NON-LOCAL FILTER FOR REMOVING A MIXTURE OF GAUSSIAN AND IMPULSE NOISES

Haijuan Hu, Bing Li, Quansheng Liu

Abstract

In this paper we first present two convergence theorems which give a theoretical justification of the Non-Local Means Filter. Based on these theorems, we propose a new filter, called Non-Local Mixed Filter, to remove a mixture of Gaussian and random impulse noises. This filter combines the essential ideas of the Trilateral Filter and the Non-Local Means Filter. It improves the Trilateral Filter and extends the Non-Local Means Filter. Our experiments show that the new filter generally outperforms two other recent proposed methods. A careful discussion and simple formulas are given for the choice of parameters for the proposed filter.

References

  1. Buades, A., Coll, B., and Morel, J. (2005). A review of image denoising algorithms, with a new one. Multiscale Model. Simul., 4(2):490-530.
  2. Chan, R., Hu, C., and Nikolova, M. (2004). An iterative procedure for removing random-valued impulse noise. Signal Processing Letters, IEEE, 11(12):921-924.
  3. Dabov, K., Foi, A., Katkovnik, V., and Egiazarian, K. (2007). Image denoising by sparse 3-D transformdomain collaborative filtering. IEEE Trans. Image Process., 16(8):2080-2095.
  4. Dong, Y., Chan, R., and Xu, S. (2007). A detection statistic for random-valued impulse noise. IEEE Trans. Image Process.,, 16(4):1112-1120.
  5. Duval, V., Aujol, J., and Gousseau, Y. (2011). A biasvariance approach for the nonlocal means. SIAM J. Imaging Sciences, 4:760-788.
  6. Elad, M. and Aharon, M. (2006). Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans. Image Process., 15(12):3736- 3745.
  7. Garnett, R., Huegerich, T., Chui, C., and He, W. (2005). A universal noise removal algorithm with an impulse detector. IEEE Trans. Image Process., 14(11):1747- 1754.
  8. Kervrann, C. and Boulanger, J. (2006). Optimal spatial adaptation for patch-based image denoising. IEEE Trans. Image Process., 15(10):2866-2878.
  9. Li, B., Liu, Q., Xu, J., and Luo, X. (2011). A new method for removing mixed noises. SCIENCE CHINA Information Sciences, 54:51-59.
  10. Nikolova, M. (2004). A variational approach to remove outliers and impulse noise. J. Math. Imag. Vis., 20(1):99-120.
  11. Smith, S. and Brady, J. (1997). SUSANA new approach to low level image processing. Int. J. Com. Vis., 23(1):45-78.
  12. Tomasi, C. and Manduchi, R. (1998). Bilateral filtering for gray and color images. In Sixth International Conference on Computer Vision, pages 839-846. IEEE.
  13. Xiao, Y., Zeng, T., Yu, J., and Ng, M. (2011). Restoration of images corrupted by mixed gaussian-impulse noise via l sub (1-l) sub (0) minimization. Pattern Recognition, 44(8):1708-1720.
  14. Xu, H., Xu, J., and Wu, F. (2008). On the biased estimation of nonlocal means filter. In International Conference on Multimedia Computing and Systems/International Conference on Multimedia and Expo, pages 1149- 1152.
  15. Yang, J.-X. and Wu, H.-R. (2009). Mixed gaussian and uniform impulse noise analysis using robust estimation for digital images. Proceedings of the 16th International Conference on Digital Signal Processing, pages 468-472.
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Paper Citation


in Harvard Style

Hu H., Li B. and Liu Q. (2012). NON-LOCAL FILTER FOR REMOVING A MIXTURE OF GAUSSIAN AND IMPULSE NOISES . In Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2012) ISBN 978-989-8565-03-7, pages 145-150. DOI: 10.5220/0003864801450150


in Bibtex Style

@conference{visapp12,
author={Haijuan Hu and Bing Li and Quansheng Liu},
title={NON-LOCAL FILTER FOR REMOVING A MIXTURE OF GAUSSIAN AND IMPULSE NOISES},
booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2012)},
year={2012},
pages={145-150},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003864801450150},
isbn={978-989-8565-03-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2012)
TI - NON-LOCAL FILTER FOR REMOVING A MIXTURE OF GAUSSIAN AND IMPULSE NOISES
SN - 978-989-8565-03-7
AU - Hu H.
AU - Li B.
AU - Liu Q.
PY - 2012
SP - 145
EP - 150
DO - 10.5220/0003864801450150