Partition-based vector filtering technique for suppression of noise in digital color images

IEEE Transactions on Image Processing

Volumn 15, Issue 8, 2006, Pages 2324-2342

  Ma, Zhonghua ^a,b   Wu, Hong Ren ^b,c   Feng, Dagan ^a,d  

^a UNIVERSITY OF SYDNEY   (Australia)

^b MONASH UNIVERSITY   (Australia)

^c RMIT UNIVERSITY   (Australia)

^d HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Center weighted vector median (CWVM) filter; Constrained least mean square (LMS) algorithm; Digital color image restoration; Partition based adaptive vector (PBTVM) filter

Indexed keywords

ADAPTIVE FILTERING; ESTIMATION; IMAGE ENHANCEMENT; IMAGE QUALITY; IMAGE RECONSTRUCTION; OPTIMIZATION; VECTORS;

CENTER-WEIGHTED VECTOR MEDIAN (CWVM) FILTER; CONSTRAINED LEAST MEAN-SQUARE (LMS) ALGORITHM; DIGITAL COLOR IMAGE; PARTITION-BASED ADAPTIVE VECTOR FILTER;

COLOR IMAGE PROCESSING;

ALGORITHM; ARTICLE; ARTIFACT; COLORIMETRY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING;

ALGORITHMS; ARTIFACTS; COLORIMETRY; COMPUTER GRAPHICS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 33746217154     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2006.877066     Document Type: Article

References (49)

