Abstract

This paper discusses the features of signal formation in optical-coherence-tomography systems and recursion algorithms for dynamic processing of low-coherence interferometric signals. Estimates are given of the accuracy and speed of algorithms for extended Kalman filtering and nonlinear Markov filtering as applied to signal analysis in wide-field optical coherence tomography.

© 2012 OSA

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  1. I. P. Gurov, “Optical coherence tomography: principles, problems, and prospects,” in Problems of Coherent and Nonlinear Optics, I. P. Gurov and S. A. Kozlov, eds. (SPbGU ITMO, St. Petersburg, 2004), pp. 6–30.
  2. P. H. Tomlins and R. K. Wang, “Theory, developments and applications of optical coherence tomography,” J. Phys. D: Appl. Phys. 38, 2519 (2005).
    [CrossRef]
  3. W. Drexler and J. G. Fujimoto, eds., Optical Coherence Tomography. Technology and Applications (Springer-Verlag, Berlin, 2008).
  4. V. N. Vasil’ev and I. P. Gurov, “Comparative analysis of the methods of optical coherence tomography,” Izv. Vyssh. Uchebn. Zaved. Prib. 50, No. 7, 30 (2007).
  5. A. Dubois, K. Grieve, G. Moneron, R. Lecaque, L. Vabre, and C. Boccara, “Ultrahigh-resolution full-field optical coherence tomography,” Appl. Opt. 43, 2874 (2004).
    [CrossRef] [PubMed]
  6. W. Y. Oh, B. E. Bouma, N. Iftimia, S. H. Yun, R. Yelin, and G. J. Tearney, “Ultrahigh-resolution full-field optical coherence microscopy using InGaAs camera,” Opt. Express 14, 726 (2006).
    [CrossRef] [PubMed]
  7. I. Gurov and M. Volynsky, “Interference-fringe analysis based on recursion computational algorithms,” Opt. Lasers Eng. 50, 514 (2012).
    [CrossRef]
  8. V. S. Pugachev and I. N. Sinitsyn, Stochastic Differential Systems. Analysis and Filtering (Nauka, Moscow, 1990).
  9. I. Gurov, E. Ermolaeva, and A. Zakharov, “Analysis of low-coherence interference fringes by the Kalman filtering method,” J. Opt. Soc. Am. A 21, 242 (2004).
    [CrossRef]
  10. I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).
  11. I. P. Gurov and A. S. Zakharov, “Analysis of characteristics of interference fringes by nonlinear Kalman filtering,” Opt. Spektrosk. 96, 210 (2004). [Opt. Spectrosc. 96, 175 (2004)].
    [CrossRef]
  12. I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
    [CrossRef]
  13. J. L. Doob, Stochastic Processes (Wiley, New York, 1953; Izd. Inostr. Lit., Moscow, 1956).
  14. M. S. Yarlykov and M. A. Mironov, Markov Theory of the Estimation of Random Processes (Radio i Svyaz’, Moscow, 1993).
  15. I. Gurov and D. Sheynihovich, “Interferometric data analysis based on Markov non-linear filtering methodology,” J. Opt. Soc. Am. A 17, 21 (2000).
    [CrossRef]

2012

I. Gurov and M. Volynsky, “Interference-fringe analysis based on recursion computational algorithms,” Opt. Lasers Eng. 50, 514 (2012).
[CrossRef]

2010

I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
[CrossRef]

2007

I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).

V. N. Vasil’ev and I. P. Gurov, “Comparative analysis of the methods of optical coherence tomography,” Izv. Vyssh. Uchebn. Zaved. Prib. 50, No. 7, 30 (2007).

2006

2005

P. H. Tomlins and R. K. Wang, “Theory, developments and applications of optical coherence tomography,” J. Phys. D: Appl. Phys. 38, 2519 (2005).
[CrossRef]

2004

2000

Boccara, C.

Bouma, B. E.

Doob, J. L.

J. L. Doob, Stochastic Processes (Wiley, New York, 1953; Izd. Inostr. Lit., Moscow, 1956).

Dubois, A.

Ermolaeva, E.

Grieve, K.

Gurov, I.

I. Gurov and M. Volynsky, “Interference-fringe analysis based on recursion computational algorithms,” Opt. Lasers Eng. 50, 514 (2012).
[CrossRef]

I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
[CrossRef]

I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).

I. Gurov, E. Ermolaeva, and A. Zakharov, “Analysis of low-coherence interference fringes by the Kalman filtering method,” J. Opt. Soc. Am. A 21, 242 (2004).
[CrossRef]

I. Gurov and D. Sheynihovich, “Interferometric data analysis based on Markov non-linear filtering methodology,” J. Opt. Soc. Am. A 17, 21 (2000).
[CrossRef]

Gurov, I. P.

V. N. Vasil’ev and I. P. Gurov, “Comparative analysis of the methods of optical coherence tomography,” Izv. Vyssh. Uchebn. Zaved. Prib. 50, No. 7, 30 (2007).

