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A Flexible Statistical Model for Image Denoising

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Image Analysis and Recognition (ICIAR 2018)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10882))

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Abstract

In this paper, we examine an important problem in the context of image processing which is image denoising. Although conventional Gaussian distributions have been widely used, they fail to fit the shape of heavy-tailed data produced by the presence of noise. In this paper, we propose an unsupervised algorithm based on finite mixtures of bounded generalized Gaussian distributions (BGGMD) to achieve smooth denoising results. The proposed framework has the flexibility to fit different shapes of observed data and bounded support data in the case of noisy images. Experimental results demonstrate that the proposed method has superior performance than some conventional approaches.

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References

  1. Cao, Y., Luo, Y., Yang, S.: Image denoising with gaussian mixture model. In: Image and Signal Processing, 2008, CISP 2008, Congress on, vol. 3, pp. 339–343 (2008)

    Google Scholar 

  2. Channoufi, I., Bourouis, S., Bouguila, N., Hamrouni, K.: Color image segmentation with bounded generalized gaussian mixture model and feature selection. In: 4th International Conference on Advanced Technologies for Signal and Image Processing (ATSIP’2018) (2018)

    Google Scholar 

  3. Cho, D., Bui, T.D.: Multivariate statistical approach for image denoising. In: IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. Proceedings, (ICASSP 2005), vol. 4, p. iv-589 (2005)

    Google Scholar 

  4. Cong-Hua, X., Jin-Yi, C., Wen-Bin, X.: Medical image denoising by generalised gaussian mixture modelling with edge information. IET Image Process. 8(8), 464–476 (2014)

    Article  Google Scholar 

  5. Elguebaly, T., Bouguila, N.: Bayesian learning of generalized gaussian mixture models on biomedical images. In: Schwenker, F., El Gayar, N. (eds.) ANNPR 2010. LNCS (LNAI), vol. 5998, pp. 207–218. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-12159-3_19

    Chapter  Google Scholar 

  6. Fan, W., Sallay, H., Bouguila, N., Bourouis, S.: A hierarchical dirichlet process mixture of generalized dirichlet distributions for feature selection. Comput. Electr. Eng. 43, 48–65 (2015)

    Article  Google Scholar 

  7. Goossens, B., Pizurica, A., Philips, W.: Image denoising using mixtures of projected gaussian scale mixtures. IEEE Trans. Image Process. 8(8), 1689–1702 (2009)

    Article  MathSciNet  Google Scholar 

  8. Hotz, T., Marnitz, P., Stichtenoth, R., Davies, L., Kabluchko, Z., Munk, A.: Locally adaptive image denoising by a statistical multiresolution criterion. Comput. Stat. Data Anal. 56(3), 543–558 (2012)

    MathSciNet  MATH  Google Scholar 

  9. Lindblom, J., Samuelsson, J.: Bounded support gaussian mixture modeling of speech spectra. IEEE Trans. Speech Audio Process. 11(1), 88–99 (2003)

    Article  Google Scholar 

  10. López-Rubio, E., Florentín-Núñez, M.N.: Kernel regression based feature extraction for 3D MR image denoising. Med. Image Anal. 15(4), 498–513 (2011)

    Article  Google Scholar 

  11. Meignen, S., Meignen, H.: On the modeling of small sample distributions with generalized gaussian density in a maximum likelihood framework. IEEE Trans. Image Process. 15(6), 1647–1652 (2006)

    Article  MathSciNet  Google Scholar 

  12. Najar, F., Bourouis, S., Bouguila, N., Belghith, S.: A fixed-point estimation algorithm for learning the multivariate GGMM: application to human action recognition. In: 31st IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2018) (2018)

    Google Scholar 

  13. Najar, F., Bourouis, S., Bouguila, N., Belguith, S.: A comparison between different gaussian-based mixture models. In: 14th IEEE International Conference on Computer Systems and Applications, Tunisia. IEEE (2017)

    Google Scholar 

  14. Nguyen, T.M., Wu, Q.J., Zhang, H.: Bounded generalized gaussian mixture model. Pattern Recogn. 47(9), 3132–3142 (2014)

    Article  Google Scholar 

  15. Pi, M.: Improve maximum likelihood estimation for subband GGD parameters. Pattern Recogn. Lett. 27(14), 1710–1713 (2006)

    Article  Google Scholar 

  16. Portilla, J., Strela, V., Wainwright, M.J., Simoncelli, E.P.: Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Trans. on Image process. 12(11), 1338–1351 (2003)

    Article  MathSciNet  Google Scholar 

  17. Rajni, R., Anutam, A.: Image denoising techniques-an overview. Int. J. Comput. Appl. 86(16), 13–17 (2014)

    Google Scholar 

  18. Rajpoot, N., Butt, I.: A multiresolution framework for local similarity based image denoising. Pattern Recogn. 45(8), 2938–2951 (2012)

    Article  Google Scholar 

  19. Sattar, F., Floreby, L., Salomonsson, G., Lovstrom, B.: Image enhancement based on a nonlinear multiscale method. IEEE Trans. Image Process. 6(6), 888–895 (1997)

    Article  Google Scholar 

  20. Scheunders, P., De Backer, S.: Wavelet denoising of multicomponent images using gaussian scale mixture models and a noise-free image as priors. IEEE Trans. on Image Process. 16(7), 1865–1872 (2007)

    Article  MathSciNet  Google Scholar 

  21. Yang, H.Y., Wang, X.Y., Qu, T.X., Fu, Z.K.: Image denoising using bilateral filter and gaussian scale mixtures in shiftable complex directional pyramid domain. Comput. Electr. Eng. 37(5), 656–668 (2011)

    Article  Google Scholar 

  22. Zhang, R., Bouman, C.A., Thibault, J.B., Sauer, K.D.: Gaussian mixture markov random field for image denoising and reconstruction. In: Global Conference on Signal and Information Processing (GlobalSIP), 2013 IEEE, pp. 1089–1092 (2013)

    Google Scholar 

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Correspondence to Sami Bourouis .

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Channoufi, I., Bourouis, S., Bouguila, N., Hamrouni, K. (2018). A Flexible Statistical Model for Image Denoising. In: Campilho, A., Karray, F., ter Haar Romeny, B. (eds) Image Analysis and Recognition. ICIAR 2018. Lecture Notes in Computer Science(), vol 10882. Springer, Cham. https://doi.org/10.1007/978-3-319-93000-8_4

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  • DOI: https://doi.org/10.1007/978-3-319-93000-8_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92999-6

  • Online ISBN: 978-3-319-93000-8

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