Best linear unbiased axial localization in three-dimensional fluorescent bead tracking with subnanometer resolution using off-focus images

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

Volumn 26, Issue 6, 2009, Pages 1484-1493

  Zhang, Zhipeng ^a   Menq, Chia Hsiang ^a  

^a The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ESTIMATION; FLUORESCENCE; PARTICLE BEAM TRACKING; PHASE MATCHING; PHOTOBLEACHING; VECTORS;

2D IMAGES; AXIAL LOCALIZATION; AXIAL POSITIONS; BEST LINEAR UNBIASED ESTIMATION; BRIGHTFIELD; CALIBRATION DATA; ESTIMATION VARIANCE; FLUORESCENT PARTICLE; IMAGE INTENSITIES; IMPROVED ALGORITHM; INTENSITY VARIATIONS; INTENSITY-BASED METHODS; LINEARIZED MODELS; MEASUREMENT METHODS; MEASUREMENT PRECISION; MEASUREMENT RANGE; MEASUREMENT RESOLUTION; NOISE VARIANCE; ORIGINAL ALGORITHMS; PARTICLE TRACKING TECHNIQUES; RADIUS-VECTORS; SHAPE BASED; SUBNANOMETER RESOLUTION;

THREE DIMENSIONAL;

EID: 67650754201     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.001484     Document Type: Article

References (25)

1. R. Luo, X. Y. Yang, X. F. Peng, and Y. F. Sun, "Threedimensional tracking of fluorescent particles applied to micro-fluidic measurements," J. Micromech. Microeng. 16, 1689-1699 (2006).
2. S. Devasenathipathy, J. G. Santiago, S. T. Wereley, C. D. Meinhart, and K. Takehara, "Particle imaging techniques for microfabricated fluidic systems," Exp. Fluids 34, 504-514 (2003).
3. A. D. Dinsmore, E. R. Weeks, V. Prasad, A. C. Levitt, and D. A. Weitz, "Three-dimensional confocal microscopy of colloids," Appl. Opt. 40, 4152-4159 (2001).
4. R. Thar, N. Blackburn, and M. Kuhl, "A new system for three-dimensional tracking of motile microorganisms," Appl. Environ. Microbiol. 66, 2238-2242 (2000).
5. M. Wu, J. W. Roberts, and M. Buckley, "Three-dimensional fluorescent particle tracking at micro-scale using a single camera," Exp. Fluids 38, 461-465 (2005).
6. G. V. Soni, B. M. Jaffar Ali, Y. Hatwalne, and G. V. Shivashankar, "Single particle tracking of correlated bacterial dynamics," Biophys. J. 84, 2634-2637 (2003).
7. A. Rohrbach, C. Tischer, D. Neumayer, E.-L. Florin, and E. H. K. Stelzer, "Trapping and tracking a local probe with a photonic force microscope," Rev. Sci. Instrum. 75, 2197-2210 (2004).
8. T. Cizmar and P. Zemanek, "Optical tracking of spherical micro-objects in spatially periodic interference fields," Opt. Express 15, 2262-2272 (2007).
9. F. Aguet, D. Van De Ville and M. Unser, "A maximumlikelihood formalism for sub-resolution axial localization of fluorescent nanoparticles," Opt. Express 13, 10503-10522 (2005).
10. V. Levi, Q. Ruan, and E. Gratton, "3-D particle tracking in a two-photon microscope: Application to the study of molecular dynamics in cells," Biophys. J. 88, 2919-2928 (2005).
11. H. Bornfleth, P. Edelmann, D. Zink, T. Cremer, and C. Cremer, "Quantitative motion analysis of subchromosomal foci in living cells using four-dimensional microscopy," Biophys. J. 77, 2871-2886 (1999).
12. D. Li, J. Xiong, A. Qu, and T. Xu, "Three-dimensional tracking of single secretory granules in live pc12 cells," Biophys. J. 87, 1991-2001 (2004).
13. D. Thomann, D. R. Rines, P. K. Sorger, and G. Danuster, "Automatic fluorescent tag detection in 3D with superresolution application to the analysis of chromosome movement," J. Microsc. 208, 49-64 (2002).
14. K. D. Kihm, A. Banerjee, C. K. Choi, and T. Takagi, "Near-wall hindered Brownian diffusion of nanoparticles examined by three-dimensional ratiometric total internal reflection fluorescence microscopy (3-D R-TIRFM)," Exp. Fluids 37, 811-824 (2004).
15. M. Speidel, A. Jonas, and E.-L. Florin, "Three-dimensional tracking of fluorescent nanoparticles with subnanometer precision by use of off-focus imaging," Opt. Lett. 28, 69-71 (2003).
16. H. P. Kao and A. S. Verkman, "Tracking of single fluorescent particles in three dimensions: use of cylindrical optics to encode particle position," Biophys. J. 67, 1291-1300 (1994).
17. T. Ragan, H. Huang, P. So, and E. Gratton, "3D particle tracking on a two-photon microscope," J. Fluoresc. 16, 325-336 (2006).
18. Z. Zhang and C.-H. Menq, "Three-dimensional particle tracking with subnanometer resolution using off-focus images," Appl. Opt. 47, 2361-2370 (2008).
19. X. F. Wang and B. Herman, Fluorescence Imaging Spectroscopy and Microscopy (Wiley, 1996).
20. J. Arines and J. Ares, "Minimum variance centroid thresholding," Opt. Lett. 27, 497-499 (2002).
21. A. Bjorck, Numerical Methods for Least Squares Problems(SIAM, 1996).
22. S. R. Buss and J. P. Fillmore, "Spherical averages and applications to spherical splines and interpolation," ACM Trans. Graphics 20, s95-126 (2001).
23. J. M. Mendel, Lessons in Estimation Theory for Signal Processing, Communications, and Control (Prentice Hall PTR, 1995).
24. M. S. Bartlett, "The square root transformation in analysis of variance," J. R. Stat. Soc. Suppl., 3, 68-78 (1936).
25. T. Kariya and H. Kurata, Generalized Least Squares (Wiley, 2004).