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Image denoising via patch-based adaptive Gaussian mixture prior method

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Abstract

Although the expected patch log likelihood (EPLL) achieves good performance for denoising, an inherent nonadaptive problem exists. To solve this problem, an adaptive learning is introduced into the EPLL in this paper. Inspired from the structured sparse dictionary, an adaptive Gaussian mixture model (GMM) is proposed based on patch priors. The maximum a posteriori estimation is employed to cluster and update the image patches. Also, the new image patches are used to update the GMM. We perform these two steps alternately until the desired denoised results are achieved. Experimental results show that the proposed denoising method outperforms the existing image denoising algorithms.

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References

  1. Elad, M., Aharon, M.: Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans. Image Process. 15(12), 3736–3745 (2006)

  2. Elad, M., Aharon, M.: Image denoising via learned dictionaries and sparse representation. Comput. Vis. Pattern Recognit. 1, 895–900 (2006)

    Google Scholar 

  3. Mairal, J., Elad, M., Sapiro, G.: Sparse representation for color image restoration. IEEE Trans. Image Process. 17(1), 53–69 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. www.cs.tut.fi/~foi/GCF-BM3D/

  5. Zontak, M., Mosseri, I., Irani, M.: Separating signal from noise using patch recurrence across scales. In: IEEE Conference on Computer Vision Pattern Recognition (CVPR), pp. 1195–1202 (2013)

  6. Yu, G., Sapiro, G., Mallat, S.: Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. IEEE Trans. Image Process. 21(5), 2481–2499 (2012)

    Article  MathSciNet  Google Scholar 

  7. Wang, Y.Q.: The implementation of SURE guided piecewise linear image denoising. Image Process. On Line 2013, 43–67 (2013)

    Article  Google Scholar 

  8. Zoran, D., Weiss, Y.: From learning models of natural image patches to whole image restoration. In: IEEE International Conference on Computer Vision (ICCV), pp. 479–486 (2011)

  9. Gemanand, D., Yang, C.: Nonlinear image recovery with half-quadratic regularization. IEEE Trans. Image Process. 4(7), 932–946 (2002)

    Article  Google Scholar 

  10. Krishnan, D., Fergus, R.: Fast image deconvolution using hyper-Laplacian priors. Adv. Neural Inf. Process. Syst. 22, 1033–1041 (2009)

    Google Scholar 

  11. Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: 6th international conference on computer vision, ICCV, pp. 839–846 (1998)

  12. Buades, A., Coll, B.: A non-local algorithm for image denoising. Comput. Vis. Pattern Recognit. CVPR 2, 60–65 (2005)

    Google Scholar 

  13. Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: 8th international conference on computer vision, ICCV, vol. 2, pp. 416–423 (2001)

  14. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 4(4), 600–612 (2004)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61001179, 61372173, and 61201393), the Natural Science Foundation of Guangdong Province, China (No. S2011040004079), and the Project on Integration of Production, Education and Research, Guangdong Province, and Ministry of Education, China (No. 2012B091100424).

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Correspondence to Bingo Wing-Kuen Ling.

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Cai, N., Zhou, Y., Wang, S. et al. Image denoising via patch-based adaptive Gaussian mixture prior method. SIViP 10, 993–999 (2016). https://doi.org/10.1007/s11760-015-0850-9

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  • DOI: https://doi.org/10.1007/s11760-015-0850-9

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