I. P. Gurov and A. S. Zakharov, “Analysis of characteristics of interference fringes by nonlinear Kalman filtering,” Opt. Spektrosk. 96, 210 (2004). [Opt. Spectrosc. 96, 175 (2004)].
[CrossRef]

I. P. Gurov, “Optical coherence tomography: principles, problems, and prospects,” in Problems of Coherent and Nonlinear Optics, I. P. Gurov and S. A. Kozlov, eds. (SPbGU ITMO, St. Petersburg, 2004), pp. 6–30.

Iftimia, N.

Lecaque, R.

Mironov, M. A.

M. S. Yarlykov and M. A. Mironov, Markov Theory of the Estimation of Random Processes (Radio i Svyaz’, Moscow, 1993).

Moneron, G.

Oh, W. Y.

Pugachev, V. S.

V. S. Pugachev and I. N. Sinitsyn, Stochastic Differential Systems. Analysis and Filtering (Nauka, Moscow, 1990).

Sheynihovich, D.

Sinitsyn, I. N.

V. S. Pugachev and I. N. Sinitsyn, Stochastic Differential Systems. Analysis and Filtering (Nauka, Moscow, 1990).

Tearney, G. J.

Tomlins, P. H.

P. H. Tomlins and R. K. Wang, “Theory, developments and applications of optical coherence tomography,” J. Phys. D: Appl. Phys. 38, 2519 (2005).
[CrossRef]

Vabre, L.

Vasil’ev, V. N.

V. N. Vasil’ev and I. P. Gurov, “Comparative analysis of the methods of optical coherence tomography,” Izv. Vyssh. Uchebn. Zaved. Prib. 50, No. 7, 30 (2007).

Volynsky, M.

I. Gurov and M. Volynsky, “Interference-fringe analysis based on recursion computational algorithms,” Opt. Lasers Eng. 50, 514 (2012).
[CrossRef]

I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
[CrossRef]

I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).

Vorobeva, E.

I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
[CrossRef]

Wang, R. K.

P. H. Tomlins and R. K. Wang, “Theory, developments and applications of optical coherence tomography,” J. Phys. D: Appl. Phys. 38, 2519 (2005).
[CrossRef]

Yarlykov, M. S.

M. S. Yarlykov and M. A. Mironov, Markov Theory of the Estimation of Random Processes (Radio i Svyaz’, Moscow, 1993).

Yelin, R.

Yun, S. H.

Zakharov, A.

I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).

I. Gurov, E. Ermolaeva, and A. Zakharov, “Analysis of low-coherence interference fringes by the Kalman filtering method,” J. Opt. Soc. Am. A 21, 242 (2004).
[CrossRef]

Zakharov, A. S.

I. P. Gurov and A. S. Zakharov, “Analysis of characteristics of interference fringes by nonlinear Kalman filtering,” Opt. Spektrosk. 96, 210 (2004). [Opt. Spectrosc. 96, 175 (2004)].
[CrossRef]

AIP Conf. Proc.

I. Gurov, M. Volynsky, and E. Vorobeva, “Dynamic wavefront evaluation in phase shifting interferometry based on recurrence fringe processing,” AIP Conf. Proc. 1236, 479 (2010).
[CrossRef]

Appl. Opt.

Izv. Vyssh. Uchebn. Zaved. Prib.

V. N. Vasil’ev and I. P. Gurov, “Comparative analysis of the methods of optical coherence tomography,” Izv. Vyssh. Uchebn. Zaved. Prib. 50, No. 7, 30 (2007).

J. Opt. Soc. Am. A

J. Phys. D: Appl. Phys.

P. H. Tomlins and R. K. Wang, “Theory, developments and applications of optical coherence tomography,” J. Phys. D: Appl. Phys. 38, 2519 (2005).
[CrossRef]

Opt. Express

Opt. Lasers Eng.

I. Gurov and M. Volynsky, “Interference-fringe analysis based on recursion computational algorithms,” Opt. Lasers Eng. 50, 514 (2012).
[CrossRef]

Opt. Spektrosk.

I. P. Gurov and A. S. Zakharov, “Analysis of characteristics of interference fringes by nonlinear Kalman filtering,” Opt. Spektrosk. 96, 210 (2004). [Opt. Spectrosc. 96, 175 (2004)].
[CrossRef]

Proc. SPIE

I. Gurov, M. Volynsky, and A. Zakharov, “Evaluation of multilayer tissues in optical coherence tomography by the extended-Kalman-filtering method,” Proc. SPIE 6734, 6734 (2007).

Other

J. L. Doob, Stochastic Processes (Wiley, New York, 1953; Izd. Inostr. Lit., Moscow, 1956).

M. S. Yarlykov and M. A. Mironov, Markov Theory of the Estimation of Random Processes (Radio i Svyaz’, Moscow, 1993).

V. S. Pugachev and I. N. Sinitsyn, Stochastic Differential Systems. Analysis and Filtering (Nauka, Moscow, 1990).

W. Drexler and J. G. Fujimoto, eds., Optical Coherence Tomography. Technology and Applications (Springer-Verlag, Berlin, 2008).

I. P. Gurov, “Optical coherence tomography: principles, problems, and prospects,” in Problems of Coherent and Nonlinear Optics, I. P. Gurov and S. A. Kozlov, eds. (SPbGU ITMO, St. Petersburg, 2004), pp. 6–30.

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