Coherent use of opposing lenses for axial resolution increase. Ii. power and limitation of nonlinear image restoration

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 18, Issue 1, 2001, Pages 49-54

  Nagorni, Matthias ^a   Hell, Stefan W ^a  

^a MAX PLANCK INSTITUTE FOR BIOPHYSICAL CHEMISTRY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; IMAGE RECONSTRUCTION; LIGHT INTERFERENCE; LIGHTING; MICROSCOPES; NONLINEAR OPTICS; OPTICAL RESOLVING POWER; OPTICAL TRANSFER FUNCTION; PHOTONS;

CONFOCAL MICROSCOPES;

OPTICAL INSTRUMENT LENSES;

EID: 0002977820     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.000049     Document Type: Article

References (19)

1. F. Lanni, Applications of Fluorescence in the Biomedical Sciences, 1st ed. (Liss, New York, 1986).
2. B. Bailey, D. L. Farkas, D. L. Taylor, and F. Lanni, “En-hancement of axial resolution in fluorescence microscopy by standing-wave excitation,” Nature (London) 366, 44-48 (1993).
3. S. W. Hell, “Double-scanning microscope,” European patent 0491289 (December 18, 1990).
4. S. Hell and E. H. K. Stelzer, “Properties of a 4Pi-confocal fluorescence microscope,” J. Opt. Soc. Am. A 9, 2159-2166 (1992).
5. M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, “Sevenfold improvement of axial resolution in 3D widefield microscopy using two objective lenses,” in Three-Dimensional Microscopy: Image Acquisition and Processing II, T. Wilson, and C. J. Cogswell, eds., Proc. SPIE 2412, 147-156 (1995).
6. M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, “I5M: 3D widefield light microscopy with better than 100 nm axial resolution,” J. Microsc. (Oxford) 195, 10-16 (1999).
7. M. Nagorni and S. W. Hell, “Coherent use of opposing lenses for axial resolution increase in fluorescence microscopy. I. Comparative study of concepts,” J. Opt. Soc. Am. A 18, 36-48 (2001).
8. V. Krishnamurthi, B. Bailey, and F. Lanni, “Image processing in 3-D standing wave fluorescence microscopy,” in Three-Dimensional Microscopy: Image Acquisition and Processing III, C. J. Cogswell, G. S. Kino, and T. Wilson, eds., Proc. SPIE 2655, 18-25 (1996).
9. M. Gu and C. J. R. Sheppard, “Three-dimensional transfer functions in 4Pi confocal microscopes,” J. Opt. Soc. Am. A 11, 1619-1627 (1994).
10. B. R. Frieden, “Restoring with maximum likelihood and maximum entropy,” J. Opt. Soc. Am. 62, 511-518 (1972).
11. W. H. Richardson, “Bayesian-based iterative method of image restoration,” J. Opt. Soc. Am. 62, 55-59 (1972).
12. L. B. Lucy, “An iterative technique for the rectification of observed distributions,” Astron. J. 79, 745-754 (1974).
13. T. J. Holmes, “Maximum-likelihood image restoration adapted for non-coherent optical imaging,” J. Opt. Soc. Am. A 5, 666-673 (1988).
14. T. J. Holmes, “Expectation-maximization restoration of band-limited, truncated point-process intensities with ap-plication in microscopy,” J. Opt. Soc. Am. A 6, 1006-1014 (1989).
15. D. L. Snyder, T. J. Schutz, and J. A. O’Sullivan, “Deblur- ring subject to nonnegative constraints,” IEEE Trans. Signal Process. 40, 1143-1150 (1992).
16. G. M. P. Van Kempen, L. J. Van Vliet, P. J. Verveer, and H. T. M. van der Voort, “A quantitative comparison of image restoration methods for confocal microscopy,” J. Microsc. (Oxford) 185, 354-365 (1997).
17. J.-A. Conchello and J. G. McNally, “Fast regularization technique for expectation maximization algorithm for optical sectioning microscopy,” in Three-Dimensional Microscopy: Image Acquisition and Processing III, C. J. Cogswell, G. S. Kino, and T. Wilson, eds., Proc. SPIE 2655, 199-208 (1996).
18. I. Csiszar, “Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems,” Ann. Stat. 19, 2032-2066 (1991).
19. M. Schrader, K. Bahlmann, G. Giese, and S. W. Hell, “4Pi- confocal imaging in fixed biological specimens,” Biophys. J. 75, 1659-1668 (1998).