Skip to main content

A Fuzzy Filter for High-Density Salt and Pepper Noise Removal

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8109))

Abstract

In this paper, a novel filter for high-density salt and pepper noise removal based on the fuzzy mathematical morphology using t-norms is proposed. This filter involves two phases, namely, a detection step of the corrupted pixels and the restoration of the image using a specialized regularization method using fuzzy open-close and close-open sequences. The experimental results show that the proposed algorithm outperforms other nonlinear filtering methods both from the visual point of view and the values of some objective performance measures for images corrupted up to 90% of noise.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Srinivasan, K.S., Ebenezer, D.: A new fast and efficient decision-based algorithm for removal of high-density impulse noises. IEEE Signal Processing Letters 14(3), 189–192 (2007)

    Article  Google Scholar 

  2. Ze-Feng, D., Zhou-Ping, Y., You-Lun, X.: High probability impulse noise-removing algorithm based on mathematical morphology. IEEE Signal Processing Letters 14(1), 31–34 (2007)

    Article  Google Scholar 

  3. Schulte, S., De Witte, V., Nachtegael, M., Van der Weken, D., Kerre, E.E.: Fuzzy two-step filter for impulse noise reduction from color images. IEEE Transactions on Image Processing 15(11), 3567–3578 (2006)

    Article  Google Scholar 

  4. Wang, X., Zhao, X., Guo, F., Ma, J.: Impulsive noise detection by double noise detector and removal using adaptive neural-fuzzy inference system. Int. J. Electron. Commun. 65, 429–434 (2011)

    Article  Google Scholar 

  5. Serra, J.: Image analysis and mathematical morphology, vol. 1, 2. Academic Press, London (1982)

    MATH  Google Scholar 

  6. Bloch, I., Maître, H.: Fuzzy mathematical morphologies: A comparative study. Pattern Recognition 28, 1341–1387 (1995)

    Article  MathSciNet  Google Scholar 

  7. Nachtegael, M., Kerre, E.E.: Classical and fuzzy approaches towards mathematical morphology. In: Kerre, E.E., Nachtegael, M. (eds.) Fuzzy Techniques in Image Processing. STUDFUZZ, vol. 52, pp. 3–57. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  8. González-Hidalgo, M., Mir-Torres, A., Ruiz-Aguilera, D., Torrens, J.: Fuzzy morphology based on uninorms: Image edge-detection. Opening and closing. In: Tavares, J., Jorge, N. (eds.) Computational Vision and Medical Image Processing, pp. 127–133. Taylor & Francis Group (2008)

    Google Scholar 

  9. Papari, G., Petkov, N.: Edge and line oriented contour detection: State of the art. Image and Vision Computing 29(2-3), 79–103 (2011)

    Article  Google Scholar 

  10. Lerallut, R., Decenciére, É., Meyer, F.: Image filtering using morphological amoebas. Image and Vision Computing 25(4), 395–404 (2007)

    Article  Google Scholar 

  11. Maragos, P.: Morphological filtering. In: Bovik, A. (ed.) The Essential Guide to Image Processing, pp. 293–321. Academic Press, Boston (2009)

    Chapter  Google Scholar 

  12. González-Hidalgo, M., Massanet, S., Mir, A., Ruiz-Aguilera, D.: High-density impulse noise removal using fuzzy mathematical morphology. Accepted in EUSFLAT (2013)

    Google Scholar 

  13. Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Kluwer Academic Publishers, London (2000)

    Book  MATH  Google Scholar 

  14. Baczyński, M., Jayaram, B.: Fuzzy Implications. STUDFUZZ, vol. 231. Springer, Heidelberg (2008)

    MATH  Google Scholar 

  15. De Baets, B.: Fuzzy morphology: A logical approach. In: Ayyub, B.M., Gupta, M.M. (eds.) Uncertainty Analysis in Engineering and Science: Fuzzy Logic, Statistics, and Neural Network Approach, pp. 53–68. Kluwer Academic Publishers, Norwell (1997)

    Google Scholar 

  16. Singh, A., Ghanekar, U., Kumar, C., Kumar, G.: An efficient morphological salt-and-pepper noise detector. Int. J. Advanced Networking and Applications 2, 873–875 (2011)

    Google Scholar 

  17. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: From error visibility to structural similarity. IEEE Transactions on Image Processing 13(4), 600–612 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

González-Hidalgo, M., Massanet, S., Mir, A., Ruiz-Aguilera, D. (2013). A Fuzzy Filter for High-Density Salt and Pepper Noise Removal. In: Bielza, C., et al. Advances in Artificial Intelligence. CAEPIA 2013. Lecture Notes in Computer Science(), vol 8109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40643-0_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-40643-0_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40642-3

  • Online ISBN: 978-3-642-40643-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics