image Processing," Appl. Opt., 24, 194-200 (1985).
9. S. S. Stefanou and E. W. Hansen "Restoration of edges under Poisson noise using convex constraints with application to 3D optical microscopy" article 2984-32 in Three-dimensional microscopy: Image acquisition and processing IV, C. J. Cogswell, J.-A. Conchello and T. Wilson, editors Proceedings of the SPIE, Vol. 2984 (1997).
10. T. J. Holmes "Expectation-maximization restoration of band limited, truncated point-process intensities with application in microscopy" J. Opt. Soc. Am.-A 6(7) pp1006-1014 (1989).
11. T. J. Holmes "Blind deconvolution of quantum-limited incoherent imagery". J. Opt. Soc. Am. A 9(7) pp1052-1061 (1992).
12. S. Joshi and M. I. Miller "Maximum a posteriori Estimation with Good's Roughness for Optical Sectioning Microscopy," J. Opt. Soc. Am.-A 10(5) pp1078-1085 (1993).
13. L. M. Loew, R. A. Tuft, W. Carrington, and F. S. Fay "Imaging in five dimensions: Time-dependent membrane potentials in individual mitochondria" Biophysical Journal 65(12) pp2396-2407 (1993).
14. C. Preza, M. I. Miller, L. J. Thomas, Jr., and J. G. McNally "Regularized method for reconstruction of three-dimensional microscopic objects from optical sections" J. Opt. Soc. Am. A 9(2), pp219-228, (1992).
15. A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum Likelihood from Incomplete Data via the EM Algorithm," Journal of the Royal Statistical Society B, 39(1):1-38 (1977).
16. J. A. Conchello "Super-resolution and point spread function sensitivity analysis of the expectation-maximization algorithm for computational optical sectioning microscopy" in Image Reconstruction and Restoration, T. J. Schulz and D. L. Snyder, editors. Proceedings of the SPIE 1994 International symposium on Optics, Imaging, and Instrumentation San Diego, CA 2302 pp369-378 (1994).
17. D. L. Snyder, M. I. Miller, L. J. Thomas, Jr., and D. G. Politte "Noise and Edge Artifacts in Maximum-Likelihood Reconstructions for Emission Tomography", IEEE Transactions on Medical Imaging, MI-6(3) pp228-238, (1987).
18. B. W. Silverman, M. C. Johns, J. D. Wilson, and D. W. Nychka "A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography" J. R. Statis. Soc. B 52(2) pp271-324 (1990)
19. B. W. Silverman Density estimation for statistics and data analysis Chapman-Hall, London, England (1986).
20. I. J. Good and R. A. Gaskins "Nonparametric Roughness Penalties for Probability Densities," Biometrika, 58(2):pp 255-277, (1971).
21. J. A. Conchello and J. G. McNally "Fast regularization technique for expectation maximization algorithm for computational optical sectioning microscopy" in Three-Dimensional microscopy: image acquisition and processing, C. J. Cogswell, G. Kino, and T. Wilson, editors. Proceedings of the 1996 IS&T/SPIE symposium on electronic imaging: Science and technology, San José, CA 2655 SPIE code No 2655-24. (1996).
22. F. S. Gibson, and F. Lanni, "Experimental test of an analytical model of aberration in an oil-immersion objective lens used in three-dimensional light microscopy," J. Opt. Soc. Am. A, 8(11), pp1601-1613 (1991).
23. M. Born and E. Wolf Principles of Optics 6e Pergamon Press, New York (1980), p436.
24. E. Hecht, and A. Zajac Optics Addison Wesley, Reading, MA (1974), p355.
25. D. Snyder and M. I. Miller Random point processes in time and space 2e Springer-Verlag, New York, NY (1991).
26. M. D. Greenberg Foundations of Applied Mathematics Prentice-Hall, Englewood Cliffs, NJ (1978).
27. G. D. Smith, Numerical solution of partial differential equations: Finite difference methods, 3e, Oxford University Press, New York pp. 261-266 (1992).
28. W. F. Ames Numerical methods for partial differential equations, Barnes and Noble, New York, NY pp.82-83 (1971).