1. V. Barnett, "The ordering of multivariate data," J. Statist. Soc. Amer. A., vol. 139, no. 3, pp. 318-354, 1976.
2. p and its use in multivariate image estimation," IEEE Trans. Circuits Syst. Video Technol., vol. 1, no. 2, pp. 197-209, Jun. 1991.
3. I. Pitas and P. Tsakalides, "Multivariate ordering in color image filtering," IEEE Trans. Circuits Syst. Video Technol., vol. 1, no. 3, pp. 247-259, Sep. 1991.
4. K. Tang, J. Astola, and Y. Neuvo, "Nonlinear multivariate image filtering techniques," IEEE Trans. Image Process., vol. 4, no. 6, pp. 788-798, Jun. 1995.
5. K. N. Plataniotis and A. N. Venetsanopoulos, Colour Image Processing Handbook. Cambridge, U.K.: Chapman & Hall, 1997, ch. Vector processing, pp. 188-209.
6. K. N. Plataniotis and A. N. Venetsanopoulos, Color Image Processing and Applications. Berlin, Germany: Springer, 2000.
7. J. Astola, P. Haavisto, and Y. Neuov, "Vector median filter," Proc. IEEE, vol. 78, no. 4, pp. 678-689, Apr. 1990.
8. P. E. Trahanias and A. N. Venetsanopoulos, "Vector directional filters: A new class of multichannel image processing filter," IEEE Trans. Image Process., vol. 2, no. 4, pp. 528-534, Oct. 1993.
9. D. G. Karakos and P. E. Trahania, "Combining vector median and vector directional filters: The directional-distance filter," in Proc. IEEE Int. Conf. Image Processing, Washington, DC, Oct. 1995, vol. 1, pp. 171-174.
10. T. Viero, K. Oistamo, and Y. Neuvo, "Three-dimensional median-related filters for color image sequence filtering," IEEE Trans. Circuits Syst., vol. 4, no. 2, pp. 129-142, Apr. 1994.
11. B. Smolka, M. Szczepanski, K. N. Plataniotis, and A. N. Venetsanopoulos, "On the modified weighted vector median filter," in Proc. IEEE Int. Conf. Digital Signal Process, Santorini, Greece, Jul. 2002, vol. 1, pp. 939-942.
12. R. Lukac, "Adaptive vector median filtering," Pattern Recognit. Lett., vol. 24, no. 12, pp. 1889-1899, Aug. 2003.
13. R. Lukac and S. Marchevsky, "Adaptive vector LUM smoother," in Proc. IEEE Int. Conf. Image Processing, Oct. 2001, vol. 1, pp. 878-881.
14. R. Lukac, "Adaptive color image filtering based on center-weighted vector directional filters," Multidimensional Syst. Signal Process., vol. 15, no. 2, pp. 169-196, Apr. 2004.
15. R. Lukac, B. Smolka, K. N. Plataniotis, and A. N. Venetsanopoulos, "Selection weighted vector directional filter," Comput. Vis. Image Understand., vol. 94, no. 1-3, pp. 140-167, Apr. 2004.
16. R. Lukac, K. N. Plataniotis, B. Smolka, and A. N. Venetsanopoulos, "Generalized selection weighted vector filter," EURASIP J. Appl. Signal Process., vol. 2004, no. 12, pp. 1870-1885, Oct. 2004.
17. K. N. Plataniotis, S. Vinayagamoorthy, D. Androutsos, and A. N. Venetsanopoulos, "An adaptive nearest neighbor multichannel filter," IEEE Trans. Circuits Syst. Video Technol., vol. 6, no. 6, pp. 699-703, Dec. 1996.
18. K. N. Plataniotis, D. Androutsos, and A. N. Venetsanopoulos, "Color image processing using adaptive vector directional filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 45, no. 10, pp. 1414-1419, Oct. 1998.
19. B. Smolka, A. Chydzinski, K. Wojciechowski, K. N. Plataniotis, and A. N. Venetsanopoulos, "Self-adaptive algorithm for impulsive noise reduction in color images," Pattern Recognit., vol. 35, no. 8, pp. 1771-1784, Aug. 2002.
20. B. Smolka, R. Lukac, A. Chydzinski, K. N. Plataniotis, and K. Wojciechowski, "Fast adaptive similarity based impulse noise reduction filter," Real-Time Imag., vol. 9, no. 4, pp. 261-276, Aug. 2003.
21. E. S. Hore, B. Qiu, and H. R. Wu, "Prediction based image restoration using a multiple window configuration," Opt. Eng., vol. 41, no. 8, pp. 1-11, Aug. 2002.
22. Z. Ma and H. R. Wu, "A histogram based adaptive vector filter for color image restoration," in Proc. IEEE 4th Int. Pacific-Rim Conf. Inf., Commun., Signal Process. Multimedia, Singapore, Dec. 15-18, 2003, pp. 1A3.4.1-5.
23. R. S. Lin and Y. C. Hsueh, "Multichannel filtering by gradient information," Signal Process., vol. 80, no. 2, pp. 279-293, Feb. 2000.
24. C. Kenney, Y. Deng, B. S. Manjunath, and G. Hewer, "Peer group image enhancement," IEEE Trans. Image Process., vol. 6, no. 2, pp. 326-334, Feb. 2001.
25. M. Szczepanski, B. Smolka, K. N. Plataniotis, and A. N. Venetsanopoulos, "On the geodesic paths approach to color image filter," Signal Process., vol. 83, no. 6, pp. 1309-1342, Jun. 2003.
26. K. N. Plataniotis, D. Androutsos, and A. N. Venetsanopoulos, "Adaptive fuzzy systems for multichannel signal processing," Proc. IEEE, vol. 87, no. 9, pp. 1601-1622, Sep. 1999.
27. V. Chatzis and I. Pitas, "Fuzzy scalar and vector median filters based on fuzzy distances," IEEE Trans. Image Process., vol. 8, no. 5, pp. 731-734, May 1999.
28. H. H. Tsai and P. T. Yu, "Genetic-based fuzzy hybrid multichannel filters for color image restoration," Fuzzy Sets Syst., vol. 114, no. 9, pp. 203-224, Sep. 2000.
29. L. Khriji and M. Gabbouj, "Adaptive fuzzy order statistics-rational hybrid filters for color image processing," Fuzzy Sets Syst., vol. 128, no. 1, pp. 35-46, Mar. 2002.
30. B. Smolka, K. N. Plataniotis, and A. N. Venetsanopoulos, Nonlinear Signal and Image Provessing: Theory, Methods, and Applications. Boca Raton, FL: CRC, 2003, ch. Nonlinear techniques for color image processing, pp. 445-505.
31. E. S. Hore, B. Qiu, and H. R. Wu, "Improved color image vector filtering using fuzzy noise detection," Opt. Eng., vol. 42, no. 6, pp. 1656-1664, Jun. 2003.
32. L. Lucchese and S. K. Mitra, "A new class of chromatic filters for color image processing: Theory and applications," IEEE Trans. Image Process., vol. 13, no. 4, pp. 534-548, Apr. 2004.
33. R. Lukac, B. Smolka, K. Martin, K. N. Plataniotis, and A. N. Venetsanopoulos, "Vector filtering for color imaging," IEEE Signal Process. Mag., vol. 22, no. 1, pp. 74-86, Jan. 2005.
34. J. Astola and P. Kuosmanen, Fundamentals of Nolinear Digital Filtering. Boca Raton, FL: CRC, 1997.
35. L. Alparone, M. Barni, F. Bartolini, and R. Caldelli, "Regularization of optic flow estimates by means of weighted vector median filtering," IEEE Trans. Image Process., vol. 8, no. 10, pp. 1462-1467, Oct. 1999.
36. L. Lucat, P. Siohan, and D. Barba, "Adaptive and global optimization methods for weighted vector median filters," Signal Process.: Image Commun., vol. 17, no. 7, pp. 509-524, Aug. 2002.
37. R. Lukac, K. N. Plataniotis, B. Smolka, and A. N. Venetsanopoulos, "Weighted vector median optimization," in Proc. 4th EURASIP Conf. Video/Image Processing and Multimedia Communications, Jul. 2003, vol. 1, pp. 227-232.
38. R. M. Nosovsky, "Choice, similarity and the context theory of classification," J. Exp. Psych. Learn., Memory Cogn., vol. 10, pp. 104-114, Jan. 1984.
39. C. Kotropoulos and I. Pitas, "Adaptive LMS L-filter for noise suppression in image," IEEE Trans. Image Process., vol. 5, no. 12, pp. 1596-1609, Dec. 1996.
40. E. Abreu, M. Lightstone, S. K. Mitra, and K. Arakawa, "A new efficient approach for the removal of impulsive noise from highly corrupted images," IEEE Trans. Image Process., vol. 5, no. 6, pp. 1012-1025, Jun. 1996.
41. T. Chen and H. R. Wu, "Application of partition-based median type filters for suppressing noise in images," IEEE Trans. Image Process., vol. 10, no. 6, pp. 829-836, Jun. 2001.
42. A. K. Jain, Fundamentals of Digital Image Processing. Englewood Cliffs, N.J: Prentice-Hall, 1989.
43. J. C. Bezdek, Pattern Recoginition With Fuzzy Objective Function Algorithm. New York: Plenum, 1981.
44. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Norwell, MA: Kluwer, 1992.
45. K. E. Barner, A. M. Sarhan, and R. C. Hardie, "Partition-based weighted sum filters for image restoration," IEEE Trans. Image Process., vol. 8, no. 5, pp. 740-745, May 1999.
46. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numberical recipes in C. Cambridge, U.K.: Cambridge Univ. Press, 1999.
47. Z. Ma, H. R. Wu, and B. Qiu, "An structure adaptive hybrid vector filter for the restoration of digital color images," IEEE Trans. Image Process., vol. 14, no. 12, pp. 1900-2001, Dec. 2005.
48. M. Barni and V. Cappellini, "On the computational complexity of multivariate median filters," Signal Process., vol. 71, no. 1, pp. 45-54, Nov. 1998.
49. R. E. Blahut, Fast Algorithms for Digital Signal Processing. Reading, MA: Addison-Wesley, 1985.