Comparing maximum likelihood estimation and constrained tikhonov-Miller restoration: As applied to confocal microscopy

IEEE Engineering in Medicine and Biology Magazine

Volumn 15, Issue 1, 1996, Pages 76-83

  Van Kempen, Geert M P ^a   Van Der Voort, Hans T M ^b,c   Bauman, Jan G J ^c,e,f   Strasters, Karel C ^a,d  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b Scientific Volume Imaging BV   (Netherlands)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

^d PHILIPS HEALTHCARE   (United States)

^e LEIDEN UNIVERSITY   (Netherlands)

^f EC Slater Institute

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANTIBODIES; COMPUTER SIMULATION; ESTIMATION; FLUORESCENCE; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; MICROSCOPES; PROTEINS; SIGNAL TO NOISE RATIO;

CONFOCAL MICROSCOPY; CONSTRAINED TIKHONOV-MILLER RESTORATION; EXPECTATION MAXIMIZATION; FAST HARTLEY TRANSFORM; MAXIMUM LIKELIHOOD ESTIMATION; POINT SPREAD FUNCTION; POISSON PROCESS;

MICROSCOPIC EXAMINATION;

IMMUNOGLOBULIN G ANTIBODY; TUBULIN;

ALGORITHM; ARTICLE; CONFOCAL LASER MICROSCOPY; IMAGE DISPLAY; IMAGE RECONSTRUCTION; MAXIMUM LIKELIHOOD METHOD; MEASUREMENT; NONHUMAN;

EID: 0030051591     PISSN: 07395175     EISSN: None     Source Type: Journal    
DOI: 10.1109/51.482846     Document Type: Article

References (23)

1. Wijnaends van Resandt RW, Marsman HJB, Kaplan R, Davoust J, Stelzer EKH, Stricker R: Optical fluorescence microscopy in 3 dimensions: microtomoscopy. J. of Microscopy 138: 29-34, 1985.
2. Van der Voort HTM, Strasters KC: Restoration of confocal images for quantitative image analysis. J of Microscopy 178 (2): 165-181, 1995.
3. Snyder DL, Hammoud AM, White RL: Image recovery from data acquired with a chargecoupled-device camera. J of the Optical Socieiy of America 10 (5): 1014-1023, 1993.
4. Holmes TJ, Bhattacharyya S, Cooper JA, Hanzel D, Krishnamurti V, et al: Light Microscopic Images reconstructed bY maximum likelihood deconvolution. Handbook of biological Confocal Microscopy, Plenum Press, New York, pp 389-402, 1995.
5. Grochmalicki J, Pike ER, Walker JG, Bertero M, Boccacci P, Davies RE: Superresolving masks for incoherent scanning microscopy. J of the Optical Society of America 10 (5): 1074-1077, 1993.
6. Carrington WA, Lynch RM, Moore ED, Isenberg G, Fogarty KE, Fay FS: Superresolution Three-Dimensional Images of Fluorescence in Ceils with Minimal light exposure. Science 268: 1483-1487, 1995.
7. Shaw PJ, Rawlins DJ: The point-spread function of a confocal microscope: its measurement and use in deconvolution of 3-D data. J of Microscopy 163 (2): 151-166, 1991.
8. Hanninen PE, Hell SW et al: Two photon excitation 4π confocal microscope: enhanced axial resolution microscope for biological research. Applied Physics Letters 66(13): 1698-1701, 1995.
9. Snyder DL, Miller MI: Random Point Processes in Time and Space, 2nd Edition, Springer-Verlag, New York, 1991.
10. Dempster AP, Laird NM, Rubin DB: Maximum Likelihood from Incomplete Data via the EM Algorithm. J of the Royal Statistical Society B 39: 1-37, 1977.
11. Shepp LA, Vardi Y: Maximum Likelihood Reconstruction for Emission Tomography. IEEE Trans on Medical Imaging MI-1: 113-121, 1982.
12. Vardi Y, Shepp LA, Kaufman L: A Statistical Model for Positron Emission Tomography. J Am Statistical Association 80: 8-35, 1985.
13. Richardson WH: Bayesian-based iterative method of image restoration. J of the Optical Society of America 62: 55-59, 1972.
14. Lagendijk RL: Iterative identification and restoration of images, PhD thesis, Delft University of Technology, 1990.
15. Press WH, Flannery BP, Teukolsky SA, Vetterling WT: Numerical Recipes in C, University Press, Cambirdge UK, 1988.
16. Holmes TJ, Li YH: Acceleration of maximum-likelihood image restoration for fluorescence microscopy and other noncoherent imagery. J of the Optical Society of America 8 (6), 1991.
17. Bracewell RN: Discrete Hartley Transform. J of the Optical Society of America 73: 1832-1835, 1983.
18. Van Vliet LJ: Grey-scale Measurements in multi-dimensional digitized Images, PhD Thesis, Delft University Press, Delft, The Netherlands, 1993.
19. Csiszar I: Why Least Squares and maximum entropy? An axiomatic approach to inference for linear inverse problems. The Annals of Statistics 19 (4): 2032-2066, 1991.
20. Snyder DL, Schutz TJ, O'Sullivan JA: Deblurring subject to Nonegative Constraints. IEEE Trans on Signal Processing 40, pp 1143-1150, 1992.
21. 712-096-150: Jackson Immuno Research Laboratories Inc., West Grove, Pennsylvania, USA.
22. Wansink DG et al: RNA polymerase II transcripts is concentrated outside replication domains throughout S-phase. J of Cell Sci. 107: 1449-1456, 1994.
23. Scientific Volume Imaging B.V.: J. Geradtsweg 181, 1222 PS Hilversum, The Netherlands.