Richardson-Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution

Microscopy Research and Technique

Volumn 69, Issue 4, 2006, Pages 260-266

  Dey, Nicolas ^a   Blanc Feraud, Laure ^a,c   Zimmer, Christophe ^b   Roux, Pascal ^b   Kam, Zvi ^c   Olivo Marin, Jean Christophe ^b   Zerubia, Josiane ^a  

^a INRIA   (France)

^b INSTITUT PASTEUR   (France)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Fluorescence confocal microscopy; Image deconvolution; Poisson noise; Total variation regularization

Indexed keywords

CONFOCAL MICROSCOPY; EDGE DETECTION; IMAGE ENHANCEMENT; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION;

CONFOCAL MICROSCOPES; CONFOCAL-LASER-SCANNING-MICROSCOPY; CONSTRAINT-BASED; DECONVOLUTIONS; FLUORESCENCE CONFOCAL MICROSCOPY; IMAGE DECONVOLUTION; POISSON NOISE; REGULARISATION; RICHARDSON-LUCY ALGORITHMS; TOTAL VARIATION REGULARIZATION;

DECONVOLUTION;

ALGORITHM; ARTICLE; CONFOCAL LASER MICROSCOPY; FLUORESCENCE MICROSCOPY; IMAGE ANALYSIS; IMAGE DECONVOLUTION; IMAGE DISPLAY; IMAGE PROCESSING; MATHEMATICAL ANALYSIS; MAXIMUM LIKELIHOOD METHOD; NOISE; OSCILLATION; PHOTON; POISSON DISTRIBUTION; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; RICHARDSON LUCY ALGORITHM; SIMULATION; THREE DIMENSIONAL IMAGING;

EID: 33645901226     PISSN: 1059910X     EISSN: 10970029     Source Type: Journal    
DOI: 10.1002/jemt.20294     Document Type: Article

References (19)

1. Agard D, Sedat J. 1983. Three-dimensional architecture of a polytene nucleus. Nature 302:676-681.
2. Ambrosio L, Fusco N, Pallara D. 2000. Functions of bounded variation and free discontinuity problems. Oxford: Oxford University Press.
3. Born M, Wolf E. 1999. Principles of optics, 7th ed. Cambridge, UK: Cambridge University Press.
4. Csizáér I. 1991. Why least squares and maximum entropy? The Ann Stat 19:2032-2066.
5. Dempster A, Laird N, Rubin D. 1977. Maximum Likelihood from incomplete data via the EM algorithm. J Roy Stat Soc B 39:1-38.
6. Dey N, Blanc-Féraud L, Zimmer C, Roux P, Kam Z, Olivo-Marin JC, Zerubia J. 2004a. 3D microscopy deconvolution using Richardson-Lucy algorithm with total variation regularization. INRIA Technical Report 5272.
7. Dey N, Blanc-Féraud L, Zimmer C, Kam Z, Olivo-Marin JC, Zerubia J. 2004b. A deconvolution method for confocal microscopy with total variation regularization. In: Proceedings of IEEE International Symposium on Biomedical Imaging (ISBI), April 2004.
8. Goodman JW. 1996. Introduction to Fourier optics, 2nd ed. New York: McGraw-Hill.
9. Green P. 1990. On use of the EM algorithm for penalized likelihood estimation. J Roy Stat Soc B 52:443-452.
10. van Kempen G, van Vliet L. 1999. The influence of the background estimation on the superresolution properties of nonlinear image restoration algorithms. In: Cabib D, Cogswell CJ, Conchello J-A, Lerner JM, Wilson T, editors. Three-dimensional and multidimensional microscopy: image acquisition and processing IV, Proceedings of the SPIE Conference, vol. 3605; pp. 179-189.
11. van Kempen G, van Vliet L. 2000a. Background estimation in nonlinear image restoration. J Opt Soc Am A 17:425-433.
12. van Kempen G, van Vliet L. 2000b. The influence of the regularization parameter and the first estimate on the performance of Tikhonov regularized nonlinear image restoration algorithms. J Microsc 198:63-75.
13. van Kempen G, van Vliet L, Verveer P, van der Voort H. 1997. A quantitative comparison of image restoration methods for confocal microscopy. J Microsc 185:354-365.
14. Lucy L. 1974. An iterative technique for rectification of observed distributions. Astron J 79:745-765.
15. de Monvel JB, Scarfone E, Calvez SL, Ulfendahl M. 2003. Image-adaptive deconvolution for three-dimensional deep biological imaging. Biophys J 85:3991-4001.
16. Richardson WH. 1972. Bayeslan-based iterative method of image restoration. J Opt Soc Am 62:55-59.
17. Rudin LI, Osher S, Fatemi E. 1992. Nonlinear total variation noise removal algorithm. Physica D 60:259-266.
18. Sheppard C, Cogswell C. 1990. Three-dimensional image formation in confocal microscopy. J Microsc 159:179-194.
19. Stokseth P. 1969. Properties of a defocused optical system. J Opt Soc Am 59:1314-1321.