Abstract

We propose a new method for image denoising combining wavelet transform and support vector machines (SVMs). A new image filter operator based on the least squares wavelet support vector machines (LS-WSVMs) is presented. Noisy image can be denoised through this filter operator and wavelet thresholding technique. Experimental results show that the proposed method is better than the existing SVM regression with the Gaussian radial basis function (RBF) and polynomial RBF. Meanwhile, it can achieve better performance than other traditional methods such as the average filter and median filter.

© 2007 Chinese Optics Letters

PDF Article

References

  • View by:
  • |
  • |

  1. S. G. Mallat, IEEE Trans. Pattern Analysis and Machine Intelligence 11, 674 (1989).
  2. T. T. Cai and B. W. Silverman, Sankhya B 63, 127 (2001).
  3. Q. Gao, Z. Sun, Z. Cao, and P. Cheng, Chin. Opt. Lett. 2, 113 (2004).
  4. H. Fang and D. Huang, Chin. Opt. Lett. 2, 1 (2004).
  5. V. N. Vapnik, The Nature of Statistical Learning Theory (2nd edn.) (Springer-Verlag, New York, 2000) p.174.
  6. J. A. K. Suykens and J. Vandewalle, Neural Processing Lett. 9, 293 (1999).
  7. L. Zhang, W. Zhou, and L. Jiao, IEEE Trans. System Man Cybern. B 34, 34 (2004).
  8. T. T. Cai, Statist. Sin. 12, 1241 (2002).
  9. G. Y. Chen, T. D. Bui, and A. Krzyzak, Digital Object Identifier 2, 917 (2004).
  10. H. Liu, Y. Guo, and G. Zheng, in Proceedings of the 6th World Congress on Intelligent Control and Automation (in Chinese) 4180 (2006).

2004 (4)

Q. Gao, Z. Sun, Z. Cao, and P. Cheng, Chin. Opt. Lett. 2, 113 (2004).

H. Fang and D. Huang, Chin. Opt. Lett. 2, 1 (2004).

L. Zhang, W. Zhou, and L. Jiao, IEEE Trans. System Man Cybern. B 34, 34 (2004).

G. Y. Chen, T. D. Bui, and A. Krzyzak, Digital Object Identifier 2, 917 (2004).

2002 (1)

T. T. Cai, Statist. Sin. 12, 1241 (2002).

2001 (1)

T. T. Cai and B. W. Silverman, Sankhya B 63, 127 (2001).

1999 (1)

J. A. K. Suykens and J. Vandewalle, Neural Processing Lett. 9, 293 (1999).

1989 (1)

S. G. Mallat, IEEE Trans. Pattern Analysis and Machine Intelligence 11, 674 (1989).

Chin. Opt. Lett. (2)

Digital Object Identifier (1)

G. Y. Chen, T. D. Bui, and A. Krzyzak, Digital Object Identifier 2, 917 (2004).

IEEE Trans. Pattern Analysis and Machine Intelligence (1)

S. G. Mallat, IEEE Trans. Pattern Analysis and Machine Intelligence 11, 674 (1989).

IEEE Trans. System Man Cybern. B (1)

L. Zhang, W. Zhou, and L. Jiao, IEEE Trans. System Man Cybern. B 34, 34 (2004).

Neural Processing Lett. (1)

J. A. K. Suykens and J. Vandewalle, Neural Processing Lett. 9, 293 (1999).

Sankhya B (1)

T. T. Cai and B. W. Silverman, Sankhya B 63, 127 (2001).

Statist. Sin. (1)

T. T. Cai, Statist. Sin. 12, 1241 (2002).

Other (2)

H. Liu, Y. Guo, and G. Zheng, in Proceedings of the 6th World Congress on Intelligent Control and Automation (in Chinese) 4180 (2006).

V. N. Vapnik, The Nature of Statistical Learning Theory (2nd edn.) (Springer-Verlag, New York, 2000) p.174.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.