Skip to main content

A Graph-Regularized Non-local Hyperspectral Image Denoising Method

  • Conference paper
  • First Online:
Geometry and Vision (ISGV 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1386))

Included in the following conference series:

Abstract

A lot of hyperspectral images (HSIs) are corrupted by noises when they are captured. Noise removal is an essential pre-processing for the noisy HSIs. Though denoising algorithms for common (grayscale or RGB) images have been studied for decades, HSIs have their inherent characteristics, so denoising algorithms for HSIs need to be specially designed. In this work, we have developed a non-local denoising algorithm for HSIs based on multi-task graph-regularized sparse nonnegative matrix factorization (MTGSNMF). MTGSNMF delivers noise removal in both spatial and spectral views. In spatial view, patch-based sparse recovery is performed by sparse nonnegative matrix factorization (SNMF), which conducts noise suppression and local pattern preservation. Graph regularization is imposed on the SNMF model for maintaining the non-local similarities between patches. In spectral view, spectral structure is extracted by multi-task learning, i.e., denoising tasks of different bands are bound by sharing the same coefficient matrix. By exploiting the non-local similarity in spatial view and spectral structure in spectral view, MTGSNMF achieves superior denoising performance on HSI datasets.

Supported partly by the National Natural Science Foundation of China (grant numbers 61701468 and 62071421), and partly by the National Key Research and Development Program of China (grant number 2018YFB0505000).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    The code of BM4D is available at https://www.cs.tut.fi/~foi/GCF-BM3D/BM4D_v3p2.zip.

  2. 2.

    The code of NLMF is available at https://www.mathworks.com/matlabcentral/fileexchange/27395-fast-non-local-means-1d-2d-color-and-3d.

  3. 3.

    The code of NGmeet is available at https://github.com/quanmingyao/NGMeet.

  4. 4.

    The code of the proposed MTGSNMF is available at https://github.com/yeminchao/MTGSNMF.

References

  1. Aggarwal, H.K., Majumdar, A.: Hyperspectral image denoising using spatio-spectral total variation. IEEE Geosci. Remote Sens. Lett. 13(3), 442–446 (2016)

    Google Scholar 

  2. Bioucas-Dias, J.M., Nascimento, J.M.P.: Hyperspectral subspace identification. IEEE Trans. Geosci. Remote Sens. 46(8), 2435–2445 (2008)

    Article  Google Scholar 

  3. Buades, A., Coll, B., Morel, J.: A non-local algorithm for image denoising. In: Proceedings of IEEE/CVF Conference on Computer Vision and Pattern Recognition, vol. 2, pp. 60–65 (2005)

    Google Scholar 

  4. Cai, D., He, X., Han, J., Huang, T.S.: Graph regularized nonnegative matrix factorization for data representation. IEEE Trans. Pattern Anal. Mach. Intell. 33(8), 1548–1560 (2011)

    Article  Google Scholar 

  5. Camps-Valls, G., Bruzzone, L.: Kernel-based methods for hyperspectral image classification. IEEE Trans. Geosci. Remote Sens. 43(6), 1351–1362 (2005)

    Article  Google Scholar 

  6. Chen, H., Ye, M., Lu, H., Lei, L., Qian, Y.: Dual dictionary learning for mining a unified feature subspace between different hyperspectral image scenes. In: Proceedings of IEEE International Geoscience and Remote Sensing Symposium, pp. 1096–1099 (2019)

    Google Scholar 

  7. Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3-D transform-domain collaborative filtering. IEEE Trans. Image Process. 16(8), 2080–2095 (2007)

    Article  MathSciNet  Google Scholar 

  8. Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising with block-matching and 3D filtering. In: Proceedings of SPIE, Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, pp. 354–365 (2006)

    Google Scholar 

  9. Dian, R., Fang, L., Li, S.: Hyperspectral image super-resolution via non-local sparse tensor factorization. In: Proceedings of IEEE/CVF Conference on Computer Vision and Pattern Recognition (2017)

