Quadratic weighted median filters for edge enhancement of noisy images

IEEE Transactions on Image Processing

Volumn 15, Issue 11, 2006, Pages 3294-3310

  Aysal, Tuncer Can ^a   Barner, Kenneth E ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Asymptotic tail mass; Maximum likelihood estimation; Robust image sharpening; Unsharp masking; Volterra filtering; Weighted median (WM) filtering

Indexed keywords

COMPUTER SIMULATION; EDGE DETECTION; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; SIGNAL FILTERING AND PREDICTION; STATISTICS;

ASYMPTOTIC TAIL MASS; QUADRATIC WEIGHTED MEDIAN FILTERS; ROBUST IMAGE SHARPENING; UNSHARP MASKING; VOLTERRA FILTERING;

IMAGE ENHANCEMENT;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; FILTRATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; FILTRATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STOCHASTIC PROCESSES;

EID: 33750297379     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2006.882010     Document Type: Article

References (34)

1. A. K. Jain, Fundamentals of Digital Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
2. R. C. Gonzalez and R. E. Woods, Digital Image Processing. Upper Saddle River, NJ: Prentice-Hall, 2002.
3. S. Thurnhofer and S. K. Mitra, "A general framework for quadratic Volterra filters for edge enhancement," IEEE Trans. Image Process., vol. 5, no. 6, pp. 950-963, Jun. 1996.
4. K. E. Barner and T. C. Aysal, "Polynomial weighted median filtering," IEEE Trans. Signal Process., vol. 54, no. 2, pp. 636-650, Feb. 2006.
5. G. R. Arce, "A general weighted median filter structure admitting negative weights," IEEE Trans. Signal Process., vol. 46, no. 12, pp. 3195-3205, Dec. 1998.
6. L. Yin, R. Yang, M. Gabbouj, and Y. Neuvo, "Weighted median filters: A tutorial," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 43, no. 3, pp. 157-192, Mar. 1996.
7. G. R. Arce, Nonlinear Signal Processing: A Statistical Approach. New York: Wiley, 2005.
8. S. Gazor and W. Zhang, "Speech probability distribution," IEEE Signal Process. Lett., vol. 10, no. 7, pp. 204-207, Jul. 2003.
9. R. Yang, L. Yin, M. Gabbouj, J. Astola, and Y. Neuvo, "Optimal weighted median filters under structural constraints," IEEE Trans. Signal Process., vol. 43, no. 3, pp. 591-604, Mar. 1995.
10. J. Astola and Y. Neuvo, "Mathced median filtering," IEEE Trans. Commun., vol. 40, no. 4, pp. 722-729, Apr. 1992.
11. L. Yin and Y. Neuvo, "Fast adaptation and performance characteristics of FIR-WOS hybrid filters," IEEE Trans. Signal Process., vol. 42, no. 7, pp. 1610-1628, Jul. 1994.
12. S. Hoyos, Y. Li, J. Bacca, and G. R. Arce, "Weighted median filters admitting complex-valued weights and their optimization," IEEE Trans. Signal Process., vol. 52, no. 10, pp. 2776-2787, Oct. 2004.
13. Q. Liu, J. Astola, and Y. Neuvo, "Matched median filter for detecting QAM signals," IEEE Trans. Commun., vol. 43, no. 1, pp. 7-10, Jan. 1992.
14. J. Astola, P. Haavisto, and Y. Neuvo, "Vector median filters for complex signal," in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 1989, pp. 813-816.
15. T. C. Aysal and K. E. Barner, "Hybrid polynomial filters for gaussian and non-Gaussian noise environments," IEEE Trans. Signal Process., to be published.
16. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Higher Transcendental Functions, vol. I, II and II, The Bateman Manuscript Project. New York: McGraw-Hill, 1953.
17. D. R. K. Browning, "The weighted median filter," Commun. Assoc. Comput. Mach., vol. 27, Aug. 1984.
18. O. Yli-Harja, J. Astola, and Y. Neuvo, "Analysis of the properties of median and weighted median filters using threshold logic and stack filter representaion," IEEE Trans. Signal Process., vol. 39, no. 2, pp. 395-409, Feb. 1991.
19. I. Shmulevich, O. Yli-Harja, J. Astola, and A. Korshunov, "On the robustness of the class of stack filters," IEEE Trans. Signal Process., vol. 50, no. 7, pp. 1640-1649, Jul. 2002.
20. G. R. Arce and Y. Li, "Median power and median correlation theory," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2768-2776, Nov. 2002.
21. K. E. Barner and G. R. Arce, Eds., Nonlinear Signal and Image Processing: Theory, Methods, and Applications. Boca Raton, FL: CRC, 2004.
22. I. Pitas and A. Venetsanopoulos, Nonlinear Digital Filters: Principles and Application. Norwell, MA: Kluwer, 1990.
23. V. J. Mathews and G. L. Sicuranza, Polynomial Signal Processing. New York: Wiley, 2000.
24. G. L. Sicuranza, "Quadratic filters for signal processing," Proc. IEEE, vol. 80, no. 8, pp. 1263-1285, Aug. 1992.
25. K.-S. Choi, A. W. Morales, and S.-J. Ko, "Design of linear combination of weighted medians," IEEE Trans. Signal Process., vol. 49, no. 9, pp. 1940-1952, Sep. 2001.
26. A. B. Hamza and H. Krim, "Image denoising: A nonlinear robust statistical approach," IEEE Trans. Signal Process., vol. 49, no. 12, pp. 3045-3054, Dec. 2001.
27. M. K. Prasad and Y. H. Lee, "Stack filters and selection probabilities," IEEE Trans. Signal Process., vol. 42, no. 10, pp. 2628-2642, Oct. 1994.
28. M. K. Prasad, "Stack filter design using selection probabilities," IEEE Trans. Signal Process., vol. 53, no. 3, pp. 1025-1037, Mar. 2005.
29. J. Nieweglowski, M. Gabbouj, and Y. Neuvo, "Weighted median-positive boolean functions conversion," Signal Process., vol. 34, no. 2, pp. 149-162, 1993.
30. H. A. David and H. N. Nagaraja, Order Statistics. New York: Wiley, 2003.
31. G. R. Arce and R. E. Foster, "Detail preserving ranked-order based filters for image processing," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 1, pp. 83-98, Jan. 1989.
32. A. Stenger, L. Trautmann, and R. Rabenstein, "Adaptive Volterra filters for nonlinear acoustic echo cancellation," presented at the IEEE Int. Conf. Acoustics, Speech, and Signal Processing, Phoenix, AZ, Mar. 1999.
33. R. Oten and R. J. P. de Figueiredo, "Adaptive alpha-trimmed mean filters under deviations from assumed noise model," IEEE Trans. Image Process., vol. 13, no. 5, pp. 627-639, May 2004.
34. T. C. Aysal and K. E. Barner, "Second-order heavy-tailed distributions and tail analysis," IEEE Trans. Signal Process., vol. 54, no. 7, pp. 2827-2832, Jul. 2005.