Modeling phase microscopy of transparent three-dimensional objects: A product-of-convolutions approach

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

Volumn 26, Issue 5, 2009, Pages 1268-1276

  Sierra, Heidy ^a   Di Marzio, Charles A ^a   Brooks, Dana H ^a  

^a Northeastern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; ELECTRIC FIELDS; OPTICAL TRANSFER FUNCTION;

FORWARD MODELS; HETEROGENEOUS OBJECT; IMAGE PLANE; INCIDENT FIELDS; MICROSCOPY IMAGES; MOUSE EMBRYOS; OBJECT FUNCTIONS; OPTICAL AXIS; PHASE DELAY; PHASE IMAGE; POINT-SPREAD FUNCTION; RYTOV APPROXIMATION; RYTOV MODEL; THREE-DIMENSIONAL OBJECT; TRANSPARENT OBJECTS;

BIOLOGICAL MATERIALS;

ARTICLE; CHEMICAL MODEL; IMAGE PROCESSING; METHODOLOGY; PARTICLE SIZE; PHASE CONTRAST MICROSCOPY; SENSITIVITY AND SPECIFICITY;

IMAGE PROCESSING, COMPUTER-ASSISTED; MICROSCOPY, PHASE-CONTRAST; MODELS, CHEMICAL; PARTICLE SIZE; SENSITIVITY AND SPECIFICITY;

EID: 67249109982     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.001268     Document Type: Article

References (41)

