A Technique for Improving the Performance of Median Smoothers at the Corners Characterized by Low Order Polynomials
Median filters with larger windows offer greater smoothing and are more robust than the median filters of smaller windows. However, the larger median smoothers (the median filters with the larger windows) fail to track low order polynomial trends in the signals. Due to this, constant regions are produced at the signal corners, leading to the loss of fine details. In this paper, an algorithm, which combines the ability of the 3-point median smoother in preserving the low order polynomial trends and the superior noise filtering characteristics of the larger median smoother, is introduced. The proposed algorithm (called the combiner algorithm in this paper) is evaluated for its performance on a test image corrupted with different types of noise and the results obtained are included.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1331867Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1041
 E.Ataman, V.K.Aatre and K.M.Wong, "Some Statistical Properties of Median Filters," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-29, pp.1073-1075, Oct.1981.
 K.Oflazer, "Design and Implementation of a Single-Chip 1-D Median Filter," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP- 31, no.5, pp.1164-1168, Oct.1983.
 N.Demassieux, F.Jutand, M.Saint-Paul and M.Dana, "VLSI Architecture for a One-Chip Video Median Filter," Proc. Int. Conf. on Acoust., Speech and Signal Processing, pp.1001-1004, 1985.
 E.Ataman, V.K.Aatre and K.M.Wong, "A Fast Method for Real Time Median Filtering," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-28, no.4, pp.415-421, Aug.1980.
 D.J.Delman, "Digital Pipelined Median Filter Design for Real-Time Image Processing," Proc. SPIE, vol.298, pp.184-188, Aug.1981.
 L.R.Rabiner, M.R.Sambur and C.E.Schmidt, "Applications of a Nonlinear Smoothing Algorithm to Speech Processing," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-23, pp.552-557, Dec.1975.
 N.S.Jayant, "Average- and Median-Based Smoothing Techniques for Improving Digital Speech Quality in the Presence of Transmission Errors," IEEE Trans. Commun., vol.COM-24, pp.1043-1045,Sept.1976.
 I.Pitas and A.N.Venetsanopoulos, Nonlinear Digital Filters: Principles and Applications. Boston, MA: Kluwer Academic, 1990.
 W.K.Pratt, Digital Image Processing. New York: Wiley-Interscience, 1991.
 A.C.Bovik, "Streaking in Median Filtered Images," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-35, no.4, pp.493-503, April 1987.
 Y.H.Lee and S.A.Kassam(1985), "Generalized Median Filtering and Related Nonlinear Filtering Techniques," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-33, pp.672-683, June 1985.
 G.R.Arce and M.P.McLoughlin, "Theoretical Analysis of Max/Median Filters," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-35, no.1, pp.60-69, Jan. 1987.
 A.Nieminen and P.Heinonen and Y.Neuvo, "A New Class of Detail Preserving Filters for Image Processing," IEEE Trans. Pattern Anal. and Mach. Intell., vol.PAMI-9, pp.74-90, Jan. 1987.
 P.Heinonen and Y.Neuvo, "FIR-Median Hybrid Filters," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-35, pp.832-838, June 1987.
 G.R.Arce and R.E.Foster, "Detail Preserving Ranked-Order Based Filters for Image Processing," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-37, pp.83-98, Jan. 1989.
 R.Bernstein, "Adaptive Nonlinear Filters for Simultaneous Removal of Different Kinds of Noise in Images," IEEE Trans. Circuits and Systems, vol.CAS-34, no.11, pp.1275-1291, Nov. 1987.
 H.M.Lin and A.N.Willson,Jr., "Median Filters with Adaptive Length," IEEE Trans. Circuits and Systems, vol.CAS-35, no.6, pp.675-690, June 1988.
 L.Yin, R.Yang, M.Gabbouj and Y.Neuvo, "Weighted Median Filters: A Tutorial," IEEE Trans. Circuits and Systems-II: Analog and Digital Signal Processing, vol.43, no.3, pp.157-192, Mar. 1996.
 S.J.Ko and Y.H.Lee, "Center Weighted Median Filters and Their Applications to Image Enhancement," IEEE Trans. Circuits and Systems, vol.CAS-38, no.9, pp.984-993, Sept. 1991.
 Z.Wang and D.Zhang, "Progressive Switching Median Filter for the Removal of Impulse Noise from Highly Corrupted Images," IEEE Trans. Circuits and Systems-II:Analog and Digital Signal Processing, Vol.46, No.1, pp.78-80, Jan.1999.
 T.Chen, K.K.Ma and L.H.Chen, "Tri-State Median Filter for Image Denoising," IEEE Trans. Image Processing, Vol.8, No.12, pp.1834- 1838, Dec.1999.
 H.L.Eng and K.K.Ma, "Noise Adaptive Soft Switching Median Filter," IEEE Trans. Image Processing, Vol.10, No.2, pp.242-251, Feb.2001.
 S.Zhang and M.A.Karim, "A New Impulse Detector for Switching Median Filters,"IEEE Signal Processing Letters, Vol.9, no.11, pp.360- 363, Nov.2002.
 T.C.Lin and P.T.Yu, "Salt-Pepper Impulse Noise Detection and Removal Using Multiple Thresholds for Image Restoration," Journal of Information Science and Engineering 22, 189-198, (2006).
 N.C.Gallagher,Jr. and G.L.Wise, "A Theoretical Analysis of the Properties of Median Filters," IEEE Trans. Acoust., Speech and Signal Processing, vol.ASSP-29, pp.1136-1141, Dec. 1981.