Abstract

This paper discusses how spatial-frequency filtering in the 4f scheme of Fourier holography, determined by limiting the dynamic range of the recording medium, affects the homogeneity of the processed image with respect to the first two statistical moments. When numerical modelling is carried out, models of the filters are used that are adequate to the actual characteristics of Fourier holograms. Dependences are obtained that connect the estimates of the homogeneity from the mean and variance with the characteristics of the image and the filter.

© 2011 OSA

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. D. Wentzel, A Course in the Theory of Stochastic Processes (McGraw-Hill, New York, 1981; Nauka, Moscow, 1975).
  2. M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
    [CrossRef]
  3. S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
    [CrossRef]
  4. G. R. Grimmet and D. R. Sterzaker, Probability and Random Processes (Clarendon Press, Oxford, 1992).
  5. J. L. Doob, Stochastic Processes (Wiley, New York, 1953; Izd. Inostr. Lit., Moscow, 1956).
  6. A. V. Pavlov, “Implementing a linear predictor model by Fourier holography,” Opt. Zh. 72, No. 2, 43 (2005). [J. Opt. Technol. 72, 199 (2005)].
  7. A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].
  8. S. A. Aleksandrina and A. M. Kuleshov, “The influence of the rejection of low spatial frequencies of a spectrum on the signal parameters in a holographic correlator,” Opt. Spektrosk. 68, 652 (1990). [Opt. Spectrosc. 68, 381 (1990)].
  9. A. M. Alekseev and A. V. Pavlov, “Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation,” Opt. Spektrosk. 108, 142 (2010). [Opt. Spectrosc. 108, 137 (2010)].
    [CrossRef]
  10. S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).
  11. G. A. Sergeev and D. A. Yanutsh, Statistical Methods of Studying Natural Objects (Gidrometeoizdat, Leningrad, 1973).
  12. Yu. S. Tolchel’nikov, Optical Properties of the Landscape (Nauka, Leningrad, 1974).
  13. Z. S. Bekyasheva and A. V. Pavlov, “The effect of high-frequency filtering on the characteristics of a random process as applied to the implementation of the linear-predictor model by the method of Fourier holography,” Opt. Zh. 77, No. 2, 44 (2010). [J. Opt. Technol. 77, 113 (2010)].
  14. A. V. Pavlov, “On the possibility of using Fourier holography in the problem of modeling creative thought: Requirements on the transfer characteristics of reversible holographic media,” Opt. Zh. 75, No. 10, 42 (2008). [J. Opt. Technol. 75, 643 (2008)].

2010

A. M. Alekseev and A. V. Pavlov, “Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation,” Opt. Spektrosk. 108, 142 (2010). [Opt. Spectrosc. 108, 137 (2010)].
[CrossRef]

Z. S. Bekyasheva and A. V. Pavlov, “The effect of high-frequency filtering on the characteristics of a random process as applied to the implementation of the linear-predictor model by the method of Fourier holography,” Opt. Zh. 77, No. 2, 44 (2010). [J. Opt. Technol. 77, 113 (2010)].

2008

A. V. Pavlov, “On the possibility of using Fourier holography in the problem of modeling creative thought: Requirements on the transfer characteristics of reversible holographic media,” Opt. Zh. 75, No. 10, 42 (2008). [J. Opt. Technol. 75, 643 (2008)].

2005

A. V. Pavlov, “Implementing a linear predictor model by Fourier holography,” Opt. Zh. 72, No. 2, 43 (2005). [J. Opt. Technol. 72, 199 (2005)].

2003

S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
[CrossRef]

2000

M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
[CrossRef]

1990

S. A. Aleksandrina and A. M. Kuleshov, “The influence of the rejection of low spatial frequencies of a spectrum on the signal parameters in a holographic correlator,” Opt. Spektrosk. 68, 652 (1990). [Opt. Spectrosc. 68, 381 (1990)].

1986

A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].

Abry, P.

M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
[CrossRef]

Aleksandrina, S. A.

S. A. Aleksandrina and A. M. Kuleshov, “The influence of the rejection of low spatial frequencies of a spectrum on the signal parameters in a holographic correlator,” Opt. Spektrosk. 68, 652 (1990). [Opt. Spectrosc. 68, 381 (1990)].

Alekseev, A. M.

A. M. Alekseev and A. V. Pavlov, “Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation,” Opt. Spektrosk. 108, 142 (2010). [Opt. Spectrosc. 108, 137 (2010)].
[CrossRef]

Bekyasheva, Z. S.

Z. S. Bekyasheva and A. V. Pavlov, “The effect of high-frequency filtering on the characteristics of a random process as applied to the implementation of the linear-predictor model by the method of Fourier holography,” Opt. Zh. 77, No. 2, 44 (2010). [J. Opt. Technol. 77, 113 (2010)].

Chernykh, D. F.

S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).

Doob, J. L.

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

Grimmet, G. R.

G. R. Grimmet and D. R. Sterzaker, Probability and Random Processes (Clarendon Press, Oxford, 1992).

Gurevich, S. B.

S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).

Kim, M. C.

S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
[CrossRef]

Konstantinov, V. B.

S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).

Kuleshov, A. M.