    Google Scholar 

  10. He, W., Yao, Q., Li, C., Yokoya, N., Zhao, Q.: Non-local meets global: an integrated paradigm for hyperspectral denoising. In: Proceedings of IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 6861–6870 (2019)

    Google Scholar 

  11. Jia, S., Ji, Z., Qian, Y., Shen, L.: Unsupervised band selection for hyperspectral imagery classification without manual band removal. IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens. 5(2), 531–543 (2012)

    Article  Google Scholar 

  12. Li, J., Yuan, Q., Shen, H., Zhang, L.: Hyperspectral image recovery employing a multidimensional nonlocal total variation model. Signal Process 111, 230–248 (2015)

    Article  Google Scholar 

  13. Maggioni, M., Katkovnik, V., Egiazarian, K., Foi, A.: Nonlocal transform-domain filter for volumetric data denoising and reconstruction. IEEE Trans. Image Process. 22(1), 119–133 (2013)

    Article  MathSciNet  Google Scholar 

  14. Mairal, J., Bach, F., Ponce, J., Sapiro, G., Zisserman, A.: Non-local sparse models for image restoration. In: Proceedings of IEEE International Conference On Computer Vision, pp. 2272–2279 (2009)

    Google Scholar 

  15. Qian, Y., Shen, Y., Ye, M., Wang, Q.: 3-D nonlocal means filter with noise estimation for hyperspectral imagery denoising. In: Proceedings of IEEE International Geoscience and Remote Sensing Symposium, pp. 1345–1348 (2012)

    Google Scholar 

  16. Qian, Y., Ye, M.: Hyperspectral imagery restoration using nonlocal spectral-spatial structured sparse representation with noise estimation. IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens. 6(2), 499–515 (2013)

    Article  Google Scholar 

  17. Xiong, F., Zhou, J., Qian, Y.: Hyperspectral restoration via \(l_0\) gradient regularized low-rank tensor factorization. IEEE Trans. Geosci. Remote Sens. 57(12), 10410–10425 (2019)

    Article  Google Scholar 

  18. Xu, P., Chen, B., Xue, L., Zhang, J., Zhu, L., Duan, H.: A new MNF-BM4D denoising algorithm based on guided filtering for hyperspectral images. ISA Trans. 92, 315–324 (2019)

    Article  Google Scholar 

  19. Ye, M., Qian, Y., Zhou, J.: Multitask sparse nonnegative matrix factorization for joint spectral-spatial hyperspectral imagery denoising. IEEE Trans. Geosci. Remote Sens. 53(5), 2621–2639 (2015)

    Article  Google Scholar 

  20. Ye, M., Chen, H., Ji, C., Lei, L., Qian, Y.: Spectral-spatial joint noise estimation for hyperspectral images. In: Proceedings of International Geoscience and Remote Sensing Symposium, pp. 230–233 (2019)

    Google Scholar 

  21. Ye, M., Zheng, W., Lu, H., Zeng, X., Qian, Y.: Cross-scene hyperspectral image classification based on DWT and manifold-constrained subspace learning. Int. J. Wavelets Multiresolut. Inf. Process. 15(06), 1750062 (2017)

    Article  MathSciNet  Google Scholar 

  22. Zhang, H., Li, J., Huang, Y., Zhang, L.: A nonlocal weighted joint sparse representation classification method for hyperspectral imagery. IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens. 7(6), 2056–2065 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Minchao Ye .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lei, L., Huang, B., Ye, M., Chen, H., Qian, Y. (2021). A Graph-Regularized Non-local Hyperspectral Image Denoising Method. In: Nguyen, M., Yan, W.Q., Ho, H. (eds) Geometry and Vision. ISGV 2021. Communications in Computer and Information Science, vol 1386. Springer, Cham. https://doi.org/10.1007/978-3-030-72073-5_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-72073-5_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-72072-8

  • Online ISBN: 978-3-030-72073-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics