Skip to main content
Log in

Image restoration with a microscanning imaging system

  • Mathematical Models, Computational Methods
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Traditional methods of image restoration use only one observed image for processing. In this paper, we propose methods for image restoration using several distorted images obtained with a microscanning imaging system. We assume that the observed images contain an original image degraded either by additive or by multiplicative interferences. Additionally, the images are corrupted with the additive noise of a receiver sensor. Using a set of observed images, image restoration is carried out by solving a system of equations that is derived from optimization of an objective function. Since the proposed restoration methods possess a high computational complexity, a fast algorithm is proposed. Computer simulation results obtained with the proposed methods are analyzed in terms of restoration accuracy, tolerance to the additive input noise, and robustness to sensors’position errors.

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. A. C. Bovik, Handbook of Image and Video Processing (Academic, Orlando, 2005).

    Google Scholar 

  2. R. C. González and R. E. Woods, Digital Image Processing (Prentice Hall, Upper Saddle River, 2008).

    Google Scholar 

  3. A. K. Jain, Fundamentals of Digital Image Processing (Prentice Hall, Englewood Cliffs, 1988).

    Google Scholar 

  4. S. G. Narasimhan and S. K. Nayar, “Vision and the atmosphere”, Int. J. Comp. Vision, No. 3, 233–254 (2002).

    Google Scholar 

  5. N. Hautiere and D. Aubert, “Contrast restoration of foggy images through use of an onboard camera,” in Proc. IEEE Conf. Intell. Transp. Syst., 2003 (IEEE, New York, 2003), pp. 1090–1090 (2005).

    Google Scholar 

  6. S. G. Narasimhan and S. K. Nayar, “Contrast restoration of weather degraded images,” IEEE Trans. Pattern. Anal. Mach. Intell., 25, 713–724 (2003).

    Article  Google Scholar 

  7. B. M. Ratliff, M. M. Hayat, and R. C. Hardie, “An algebraic algorithm for nonuniformity correction in focal-plane arrays,” J. Opt. Soc. Am. A 19, 1737–1747 (2002).

    Article  Google Scholar 

  8. A. Ferrero, J. Alda, J. Campos, J. M. Lopez-Alonso, and A. Pons, “Principal components analysis of the photoresponse nonuniformity of a matrix detector,” Appl. Opt. 46, 9–17 (2007).

    Article  Google Scholar 

  9. P. García-Martínez, M. Tejera, C. Ferreira, D. Lefebvre, and H. Arsenault, “Optical implementation of the weighted sliced orthogonal nonlinear generalized correlation for nonuniform illumination conditions,” Appl. Opt. 41, 6867–6874 (2007).

    Article  Google Scholar 

  10. D. Kundur and D. Hatzinakos, “Blind image deconvolution: An algorithmic approach to practical image restoration,” IEEE Signal Process. Mag. 13(3), 43–64 (1996).

    Article  Google Scholar 

  11. S. Uma and S. Annadurai, “A review-restoration approaches,” ICGST Int. J. Grap. Vision. Im. Process. 8, 23–35 (2005).

    Google Scholar 

  12. M. Banham and A. Katsaggelos, “Digital image restoration,” IEEE Signal Process. Mag., 14, 24–41 (1997).

    Article  Google Scholar 

  13. J. L. Lopéz-Martínez and V. Kober, “Image restoration based on camera microscanning,” Proc. SPIE: Appl. Digital Image Process. XXXI 7073, 707322 (2008).

    Article  Google Scholar 

  14. J. L. Lopéz-Martínez and V. Kober, “Fast image restoration algorithm based on camera microscanning,” Proc. SPIE: Appl. Digital Image Process. XXXII 7443, 744310 (2009).

    Article  Google Scholar 

  15. J. L. Lopéz-Martínez and V. Kober, “Image restoration of nonuniformly illuminated images with camera microscanning,” Proc. SPIE: Appl. Digital Image Process. XXXIII 7798, 77982D (2010).

    Article  Google Scholar 

  16. J. L. Lopéz-Martínez, V. Kober, and I. A. Ovseyevich, “Image restoration based on camera microscanning,” Pattern Recogn. Image Analysis 20, 370–375 (2010).

    Article  Google Scholar 

  17. J. Shi, S. E. Reichenbach, and J. D. Howe, “Small-kernel superresolution methods for microscanning imaging systems,” Appl. Opt. 45, 1203–1214 (2006).

    Article  Google Scholar 

  18. G. Golub and C. Van Loan, Matrix Computations (Johns Hopkins Univ. Press, Baltimore, 1996).

    MATH  Google Scholar 

  19. V. Kober, M. Mozero, and J. Alvarez-Borrego, “Nonlinear filters with spatially connected neighborhoods,” Opt. Eng. 40, 971–983 (2001).

    Article  Google Scholar 

  20. B. K. P. Horn and R. W. Sjoberg, “Calculating the reflectance map,” Appl. Opt. 18, 1770–1779 (1979).

    Article  Google Scholar 

  21. V. H. Diaz-Ramirez and V. Kober, “Target recognition under nonuniform illumination conditions,” Appl. Opt. 48, 1408–1418 (2009).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. N. Karnaukhov.

Additional information

Original Russian Text © J.L. López-Martínez, V.I. Kober, V.N. Karnaukhov, 2014, published in Informatsionnye Protsessy, 2014, Vol. 14, No. 1, pp. 87–107.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

López-Martínez, J.L., Kober, V.I. & Karnaukhov, V.N. Image restoration with a microscanning imaging system. J. Commun. Technol. Electron. 59, 1451–1464 (2014). https://doi.org/10.1134/S1064226914120122

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226914120122

Keywords

Navigation