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Fast Design of 2-D Narrow Bandstop FIR Filters for Image Enhancement

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3215))

Abstract

Novel approach in the design of 2-D extremely narrow bandstop FIR filters is presented. The completely analytical design method is based on the 1-D optimal bandstop FIR filters. The 1-D FIR optimal bandstop filters are based on Zolotarev polynomial. Closed form formulas for the design of the filters are presented. One example demonstrates the design procedure. Application of the 2-D narrow bandstop FIR filter for image enhancement is presented.

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References

  1. Astola, J., Kuosmanen, P.: Fundamentals of Nonlinear Digital Filtering. CRC Press, Boca Raton (1997)

    MATH  Google Scholar 

  2. Abramowitz, M., Stegun, I.: Handbook of Mathematical Function. Dover Publication, New York (1972)

    MATH  Google Scholar 

  3. Achieser, N.I.: Über einige Funktionen, die in gegebenen Intervallen am wenigsten von Null abweichen. Bull. de la Soc. Phys. Math. de Kazan 3, 1–69 (1928)

    MATH  Google Scholar 

  4. Fischer, V., Drutarovsky, M., Lukac, R.: Implementation of 3-D Adaptive LUM Smoother in Reconfigurable Hardware. In: Glesner, M., Zipf, P., Renovell, M. (eds.) FPL 2002. LNCS, vol. 2438, pp. 720–729. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  5. Gonzales, R.C., Woods, R.E.: Digital Image processing. Wiley Interscience, NY (2001)

    Google Scholar 

  6. Lawden, D.F.: Elliptic Functions and Applications. Springer, New York (1989)

    Book  Google Scholar 

  7. Lukac, R.: Binary LUM Smoothing. IEEE Signal Processing Letters 9(12), 400–403 (2002)

    Article  Google Scholar 

  8. Lukac, R.: Adaptive Vector Median Filtering. Pattern Recognition Letters 24(12), 1889–1899 (2003)

    Article  Google Scholar 

  9. Lukac, R.: Simplified Boolean LUM Smoothers. In: Proceedings of the 4th EURASIP-IEEE Region 8 International Symposium on Video/Image Processing and Multimedia Communications VIPromCom 2002, Zadar, Croatia, June 16-19, pp. 159–162 (2002)

    Google Scholar 

  10. Lukac, R.: The Way How to Design and Implement an Adaptive Method Based on Center-Weighted Medians. In: Proceedings of the IEEE Scientific Workshop Signal Processing 2002, Poznan, Poland, October 11, pp. 9–14 (2002)

    Google Scholar 

  11. Pitas, I., Venetsanopoulos, A.N.: Nonlinear Digital Filters: Priciples and Applications. Kluwer Academic Publishers, Dordrecht (1990)

    Book  Google Scholar 

  12. Pratt, W.K., Venetsanopoulos, A.N.: Digital Image processing. Kluwer Academic Publishers, Dordrecht (1990)

    Google Scholar 

  13. Vlček, M., Jireš, L.: Fast Design Algorithms for FIR Notch Filters. In: Proc. of IEEE International Symposium on Circuits and Systems ISCAS 1994, London, vol. 2, pp. 297–300 (1994)

    Google Scholar 

  14. Vlček, M., Unbehauen, R.: Zolotarev Polynomials and Optimal FIR Filters. IEEE Transactions on Signal Processing 47(3), 717–730 (1999)

    Article  MathSciNet  Google Scholar 

  15. Vlček, M., Zahradnik, P., Unbehauen, R.: Analytic Design of FIR Filters. IEEE Transactions on Signal Processing 48, 2705–2709 (2000)

    Article  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Zahradnik, P., Vlček, M. (2004). Fast Design of 2-D Narrow Bandstop FIR Filters for Image Enhancement. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30134-9_97

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  • DOI: https://doi.org/10.1007/978-3-540-30134-9_97

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23205-6

  • Online ISBN: 978-3-540-30134-9

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