Image Filtering Using Fuzzy \(S-\)metrics

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Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation (INFUS 2021)

Abstract

In this paper image filtering is performed by fuzzy metrics. The authors concentrated on improving the quality and sharpness of the filtered image, computed by the image quality metrics UIQI and CPBD. Fuzzy metrics and so-called aggregated metrics determine the similarity measure (distance) by the color of the pixels from the window with central pixel, as well as the spatial distance itself. Appropriate selection of the fuzzy complement that defines the \(S-\)metric dual with earlier examined \(T-\)metrics would give the whole spectrum of original metrics with higher sharpness of filtered image. In this paper, combinations of fuzzy \(S-\)metrics are considered, in order to obtain good criteria during the image filtering process, which is explained in more detail in the paper. Higher sharpness index than images filtered with the median filter is obtained in this paper, where the images are filtered with this modified algorithm. The fuzzy metric parameters that produce images with the better quality and sharpness are determined experimentally.

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References

  1. Gregori, V., Romaguera, S.: Some properties of fuzzy metric spaces. Fuzzy Sets Syst. 115, 485–489 (2000)

    Article  MathSciNet  Google Scholar 

  2. Gregori, V., Morillas, S., Sapena, A.: Examples of fuzzy metrics and applications. Fuzzy Sets Syst. 170, 95–111 (2011)

    Article  MathSciNet  Google Scholar 

  3. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publishers, Dordrecht (2000)

    Book  Google Scholar 

  4. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic, Theory and Applications. Prentice Hall, New Jersey (1995)

    MATH  Google Scholar 

  5. Morillas, S., Gregori, V., Peris-Fajarnes, G., Latorre, P.: A fast impulsive noise color image filter using fuzzy metrics. Real-Time Imaging 11(5–6), 417–428 (2005)

    Article  Google Scholar 

  6. Morillas, S., Gregori, V., Peris-Fajarnes, G., Sapena, A.: New adaptive vector filter using fuzzy metrics. J. Electron. Imaging 16(3), 033007:1–15 (2007)

    Google Scholar 

  7. Narvekar, N., Karam, L.: An improved no-reference sharpness metric based on the probability of blur detection. In: Conference Proceedings 2009 International Workshop on Video Processing and Quality Metrics or Consumer Electronics (2010)

    Google Scholar 

  8. Ralević, N.M., Karaklić, D., Pištinjat, N.: Fuzzy metric and its applications in removing the image noise. Soft Comput. 23(22), 12049–12061 (2019). https://doi.org/10.1007/s00500-019-03762-5

    Article  MATH  Google Scholar 

  9. Ralević, N., Paunović, M., Iričanin, B.: Fuzzy metric spaces and applications in image processing. Math. Montisnigri 48, 103–117 (2020)

    Article  MathSciNet  Google Scholar 

  10. Smolka, B., Szczepanski, M., Plataniotis, K.N., Venetsanopoulos, A.N.: On the fast modified vector median filter. Canadian Conf. Electr. Comput. Eng. 2(2), 1315–1320 (2001)

    MATH  Google Scholar 

  11. Wang, Z., Bovik, A.C.: A universal image quality index. IEEE Sign. Process. Lett. 9(3), 81–84 (2002)

    Article  Google Scholar 

Download references

Acknowledgements

The authors has been supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia through the project no. 451-03-68/2020-14/200156: “Innovative scientific and artistic research from the FTS (activity) domain”.

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Correspondence to Nebojša Ralević .

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Ralević, N., Karaklić, D., Paunović, M., Ćebić, D. (2022). Image Filtering Using Fuzzy \(S-\)metrics. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A.C., Sari, I.U. (eds) Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 307. Springer, Cham. https://doi.org/10.1007/978-3-030-85626-7_86

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