Skip to main content
Log in

Deconvolution of background-subtracted shift-and-add image by a modeled point-spread-function

  • Regular Papers
  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

Shift-and-add (SAA) is a simple method for celestial speckle imaging. However, the raw SAA-image, a direct output of the SAA operations, is not useful, because a seeing-dependent huge background is superimposed on the high-resolution image of the object. To obtain the latter, a background subtraction (BGS) is applied on the raw SAA-image. The BGS-image so obtained includes negativities due to an over-subtraction that causes brightnesses of the object’s image biased downward. The negativity in the BGS-image can be removed by a deconvolution with a point-spread-function (PSF) that has negative values. In this paper, we model the PSF with a shape that possesses peak and concave portions, and perform a deconvolution by iteratively estimating the object’s image and the model parameters. The simulated experiment has shown that the present algorithm can restore the object’s image with unbiased brightnesses. Processing the observed speckle data of Io (a Jupiter satellite) by the present method has yielded a feasible Io image with reduced negativities.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. H. T. Bates and F. M. Cady: Opt. Commun. 32 (1980) 365.

    Article  ADS  Google Scholar 

  2. R. H. T. Bates: Phys. Rep. 90 (1982) 203.

    Article  ADS  Google Scholar 

  3. N. Baba, S. Kuwamura, N. Miura, and Y. Norimoto: Opt. Lett. 21 (1996) 626.

    Article  ADS  Google Scholar 

  4. R. H. T. Bates and B. L. K. Davey: Proc. SPIE 828 (1987) 87.

    ADS  Google Scholar 

  5. B. R. Hunt, W. R. Fright, and R. H. T. Bates: J. Opt. Soc. Am. 73 (1983) 456.

    Article  ADS  Google Scholar 

  6. W. G. Bagnuolo, Jr.: Opt. Lett. 10 (1985) 200.

    Article  ADS  Google Scholar 

  7. A. M. Sinton, B. L. K. Davey, and R. H. T. Bates: J. Opt. Soc. Am. A 3 (1986) 1010.

    Article  ADS  Google Scholar 

  8. N. Baba, N. Miura, T. Sakurai, K. Ichimoto, D. Soltau, and P. Brandt: Sol. Phys. 188 (1999) 41.

    Article  ADS  Google Scholar 

  9. Y. Sudo and N. Baba: Opt. Lett. 30 (2005) 1309.

    Article  ADS  Google Scholar 

  10. D. J. Gingras and T. Aruga: Opt. Lett. 15 (1990) 1380.

    Article  ADS  Google Scholar 

  11. S. Kuwamura, N. Baba, N. Miura, M. Noguchi, Y. Norimoto, and S. Isobe: Proc. ESO Conf. High-Resolution Imaging by Interferometry II, 1992, p. 461.

  12. S. Kuwamura, N. Baba, N. Miura, and E. K. Hege: Astron. J. 105 (1993) 665.

    Article  ADS  Google Scholar 

  13. S. Kuwamura, F. Tsumuraya, N. Miura, and N. Baba: Publ. Astron. Soc. Pac. 120 (2008) 348.

    Article  ADS  Google Scholar 

  14. B. L. K. Davey, W. J. Cocke, R. H. T. Bates, D. W. McCarthy, Jr, J. C. Christou, and M. L. Cobb: Astron. J. 98 (1989) 1040.

    Article  ADS  Google Scholar 

  15. J. C. Christou: Exp. Astron. 2 (1991) 27.

    Article  ADS  Google Scholar 

  16. J. W. Goodman: Statistical Optics (Wiley, New York, 1985) p. 429.

    Google Scholar 

  17. J. C. Hebden, J. C. Christou, A. Y. S. Cheng, E. K. Hege, P. A. Strittmatter, J. M. Beckers, and H. P. Murphy: Astron. J. 309 (1986) 745.

    ADS  Google Scholar 

  18. J. C. Christou, E. K. Hege, J. D. Freeman, and E. Ribak: J. Opt. Soc. Am. A 3 (1986) 204.

    Article  ADS  Google Scholar 

  19. J. C. Christou, E. Ribak, E. K. Hege, and J. D. Freeman: Opt. Eng. 25 (1986) 724.

    ADS  Google Scholar 

  20. E. Ribak: J. Opt. Soc. Am. A 3 (1986) 2069.

    Article  ADS  Google Scholar 

  21. J. C. Christou, J. C. Hebden, and E. K. Hege: Astrophys. J. 327 (1988) 894.

    Article  ADS  Google Scholar 

  22. B. L. K. Davey, A. M. Sinton, and R. H. T. Bates: Opt. Eng. 25 (1986) 765.

    Google Scholar 

  23. Y. Sudo, N. Baba, N. Miura, S. Ueno, and R. Kitai: Appl. Opt. 45 (2006) 2707.

    Article  ADS  Google Scholar 

  24. G. R. Ayers and J. C. Dainty: Opt. Lett. 13 (1988) 547.

    Article  ADS  Google Scholar 

  25. V. Aurich and J. Weule: Proc. 17th DAGM-Symp., 1995, p. 538.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Susumu Kuwamura.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuwamura, S., Tsumuraya, F., Sakamoto, M. et al. Deconvolution of background-subtracted shift-and-add image by a modeled point-spread-function. OPT REV 16, 587–593 (2009). https://doi.org/10.1007/s10043-009-0116-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10043-009-0116-2

Keywords

Navigation