A fuzzy noise reduction method for color images

IEEE Transactions on Image Processing

Volumn 16, Issue 5, 2007, Pages 1425-1436

  Schulte, Stefan ^a   De Witte, Valé ^a   Kerre, Etienne E ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Additive noise; Color images; Fuzzy filter; Noise reduction

Indexed keywords

ADDITIVE NOISE; COLOR; EDGE DETECTION; FUZZY CONTROL; NOISE ABATEMENT; PIXELS;

DIGITAL COLOR IMAGES; FUZZY FILTER;

COLOR IMAGE PROCESSING;

ALGORITHM; ARTICLE; ARTIFACT; COLOR; COLORIMETRY; COMPUTER ASSISTED DIAGNOSIS; FUZZY LOGIC; IMAGE ENHANCEMENT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ARTIFACTS; COLOR; COLORIMETRY; FUZZY LOGIC; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 34247365902     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.891807     Document Type: Article

References (51)

1. E. E. Kerre, Fuzzy Sets and Approximate Reasoning. Xian, China: Xian Jiaotong Univ. Press, 1998.
2. H. R. Tizhoosh, Fuzzy-Bildverarbeitung: Einfhrung in Theorie und Praxis. Heidelberg, Germany: Springer-Verlag, 1997.
3. F. Farbiz, M. B. Menhaj, and S. A. Motamedi, "Edge preserving image filtering based on fuzzy logic," in Proc. 6th EUFIT Conf., 1998, pp. 1417-1421.
4. F. Farbiz and M. B. Menhaj, "A fuzzy logic control based approch for image filtering," in Fuzzy Tech. Image Process., E. E. Kerre and M. Nachtegael, Eds., 1st ed. Heidelberg, Germany: Physica Verlag, 2000, vol. 52, pp. 194-221.
5. D. Van De Ville, M. Nachtegael, D. Van der Weken, W. Philips, I. Lemahieu, and E. E. Kerre, "A new fuzzy filter for Gaussian noise reduction," in Proc. SPIE Vis. Commun. Image Process., 2001, pp. 1-9.
6. D. Van De Ville, M. Nachtegael, D. Van der Weken, E. E. Kerre, and W. Philips, "Noise reduction by fuzzy image filtering," IEEE Trans. Fuzzy Syst., vol. 11, no. 8, pp. 429-436, Aug. 2003.
7. M. Nachtegael, S. Schulte, D. Van der Weken, V. De Witte, and E. E. Kerre, "Fuzzy filters for noise reduction: The case of Gaussian noise," in Proc. IEEE Int. Conf. Fuzzy Systems, 2005, pp. 201-206.
8. S. Schulte, B. Huysmans, A. Pižurica, E. E. Kerre, and W. Philips, "A new fuzzy-based wavelet shrinkage image denoising technique," Lecture Notes Comput. Sci., vol. 4179, pp. 12-23, 2006.
9. H. L. Resnikoff and R. O. Wells, Wavelet Analysis: The Scalable Structure of Information. New York: Springer-Verlag, 1998.
10. D. Donoho, "Denoising by soft-thresholding," IEEE Trans. Inf. Theory, vol. 41, no. 3, pp. 613-627, May 1995.
11. D. Donoho and I. Johnstone, "Adapting to unknown smoothness via wavelet shrinkage," J. Amer. Statist. Assoc., vol. 90, pp. 1200-1224, 1995.
12. S. Chang, B. Yu, and M. Vetterli, "Adaptive wavelet thresholding for image denoising and compression," IEEE Trans. Image Process., vol. 9, no. 9, pp. 1532-1546, Sep. 2000.
13. M. Hansen and B. Yu, "Wavelet thresholding via mdl for natural images," IEEE Trans. Inf. Theory, vol. 46, no. 5, pp. 1778-1788, Aug. 2000.
14. E. Simoncelli and E. Adelson, "Noise removal via Bayesian wavelet coring," in Proc. IEEE Int. Conf. Image Processing, 1996, pp. 379-382.
15. P. Moulin and J. Liu, "Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors," IEEE Trans. Inf. Theory, vol. 45, no. 3, pp. 909-919, Apr. 1999.
16. A. Pižurica, W. Philips, I. Lemahieu, and M. Acheroy, "A joint interand intrascale statistical model for Bayesian wavelet based image denoising," IEEE Trans. Image Process., vol. 11, no. 5, pp. 545-557, May 2002.
17. J. Portilla, V. Strela, M. Wainwright, and E. Simoncelli, "Image denoising using Gaussian scale mixtures in the wavelet domain," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1338-1351, Nov. 2003.
18. J. Portilla and E. Simoncelli, "Image restoration using Gaussian scale mixtures in the wavelet domain," in Proc. IEEE Int. Conf. Image Processing, 2003, pp. 965-968.
19. B. Vidakovic, "Nonlinearwavelet shrinkage with bayes rules and bayes factors," J. Amer. Statist. Assoc., vol. 93, pp. 173-179, 1998.
20. H. Chipman, E. Kolaczyk, and R. McCulloch, "Adaptive Bayesian wavelet shrinkage," J. Amer. Statist. Assoc., vol. 92, pp. 1413-1421, 1997.
21. L. Şendur and I. W. Selesnick, "Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2744-2756, Nov. 2002.
22. L. Şendur and I. W. Selesnick, "Subband adaptive image denoising via bivariate shrinkage," in Proc. IEEE Int. Conf. Image Processing, 2002, pp. 577-580.
23. M. Crouse, R. Nowak, and R. Baranuik, "Wavelet-based statistical signal processing using hidden Markov models," IEEE Trans. Signal Process. vol. 46, no. 4, pp. 886-902, Apr. 1998.
24. J. Romberg, H. Choi, and R. Baraniuk, "Bayesian tree-structured image modeling using wavelet-domain hidden Markov models," IEEE Trans. Image Process., vol. 10, no. 7, pp. 1056-1068, Jul. 2001.
25. M. Malfait and D. Roose, "Wavelet-based image denoising using a Markov random field a priori models," IEEE Trans. Image Process., vol. 6, no. 4, pp. 549-565, Apr. 1997.
26. M. Jansen and A. Bultheel, "Empirical bayes approach to improve wavelet thresholding for image noise reduction," J. Amer. Statist. Assoc. vol. 96, pp. 629-639, 2001.
27. M. Mihcak, I. Kozintsev, K. Ramchandran, and P. Moulin, "Low complexity image denoising based on statistical modeling of wavelet coefficients," IEEE Signal Process. Lett., vol. 6, no. 12, pp. 300-303, Dec. 1999.
28. A. Piz̧urica and W. Philips, "Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising," IEEE Trans. Image Process., vol. 15, no. 3, pp. 654-665, Mar. 2006.
29. G. Fan and X. Xia, "Image denoising using local contextual hidden Markov model in the wavelet domain," IEEE Signal Process. Lett., vol. 8, no. 5, pp. 125-128, May 2001.
30. G. Fan and X. Xia, "Improved hidden Markov models in the wavelet domain," IEEE Trans. Signal Process., vol. 49, no. 1, pp. 115-120, Jan. 2001.
31. C. Vertan and V. Buzuloiu, "Fuzzy nonlinear filtering of color images," in Fuzzy Techniques in Image Processing, E. E. Kerre and M. Nachtegael, Eds., 1st ed. Heidelberg, Germany: Physica Verlag, 2000, vol. 52, pp. 248-264.
32. D. Androutsos, K. N. Plataniotis, and A. N. Venetsanopoulos, "Colour image processing using vector rank filter," in Proc. Int. Conf. Digital Signal Processing, 1998, pp. 614-619.
33. S. M. Guo, C. S. Lee, and C. Y. Hsu, "An intelligent image agent based on soft-computing techniques for color image processing," Expert Syst. Appl., vol. 28, pp. 483-494, Apr. 2005.
34. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan. 1985.
35. L. A. Zadeh, "Fuzzy sets," Inf. Control, vol. 8, no. 3, pp. 338-353, 1965.
36. L. A. Zadeh, "Fuzzy logic and its application to approximate reasoning," Inf. Process., vol. 74, pp. 591-594, 1973.
37. C. Cornelis, G. Deschrijver, and E. E. Kerre, "Classification of intuitionistic fuzzy implicators: An algebraic approch," in Proc. 6th Joint Conf. Information Sciences, 2002, pp. 105-108.
38. K. Arakawa, "Median filter based on fuzzy rules and its application to image restoration," Fuzzy Sets Syst., vol. 77, pp. 3-13, Jan. 1996.
39. K. Arakawa, "Fuzzy rule-based image processing with optimization," in Fuzzy Techniques in Image Processing E. E. Kerre and M. Nachtegael, Eds., 1st ed. Heidelberg, Germany: Physica Verlag, 2000, vol. 52, pp. 222-247.
40. H. K. Kwan, "Fuzzy filters for noise reduction in images," in Fuzzy Filters for Image Processing, M. Nachtegael, D. Van der Weken, D. Van De Ville, and E. E. Kerre, Eds., 1st ed. Heidelberg, Germany: Physica Verlag, 2003, vol. 122, pp. 25-53.
41. H. K. Kwan and Y. Cai, "Fuzzy filters for image filtering," in Proc. MWSCAS 45th Midwest Symp. Circuits and Systems, 2002, pp. III-672-5.
42. I. Kalaykov and G. Tolt, "Real-time image noise cancellation based on fuzzy similarity," in Fuzzy Filters for Image Processing, M. Nachtegael, D. Van der Weken, D. Van De Ville, and E. E. Kerre, Eds., 1st ed. Heidelberg, Germany: Physica Verlag, 2003, vol. 122, pp. 54-71.
43. S. Schulte, V. De Witte, M. Nachtegael, D. Van der Weken, and E. E. Kerre, "Fuzzy random impulse noise reduction method," Fuzzy Sets Syst., vol. 158, no. 3, pp. 270-283, 2006.
44. S. Morillas, V. Gregori, and A. Sapena, "Fuzzy bilateral filtering for color images," Lecture Notes Comput. Sci., vol. 4141, pp. 138-145, 2006.
45. C. Tomasi and R. Manduchi, "Bilateral filtering for gray and color images," in Proc. 6th IEEE Int. Conf. Computer Vision, 1998, pp. 839-846.
46. K. Hirakawa and T. W. Parks, "Image denoising for signal-dependent noise," in Proc. IEEE Acoustics, Speech, Signal Process., 2005, pp. 18-23.
47. J. K. Romberg, H. Choi, R. G. Baraniuk, and N. Kingbury, "Multiscale classification using complexwavelets and hidden Markov tree models," in Proc. IEEE Int. Conf. Image Processing, 2000, pp. 371-374.
48. K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising with block-matching and 3D filtering," in Proc. SPIE Electronic Imaging: Algorithms and Systems, Neural Networks, and Machine Learning 2006, pp. 354-365.
49. 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. 534-543, Apr. 2004.
50. G. Gilboa, Y. Y. Zeevi, and N. A. Sochen, "Complex diffusion processes for image filtering," Lecture Notes Computer Science, vol. 2106, pp. 299-307, 2001.
51. R. C. Gonzalez and R. E.Woods, Digital Image Processing. Reading, MA: Addison Wesley, 2002.