Skip to main content
SpringerLink
Log in

3D Filtering of Images Corrupted by Mixed Additive-Impulsive Noise

  • TECHNICAL PHYSICS
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

A procedure for filtering images corrupted by mixed (additive-impulsive) noise has been substantiated and implemented for the first time. The novel method is characterized by the following stages: the detection and filtering of pixels corrupted by noise impulses, the image filtering in three-dimensional (3D) discrete cosine transform (DCT) space, and the final image processing stage in which the errors of the previous stages are corrected and the image edges and details are reconstructed. A physical interpretation of the filtering procedure under mixed noise conditions is given, and a filtering block diagram has been developed. Simulations of the proposed image filtering method have confirmed the advantage of the novel filtering scheme in terms of generally recognized criteria: the structural similarity index measure and the peak signal-to-noise ratio as well as when visually comparing the filtered images.

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

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. V. F. Kravchenko, V. I. Ponomaryov, and V. I. Pustovoit, Dokl. Phys. 53 (7), 363 (2008).

    Article  ADS  Google Scholar 

  2. V. F. Kravchenko, V. I. Ponomaryov, and V. I. Pustovoit, Dokl. Phys 55 (2), 58 (2010).

    Article  ADS  Google Scholar 

  3. V. F. Kravchenko, V. I. Ponomaryov, and V. I. Pustovoit, Dokl. Phys. 57 (7), 266 (2012).

    Article  ADS  Google Scholar 

  4. V. F. Kravchenko, V. I. Ponomaryov, and V. I. Pustovoit, Dokl. Phys. 58 (10), 447 (2013).

    Article  ADS  Google Scholar 

  5. V. F. Kravchenko, V. I. Ponomaryov, V. I. Pustovoit, and A. Palacios-Enriquez, Dokl. Phys. 62 (8), 379 (2017).

    Article  ADS  Google Scholar 

  6. V. F. Kravchenko, H. M. Perez-Meana, and V. I. Pono-maryov, Adaptive Digital Processing of Multidimensional Signals with Applications (Fizmatlit, Moscow, 2009).

    Google Scholar 

  7. V. Ponomaryov, F. Gallegos-Funes, and A. Rosales-Silva, J. Math. Imag. Vision 23 (3), 315 (2005).

    Article  Google Scholar 

  8. V. Ponomaryov, H. Montenegro, F. Gallegos, O. Pogrebnyak, and S. Sadovnychiy, Neurocomputing 155, 225 (2015).

    Article  Google Scholar 

  9. K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, IEEE Trans. Image Process 16 (8), 2080 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  10. S. Morillas, V. Gregori, and A. Hervas, IEEE Trans. Image Process 18 (7), 1452 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  11. Y. Zhang, X. Tian, and P. Ren, Neurocomputing 140, 299 (2014).

    Article  Google Scholar 

  12. J. Camarena, V. Gregori, S. Morillas, and A. Sapena, IEEE Trans. Fuzzy Syst. 21 (5), 971 (2013).

    Article  Google Scholar 

  13. J. Jiang, L. Zhang, and J. Yang, IEEE Trans. Image Proces. 23 (6), 2651 (2014).

    Article  ADS  Google Scholar 

  14. Y. Zhou, Z. Ye, Y. Xiao, and J. Vis. Commun. Image Represent. 24 (3), 283 (2013).

    Article  Google Scholar 

  15. http://sipi.usc.edu/database/. The USC-SIPI Image Database.

Download references

Author information

Authors and Affiliations

  1. Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 125009, Moscow, Russia

    V. F. Kravchenko

  2. Instituto Politecnico Nacional de, 04430, Mexico, Mexico

    V. I. Ponomaryov

  3. Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 117342, Moscow, Russia

    V. I. Pustovoit

Authors
  1. V. F. Kravchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Ponomaryov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. I. Pustovoit
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. F. Kravchenko.

Additional information

Translated by V. Astakhov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kravchenko, V.F., Ponomaryov, V.I. & Pustovoit, V.I. 3D Filtering of Images Corrupted by Mixed Additive-Impulsive Noise. Dokl. Phys. 63, 321–325 (2018). https://doi.org/10.1134/S1028335818080025

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335818080025

Keywords

Search

Navigation