S. A. Aleksandrina and A. M. Kuleshov, “The influence of the rejection of low spatial frequencies of a spectrum on the signal parameters in a holographic correlator,” Opt. Spektrosk. 68, 652 (1990). [Opt. Spectrosc. 68, 381 (1990)].

A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].

Kwak, K. S.

S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
[CrossRef]

Pavlov, A. V.

A. M. Alekseev and A. V. Pavlov, “Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation,” Opt. Spektrosk. 108, 142 (2010). [Opt. Spectrosc. 108, 137 (2010)].
[CrossRef]

Z. S. Bekyasheva and A. V. Pavlov, “The effect of high-frequency filtering on the characteristics of a random process as applied to the implementation of the linear-predictor model by the method of Fourier holography,” Opt. Zh. 77, No. 2, 44 (2010). [J. Opt. Technol. 77, 113 (2010)].

A. V. Pavlov, “On the possibility of using Fourier holography in the problem of modeling creative thought: Requirements on the transfer characteristics of reversible holographic media,” Opt. Zh. 75, No. 10, 42 (2008). [J. Opt. Technol. 75, 643 (2008)].

A. V. Pavlov, “Implementing a linear predictor model by Fourier holography,” Opt. Zh. 72, No. 2, 43 (2005). [J. Opt. Technol. 72, 199 (2005)].

Roughan, M.

M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
[CrossRef]

Sergeev, G. A.

G. A. Sergeev and D. A. Yanutsh, Statistical Methods of Studying Natural Objects (Gidrometeoizdat, Leningrad, 1973).

Shubnikov, E. I.

A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].

Smaeva, S. A.

A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].

Sokolov, V. K.

S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).

Sterzaker, D. R.

G. R. Grimmet and D. R. Sterzaker, Probability and Random Processes (Clarendon Press, Oxford, 1992).

Tolchel’nikov, Yu. S.

Yu. S. Tolchel’nikov, Optical Properties of the Landscape (Nauka, Leningrad, 1974).

Veitch, D.

M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
[CrossRef]

Wentzel, A. D.

A. D. Wentzel, A Course in the Theory of Stochastic Processes (McGraw-Hill, New York, 1981; Nauka, Moscow, 1975).

Yanutsh, D. A.

G. A. Sergeev and D. A. Yanutsh, Statistical Methods of Studying Natural Objects (Gidrometeoizdat, Leningrad, 1973).

Yoo, S. J.

S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
[CrossRef]

Comput. Commun.

S. J. Yoo, K. S. Kwak, and M. C. Kim, “Predictive and measurement-based dynamic resource management and QoS control for videos,” Comput. Commun. 26, 1651 (2003).
[CrossRef]

IEEE/ACM Trans. Netw.

M. Roughan, D. Veitch, and P. Abry, “Real-time estimation of the parameters of long-range dependance,” IEEE/ACM Trans. Netw. 8, 467 (2000).
[CrossRef]

Opt. Spektrosk.

A. M. Kuleshov, E. I. Shubnikov, and S. A. Smaeva, “On the optimality of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986). [Opt. Spectrosc. 60, 791 (1986)].

S. A. Aleksandrina and A. M. Kuleshov, “The influence of the rejection of low spatial frequencies of a spectrum on the signal parameters in a holographic correlator,” Opt. Spektrosk. 68, 652 (1990). [Opt. Spectrosc. 68, 381 (1990)].

A. M. Alekseev and A. V. Pavlov, “Approximation of transfer function of the 4f scheme of Fourier holography upon fuzzy-valued logics implementation,” Opt. Spektrosk. 108, 142 (2010). [Opt. Spectrosc. 108, 137 (2010)].
[CrossRef]

Opt. Zh.

Z. S. Bekyasheva and A. V. Pavlov, “The effect of high-frequency filtering on the characteristics of a random process as applied to the implementation of the linear-predictor model by the method of Fourier holography,” Opt. Zh. 77, No. 2, 44 (2010). [J. Opt. Technol. 77, 113 (2010)].

A. V. Pavlov, “On the possibility of using Fourier holography in the problem of modeling creative thought: Requirements on the transfer characteristics of reversible holographic media,” Opt. Zh. 75, No. 10, 42 (2008). [J. Opt. Technol. 75, 643 (2008)].

A. V. Pavlov, “Implementing a linear predictor model by Fourier holography,” Opt. Zh. 72, No. 2, 43 (2005). [J. Opt. Technol. 72, 199 (2005)].

Other

S. B. Gurevich, V. B. Konstantinov, V. K. Sokolov, and D. F. Chernykh, Information Transfer and Processing by Holographic Methods (Sov. Radio, Moscow, 1978).

G. A. Sergeev and D. A. Yanutsh, Statistical Methods of Studying Natural Objects (Gidrometeoizdat, Leningrad, 1973).

Yu. S. Tolchel’nikov, Optical Properties of the Landscape (Nauka, Leningrad, 1974).

A. D. Wentzel, A Course in the Theory of Stochastic Processes (McGraw-Hill, New York, 1981; Nauka, Moscow, 1975).

G. R. Grimmet and D. R. Sterzaker, Probability and Random Processes (Clarendon Press, Oxford, 1992).

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

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.