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Adaptive Fuzzy Filter and Its Application to Image Enhancement

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Fuzzy Techniques in Image Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 52))

Summary

This chapter describes the design and evaluation of a novel adaptive fuzzy filter, and discusses its application to image enhancement. Most traditional edge detectors can perform well for uncorrupted images but are highly sensitive to impulse noise, so they can not work efficiently for blurred images. The proposed adaptive fuzzy filter consists of two major mechanisms: Adaptive Weighted Fuzzy Mean (AWFM) filter and Fuzzy Normed Inference System (FNIS) to realize the function of edge detection for smeared images. The membership functions of all fuzzy sets used in this filter can be adaptively determined for different images. Moreover, the adaptive fuzzy filter is capable of converting blurred edges to clear ones and suppressing noise at the same time. According to the experimental results, it works well in full range of random impulse noise probability and performs efficiently in the environment of mixed Gaussian impulse noise. This chapter also analytically evaluates the important properties of the filter to show its high performance in general cases.

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References

  1. Arakawa K., Median filter based on fuzzy rules and its application to image restoration, Fuzzy sets and systems, Vol. 77, pp. 3–13, 1996

    Google Scholar 

  2. Bezdek J.C. and Pal S.K., “Fuzzy models for pattern recognition”, IEEE Press, New York, 1992

    Google Scholar 

  3. Choi Y.S. and Krishnapuram R., A robust approach to image enhancement based on fuzzy logic, IEEE Trans. on image processing, Vol. 6, No. 6, pp. 808825, 1997

    Google Scholar 

  4. Gonzalez R.C. and Woods R.E., “Digital image processing”, Addison-Wesley publishing Company Inc., New York, 1992

    Google Scholar 

  5. Hardie R.C. and Boncelet C.G., L UM filters: A class of rank-order-based filters for smoothing and sharpening, IEEE Trans. on signal processing, Vol. 41, No. 3, pp. 1061–1076, 1993

    Google Scholar 

  6. Hardie R.C. and Barner K.E., Rank conditioned rank selection filters for signal restoration, IEEE Trans. on Image Processing, Vol. 3, No. 2, pp. 192–206, 1994

    Google Scholar 

  7. Hardie R.C. and Boncelet C.G., Gradient-based edge detection using nonlinear edge enhancing prefilters, IEEE Trans. on Image Processing, Vol.4, No. 11, pp. 1572–1577, 1995

    Google Scholar 

  8. Jeong B. and Lee Y.H., Design of weighted order statistic filters using the perceptron algorithm, IEEE Trans. on Signal Processing, Vol. 42, No. 11, pp. 32643268, 1994

    Google Scholar 

  9. Kuo Y.-H., Lee C.-S. and Liu C.-C., A new fuzzy edge detection method for image enhancement, in: “Proceedings of the IEEE International Conf. on Fuzzy Systems” (Barcelona, Spain), pp. 1069–1074, 1997

    Google Scholar 

  10. Lee C.-S., Kuo Y.-H. and Yu P.-T., Weighted fuzzy mean filter for image processing, Journal of Fuzzy Sets and Systems, Vol. 89, No. 2, pp. 157–180, 1997

    Google Scholar 

  11. Lee C.-S. and Kuo Y.-H., The important properties and applications of the adaptive weighted fuzzy mean filter, International Journal of Intelligent System, Vol. 14, pp. 253–274, 1999

    Google Scholar 

  12. Node T.A. and Gallagher N.C. Jr., Median filters: Some modifications and their properties, IEEE Trans. on ASSP, Vol. ASSP-30, No. 5, pp. 739–746, 1982

    Google Scholar 

  13. Pitas I. and Venetsanopoulos A.N., Nonlinear mean filters in image processing,IEEE Trans. on ASSP, Vol. ASSP-34, No. 3, pp. 573–584, 1986

    Google Scholar 

  14. Russo F. and Ramponi G., A fuzzy operator for the enhancement of blurred and noisy images, IEEE Trans. on Image Processing, Vol. 4, No. 8, pp. 1169–1174, 1995

    Google Scholar 

  15. Terano T., Asai K. and Sugeno M., “Fuzzy systems theory and its applications”, Academic Press Inc., Boston, 1992

    MATH  Google Scholar 

  16. Yang X. and Toh P.-S., Adaptive fuzzy multilevel median filter,IEEE Trans. on Image Processing, Vol. 4, No. 5, pp. 680–682, 1995

    Google Scholar 

  17. Zeng B. and Neuvo Y., Optimal parallel stack filtering under the mean absolute error criterion, IEEE Trans. on Image Processing, Vol. 3, No. 3, pp. 324–327, 1994

    Google Scholar 

  18. Zimmermann H.J., “Fuzzy set theory and its applications”, Kluwer Academic Publishers, Boston, 1991

    MATH  Google Scholar 

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© 2000 Springer-Verlag Berlin Heidelberg

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Lee, CS., Kuo, YH. (2000). Adaptive Fuzzy Filter and Its Application to Image Enhancement. In: Kerre, E.E., Nachtegael, M. (eds) Fuzzy Techniques in Image Processing. Studies in Fuzziness and Soft Computing, vol 52. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1847-5_6

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  • DOI: https://doi.org/10.1007/978-3-7908-1847-5_6

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2475-9

  • Online ISBN: 978-3-7908-1847-5

  • eBook Packages: Springer Book Archive

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