1. W. Lang, "Nomarski differential interference contrast microscopy. II. formation of the interference image, " Zeiss Inform. 17, 12-16 (1969).
2. H. Ishiwata, M. Itoh, and T. Yatagai, "A new method of three-dimensional measurement by differential interference contrast microscope, " Opt. Commun. 260, 117-126 (2006).
3. P. Marquet, B. Rappaz, P. J. Magistretti, E. Cuche, Y. Emery, T. Colomb, and C. Depeursinge, "Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy, " Opt. Lett. 30, 468-470 (2005).
4. N. Lue, W. Choi, G. Popescu, T. Ikeda, R. R. Dasari, K. Badizadegan, and M. S. Feld, "Quantitative phase imaging of live cells using fast Fourier phase microscopy, " Appl. Opt. 46, 1836-1842 (2007).
5. D. O. Hogenboom, C. A. DiMarzio, T. J. Gaudette, A. J. Devaney, and S. C. Lindberg, "Three-dimensional images generated by quadrature interferometry, " Opt. Lett. 23, 783-785 (1998).
6. E. D. Barone-Nugent, A. Barty, and K. A. Nugent, "Quantitative phase-amplitude microscopy I: optical microscopy, " J. Microsc. 206, 194-203 (2002).
7. E. Cuche, F. Bevilacqua, and C. Depeursinge, "Digital holography for quantitative phase-contrast imaging, " Opt. Lett. 24, 291-293 (1999).
8. S. R. P. Pavani, A. Libertun, S. King, and C. Cogswell, "Quantitative structured-illumination phase microscopy, " Appl. Opt. 47, 15-24 (2008).
9. D. B. Murphy, Fundamentals of Light Microscopy and Electronic Imaging (Wiley-Liss, 2001).
10. W. Choi, C. Fang-Yen, K. Badizadegan, S. Oh, N. Lue, R. R. Dasari, and M. S. Feld, "Tomographic phase microscopy, " Nat. Methods 4, 717-719 (2007).
11. C. Fang-Yen, S. Oh, Y. Park, W. Choi, S. Song, H. S. Seung, R. R. Dasari, and M. S. Feld, "Imaging voltage-dependent cell motions with heterodyne Mach-Zehnder phase microscopy, " Opt. Lett. 32, 1572-1574 (2007).
12. H. Gundlach, "Phase contrast and differential interference contrast instrumentation and application in cell, developmental, and marine biology, " Opt. Eng. 32, 3223-3228 (1993).
13. C. J. R. Sheppard and M. Gu, "Modeling of 3-D brightfield microscope systems, " Proc. SPIE 2302, 352-358 (1994).
14. C. Preza, D. L. Snyder, and J. A. Conchello, "Theoretical development and experimental evaluation of imaging models for differential-interference contrast microscopy, " J. Opt. Soc. Am. A Opt. Image Sci. Vis. 16, 2185-2199 (1999).
15. C. J. Bellair, C. L. Curl, B. E. Allman, P. J. Harris, A. Roberts, L. M. D. Delbridge, and K. A. Nugent, "Quantitative phase-amplitude microscopy IV: imaging thick specimens, " J. Microsc. 214, 62-70 (2004).
16. N. Streibl, "Three-dimensional imaging by a microscope, " J. Opt. Soc. Am. A 2, 121-127 (1985).
17. I. Nemoto, "Three-dimensional imaging in microscopy as an extension of the theory of two-dimensional imaging, " J. Opt. Soc. Am. A 5, 1848-1851 (1988).
18. F. C. Lin and M. A. Fiddy, "The Born-Rytov controversy. I. Comparing analytical and approximate expressions for the one-dimensional deterministic case, " J. Opt. Soc. Am. A 9, 1102-1110 (1992).
19. B. Chen and J. J. Stamnes, "Validity of diffraction tomography based on the first Born and the first Rytov approximations, " Appl. Opt. 37, 783-785 (1998).
20. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society for Industrial and Applied Mathematics, 2001).
21. C. J. Cogswell and C. J. R. Sheppard, "Confocal differential interference contrast (DIC) microscopy: including a theoretical analysis of conventional and confocal DIC imaging, " J. Microsc. 165, 81-101 (1992).
22. F. Kagawala and T. Kanade, "Computational model of image formation process in DIC microscopy, " Proc. SPIE 3261, 193-204 (1998).
23. J. L. Hollmann, A. K. Dunn, and C. A. DiMarzio, "Computational microscopy in embryo imaging, " Opt. Lett. 29, 2267-2269 (2004).
24. D. L. Marks, "A family of approximations spanning the Born and Rytov scattering series, " Opt. Express 14, 8837-8848 (2006).
25. G. Beylkin and M. L. Oristaglio, "Distorted-wave Born and distorted-wave Rytov approximations, " Opt. Commun. 53, 213-216 (1985).
26. W. Choi, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, "Extended depth of focus in tomographic phase microscopy using a propagation algorithm, " Opt. Lett. 33, 171-173 (2008).
27. G. A. Tsihrintzis and A. J. Devaney, "Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation, " IEEE Trans. Image Process. 9, 1560-1572 (2000).
28. N. Dey, A. Boucher, and M. Thonnat, "Image formation model a 3 translucent object observed in light microscopy, " in Proceedings of 2002 Conference on Image Processing (IEEE, 2002), Vol. 2, pp. 469-472
29. F. Truchetet and O. Laligant, "Optical tomography from focus, " Opt. Express 15, 7381-7392 (2007).
30. J. Van Roey, J. van der Donk, and P. E. Lagasse, "Beampropagation method: analysis and assessment, " J. Opt. Soc. Am. 71, 803-810 (1981).
31. D. Yevick and D. J. Thomson, "Complex Padé approximants for wide-angle acoustic propagators, " J. Acoust. Soc. Am. 108, 2784-2790 (2000).
32. K. Q. Le and P. Bienstman, "Wide-angle beam propagation method without using slowly varying envelope approximation, " J. Opt. Soc. Am. B 26, 353-356 (2009).
33. S. F. Gibson and F. Lanni, "Diffraction by a circular aperture as a model for three-dimensional optical microscopy, " J. Opt. Soc. Am. A 6, 1357-1367 (1989).
34. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 2001).
35. J. W. Goodman, Introduction to Fourier Optics (McGraw- Hill, 1999).
36. H. Sierra, C. A. DiMarzio, and D. H. Brooks, "Modeling images of phase information for three-dimensional objects, " Proc. SPIE 6861, 68610A.1-68610A.9 (2008).
37. F. Charrière, N. Pavillon, T. Colomb, C. Depeursinge, T. J. Heger, E. A. D. Mitchell, P. Marquet, and B. Rappaz, "Living specimen tomography by digital holographic microscopy: morphometry of testate amoeba, " Opt. Express 14, 7005-7013 (2006).
38. F. A. Jenkins and H. White, Fundamentals of Optics (McGraw-Hill, 1976).
39. W. C. Warger II, G. S. Laevsky, D. J. Townsend, M. Rajadhyaksha, and C. A. DiMarzio, "Multimodal optical microscope for detecting viability of mouse embryos in vitro, " J. Biomed. Opt. 12, 044006 (2007).
40. D. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).
41. R. Drezek, A. Dunn, and R. Richards-Kortum, "Light scattering from cells: finite-difference time-domain simulations and goniometric measurements, " Appl. Opt. 38, 3651-3661 (1999).