Image enhancement is the most important challenging preprocessing for almost all applications of Image Processing. By now, various methods such as Median filter, α-trimmed mean filter, etc. have been suggested. It was proved that the α-trimmed mean filter is the modification of median and mean filters. On the other hand, ε-filters have shown excellent performance in suppressing noise. In spite of their simplicity, they achieve good results. However, conventional ε-filter is based on moving average. In this paper, we suggested a new ε-filter which utilizes α-trimmed mean. We argue that this new method gives better outcomes compared to previous ones and the experimental results confirmed this claim.
[1] Pitas and A. N. Venetsanopoulos, Nonlinear Digital Filters: Principles
and Applications. Boston, MA: Kluwer Academic, 1990.
[2] L. Yin, R. Yang, M. Gabbouj, Y. Neuvo, "Weighted median filters: a
tutorial," IEEE Transactions on Circuits and Systems II: Analog and
Digital Signal Processing , vol. 43, no. 3, pp. 157 - 192, Mar 1996.
[3] A. C. Bovik, T. S. Huang, and D. C. Munson, Jr., "The effect of median
filtering on edge estimation and detection," IEEE Trans. Pattem Anal.
Machine Intell., vol. PAMI-9, pp. 181-194, Mar. 1987.
[4] G. R. Arce and R. E. Foster, " Detailed preserving ranked-order based
filters for image processing," IEEE Trans. Acoust., Speech, Signal
Process., vol. 37, pp. 83-98, Jan. 1989.
[5] K. E. Barner and G. R. Arce, "Permutation filters: a class of nonlinear
filters based on set permutations," IEEE Trans. Signal Process., vol. 42,
pp. 782-798, Apr. 1994.
[6] E. J. Coyle and J. H. Lin, "Stack filters and the mean absolute error
criterion," IEEE Trans. Acoust., Speech, Signal Process., vol. 36, pp.
1244-1254, Aug. 1988.
[7] P. Heinonen and Y. Neuvo, "FIR-median hybrid filters," IEEE Trans.
Acoust., Speech, Signal Process., vol. ASSP-35, pp. 832-838, June
1987.
[8] D. R. K. Brownrigg, "The weighted median filter," Commun. ACM,
vol. 27, no. 8, pp. 807-818, Aug. 1984.
[9] H. Harashima, K. Odajima, Y. Shishikui, and H. Miyakawa, "╬Á-
separating nonlinear digital filter and its applications," IEICE
Transaction on Fundamentals, J65-A, pp. 297-303, 1982.
[10] K. Arakawa, K. Matsuura, H. Watabe, and Y. Arakawa, "A method of
noise reduction for speech signals using component separating ╬Á-filters,"
IEICE Transaction on Fundamentals, J85-A, pp. 1059-1069, 2002.
[11] T. Abe, M. Matsumoto, S. Hashimoto, "Noise reduction combining
time-domain ╬Á-filter and time-frequency ╬Á-filter," J. Acoust. Soc. Am.
Volume 122, Issue 5, pp. 2697-2705, November 2007.
[12] M. Matsumoto, "Parameter optimization of median ╬Á-filter based on
correlation maximization," 2nd International Congress on Image and
Signal Processing, pp. 1-5, 17-19 Oct. 2009.
[13] I. Pitas, A. N. Venetsanopoulos, "Order Statistics in Digital Image
Processing," Proceedings of the IEEE, vol. 80, no. 12, pp. 1893 - 1921,
1992.
[14] J. B. Bednar and T. L.Watt "Alpha-trimmed means and their
relationship to the median filters," IEEE Trans. Acoust., Speech, Signal
Process., vol. 32, pp. 145-153, Feb. 1987.
[1] Pitas and A. N. Venetsanopoulos, Nonlinear Digital Filters: Principles
and Applications. Boston, MA: Kluwer Academic, 1990.
[2] L. Yin, R. Yang, M. Gabbouj, Y. Neuvo, "Weighted median filters: a
tutorial," IEEE Transactions on Circuits and Systems II: Analog and
Digital Signal Processing , vol. 43, no. 3, pp. 157 - 192, Mar 1996.
[3] A. C. Bovik, T. S. Huang, and D. C. Munson, Jr., "The effect of median
filtering on edge estimation and detection," IEEE Trans. Pattem Anal.
Machine Intell., vol. PAMI-9, pp. 181-194, Mar. 1987.
[4] G. R. Arce and R. E. Foster, " Detailed preserving ranked-order based
filters for image processing," IEEE Trans. Acoust., Speech, Signal
Process., vol. 37, pp. 83-98, Jan. 1989.
[5] K. E. Barner and G. R. Arce, "Permutation filters: a class of nonlinear
filters based on set permutations," IEEE Trans. Signal Process., vol. 42,
pp. 782-798, Apr. 1994.
[6] E. J. Coyle and J. H. Lin, "Stack filters and the mean absolute error
criterion," IEEE Trans. Acoust., Speech, Signal Process., vol. 36, pp.
1244-1254, Aug. 1988.
[7] P. Heinonen and Y. Neuvo, "FIR-median hybrid filters," IEEE Trans.
Acoust., Speech, Signal Process., vol. ASSP-35, pp. 832-838, June
1987.
[8] D. R. K. Brownrigg, "The weighted median filter," Commun. ACM,
vol. 27, no. 8, pp. 807-818, Aug. 1984.
[9] H. Harashima, K. Odajima, Y. Shishikui, and H. Miyakawa, "╬Á-
separating nonlinear digital filter and its applications," IEICE
Transaction on Fundamentals, J65-A, pp. 297-303, 1982.
[10] K. Arakawa, K. Matsuura, H. Watabe, and Y. Arakawa, "A method of
noise reduction for speech signals using component separating ╬Á-filters,"
IEICE Transaction on Fundamentals, J85-A, pp. 1059-1069, 2002.
[11] T. Abe, M. Matsumoto, S. Hashimoto, "Noise reduction combining
time-domain ╬Á-filter and time-frequency ╬Á-filter," J. Acoust. Soc. Am.
Volume 122, Issue 5, pp. 2697-2705, November 2007.
[12] M. Matsumoto, "Parameter optimization of median ╬Á-filter based on
correlation maximization," 2nd International Congress on Image and
Signal Processing, pp. 1-5, 17-19 Oct. 2009.
[13] I. Pitas, A. N. Venetsanopoulos, "Order Statistics in Digital Image
Processing," Proceedings of the IEEE, vol. 80, no. 12, pp. 1893 - 1921,
1992.
[14] J. B. Bednar and T. L.Watt "Alpha-trimmed means and their
relationship to the median filters," IEEE Trans. Acoust., Speech, Signal
Process., vol. 32, pp. 145-153, Feb. 1987.
@article{"International Journal of Electrical, Electronic and Communication Sciences:56734", author = "Mahdi Shaneh and Arash Golibagh Mahyari", title = "Image Enhancement using α-Trimmed Mean ε-Filters", abstract = "Image enhancement is the most important challenging preprocessing for almost all applications of Image Processing. By now, various methods such as Median filter, α-trimmed mean filter, etc. have been suggested. It was proved that the α-trimmed mean filter is the modification of median and mean filters. On the other hand, ε-filters have shown excellent performance in suppressing noise. In spite of their simplicity, they achieve good results. However, conventional ε-filter is based on moving average. In this paper, we suggested a new ε-filter which utilizes α-trimmed mean. We argue that this new method gives better outcomes compared to previous ones and the experimental results confirmed this claim.
", keywords = "Image enhancement, median filter, ε-filter – α-trimmed mean filter.", volume = "5", number = "11", pages = "1500-4", }
