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Image Denoising Based on Sparse Representation over Learned Dictionaries

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Cyberspace Safety and Security (CSS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11983))

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Abstract

Image is an important carrier of information, but the existence of noise will affect the quality and efficiency of information interaction. Image denoising is a classical problem in image processing, in order to improve the denoising effect, we proposed a method based on improved K-SVD algorithm. First, the high frequency and low frequency of the original noisy image are separated. Besides, the improved K-SVD algorithm is used for sparse reconstruction of the high frequency part of the image. Finally, the denoised high frequency part and the low frequency part are superimposed to make the final clean image. The experiments show that this method can achieve better denoising effect compared with DCT based denoising algorithm, K-SVD algorithm and LC-KSVD model.

This work was supported in part by the National Natural Science Foundation of China under Grant 11862006, Grant 61862025, in part by the Jiangxi Provincial Natural Science Foundation under Grant 2018ACB21032, 20181BAB211016, in part by the Scientific and Technological Research Project of Education Department in Jiangxi Province under Grant GJJ170381, Grant GJJ170383.

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References

  1. Liu, Y., Wang, Z.: Simultaneous image fusion and denoising with adaptive sparse representation. Image Process. IET 9(5), 347–357 (2014)

    Article  Google Scholar 

  2. Guo, D.Q., Yang, H.Y., Liu, D.Q., et al.: Overview on sparse image denoising. Appl. Res. Comput. 29, 406–413 (2012)

    Google Scholar 

  3. Zhang, L., Zhou, W., Chang, P.: Kernel sparse representation-based classifier. IEEE Trans. Signal Process. 60(4), 1684–1695 (2012)

    Article  MathSciNet  Google Scholar 

  4. Wang, J., Cai, J.F., Shi, Y., et al.: Incoherent dictionary learning for sparse representation based image denoising. In: IEEE International Conference on Image Processing. IEEE (2015)

    Google Scholar 

  5. Aharon, M., Elad, M., Bruckstein, A.: K-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation. IEEE Press, Piscataway (2006)

    MATH  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  7. Kong, Y.H., Hu, Q.Y.: An image denoising algorithm via sparse and redundant representations over improved K-singular value decomposition algorithm. Sci. Technol. Eng. 18(1), 287–292 (2018)

    Google Scholar 

  8. Romano, Y., Elad, M.: Improving K-SVD denoising by post-processing its method-noise. In: IEEE International Conference on Image Processing. IEEE (2014)

    Google Scholar 

  9. Shi, J., Wang, X.H.: Image super-resolution reconstruction based on improved K-SVD dictionary-learning. Acta Electron. Sin. 41(5), 997–1000 (2013)

    Google Scholar 

  10. Niu, B., Li, H.Y.: Research on low dictionary coherence K-SVD algorithm. Comput. Digit. Eng. 47(01), 97–103 (2019)

    Google Scholar 

  11. Tan, C., Wei, Z.H., Wu, Z.B., et al.: Parallel optimization of K-SVD algorithm for image denoising based on Spark. In: 2016 IEEE 13th International Conference on Signal Processing (ICSP). IEEE (2017)

    Google Scholar 

  12. Wang, X.Y.: The Research of Sparse Decomposition in the Field of Image Denoising. Anhui University (2014)

    Google Scholar 

  13. Huang, H F. Research on Methods and Applications of Digital Image Sparse Representation. South China University of Technology (2016)

    Google Scholar 

  14. Wu, D., Du, X., Wang, K.Y.: An effective approach for underwater sonar image denoising based on sparse representation, pp. 389–393. https://doi.org/10.1109/icivc.2018.8492877

  15. Jing, C.M., Xiao, L.: An improved image enhancement algorithm. Wuhan Univ. J. Nat. Sci. 22(1), 85–92 (2017)

    Article  Google Scholar 

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Correspondence to Yuejin Zhang .

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Wang, J. et al. (2019). Image Denoising Based on Sparse Representation over Learned Dictionaries. In: Vaidya, J., Zhang, X., Li, J. (eds) Cyberspace Safety and Security. CSS 2019. Lecture Notes in Computer Science(), vol 11983. Springer, Cham. https://doi.org/10.1007/978-3-030-37352-8_41

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  • DOI: https://doi.org/10.1007/978-3-030-37352-8_41

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-37351-1

  • Online ISBN: 978-3-030-37352-8

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