Skip to main content
SpringerLink
Log in

Logical Operation of Set Intersection for Images in Optical Echo Holography

  • Published:
Journal of Applied Spectroscopy Aims and scope

We use a stimulated echo hologram to consider performing logical operations on sets represented in the form of images. We show that a stimulated echo hologram can be used to perform the logical operation of set intersection.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. L. Arestova and A. Yu. Bykovsky, Photon. Optoelectron., 2, No. 4, 169–180 (1994).

    Google Scholar 

  2. S. Lin, S. Zhang, and C. Chen, Microwave Opt. Technol. Lett., 6, 106–109 (1993).

    Article  Google Scholar 

  3. S. Zhang and C. Chen, Opt. Commun., 107, 11–16 (1994).

    Article  ADS  Google Scholar 

  4. S. Lin, S. Zhang, C. Chen, and I. Kumazawa, Opt. Commun., 97, 162–166 (1993).

    Article  ADS  Google Scholar 

  5. T. Konishi, J. Tanida, and Y. Ichioka, Appl. Opt., 34, 3097–3102 (1995).

    Article  ADS  Google Scholar 

  6. S. Zhang, M. A. Karim, X. Chen, and M. F. Alam, Microwave Opt. Technol. Lett., 16, 44–48 (1997).

    Article  Google Scholar 

  7. H. Jing, L. Liu, and F. Qian, Optic (Stuttgart), 110, 471–475 (1999).

    Google Scholar 

  8. H. J. Caulfield, IEEE Trans. Fuzzy Systems, 4, No. 2, 206–208 (1996).

    Article  Google Scholar 

  9. H. J. Caulfield, Microwave Opt. Technol. Lett., 19, 332–333 (1998).

    Article  Google Scholar 

  10. T. Jiang and Y. Li, Opt. Engin., 38, 477–484 (1999).

    Article  ADS  Google Scholar 

  11. R. Srinivasan, J. Kinser, and M. Schamschula, Opt. Lett., 21, No. 11, 815–817 (1996).

    Article  ADS  Google Scholar 

  12. J. Zhang, L. Liu, G. Li, and L. Shao, Appl. Opt., 36, No. 11, 2328–2333 (1997).

    Article  ADS  Google Scholar 

  13. H. Itoh, S. Mukai, and H. Yajima, Appl. Opt., 33, 1485–1490 (1994).

    Article  ADS  Google Scholar 

  14. H. Itoh, T. Yamada, S. Mukai, M. Watanabe, and D. Brandl, Appl. Opt., 36, 808–812 (1997).

    Article  ADS  Google Scholar 

  15. S. Zhang and M. A. Karim, Opt. Lett., 23, 292–294 (1998).

    Article  ADS  Google Scholar 

  16. S. Zhang and M. A. Karim, Opt. Laser Technol., 32, 407–412 (2000).

    Article  ADS  Google Scholar 

  17. S. Zhang and M. A. Karim, Opt. Engin., 40, No. 11, 2400–2406 (2001).

    Article  ADS  Google Scholar 

  18. E. Gur, D. Mendlovic, and Z. Zalevsky, Appl. Opt., 37, 6937–6945 (1998).

    Article  ADS  Google Scholar 

  19. Z. Zalevsky, D. Mendlovic, and E. Gur, Appl. Opt., 39, No. 2, 333–336 (2000).

    Article  ADS  Google Scholar 

  20. V. G. Bespalov, Principles of Optical Information Science [in Russian], SPbGU ITMO, St. Petersburg (2006).

  21. L. A. Rassvetalov and V. V. Samartsev, Vestn. Novgorod. Gos. Univ., No. 19 (2001).

  22. A. R. Sakhbieva, L. A. Nefed’ev, and G. I. Garnaeva, Zh. Prikl. Spektrosk., 82, No. 5, 792–795 (2015) [A. R. Sakhbieva, L. A. Nefed′ev, and G. I. Garnaeva, J. Appl. Spectrosc., 82, No. 5, 792–795 (2015) (English translation)].

  23. G. I. Garnaeva, L. A. Nefediev, and A. R. Sakhbieva, Opt. Photon. J., 1–7 (2016).

  24. E. Y. Xu, S. Kroll, D. L. Huestis, R. Kachru, and M. K. Kim, Opt. Lett., 15, No. 10, 562–564 (1990).

    Article  ADS  Google Scholar 

  25. X. A. Shen and R. Kachru, Opt. Lett., 17, No. 7, 520–522 (1992).

    Article  ADS  Google Scholar 

  26. Xiao A. Shen, An-Dien Nguyen, J. W. Perry, and D. L. Huestis, Science, No. 3, 96–100 (1997).

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Kazan (Volga Region) Federal University, 16 Kremlevskaya Str., Kazan, 420008, Russia

    A. R. Sakhbieva, L. A. Nefed’ev & G. I. Garnaeva

Authors
  1. A. R. Sakhbieva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. A. Nefed’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. I. Garnaeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. R. Sakhbieva.

Additional information

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 84, No. 3, pp. 499–503, May–June, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sakhbieva, A.R., Nefed’ev, L.A. & Garnaeva, G.I. Logical Operation of Set Intersection for Images in Optical Echo Holography. J Appl Spectrosc 84, 512–516 (2017). https://doi.org/10.1007/s10812-017-0502-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10812-017-0502-7

Keywords

Search

Navigation