Skip to main content

Latent Feature Representation-Based Low Rank Subspace Clustering for Hyperspectral Band Selection

  • Conference paper
  • First Online:
Pattern Recognition and Computer Vision (PRCV 2024)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 15043))

Included in the following conference series:

  • 146 Accesses

Abstract

Subspace clustering has become increasingly popular in recent years and has shown great success in hyperspectral band selection (BS). However, traditional subspace clustering model and its variants are inadequate in expressing the fine spatial structure information and long-range correlations of the samples. Therefore, this paper proposes a latent feature representation-based low rank subspace clustering model for BS. It employs entropy rate superpixel segmentation to obtain the spatial structure of the image. Then, it extracts the key latent features of samples in each region by graph learning to jointly represent the original image, which can maximize the retention of key information while reducing noise and data dimensionality. Additionally, considering the short-range and long-range correlations of samples, a sample-spatial structure constraint is constructed to enhance the spatial relationship of similar samples between homogeneous and heterogeneous regions, and rectify the errors in sample feature caused by the inaccurate segmentation. This is advantageous for the subsequent clustering and BS. The effectiveness and stability of this method are confirmed by experiments on three datasets.

This work was supported in part by Qingdao Natural Science Foundation Grant 23-2-1-64-zyyd-jch, China Postdoctoral Science Foundation Grant 2023M731843, Postdoctoral Applied Research Foundation of Qingdao under Grant QDBSH20230101012, National Natural Science Foundation of China under Grant 42301380, Science and Technology Support Plan for Youth Innovation of Colleges and Universities of Shandong Province of China under Grant 2023KJ232.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu, C., Zhou, S., Song, M., Chang, C.-I.: Semisupervised hyperspectral band selection based on dual-constrained low-rank representation. IEEE Geosci. Remote Sens. Lett. 19, 1–5 (2022)

    MATH  Google Scholar 

  2. Shang, X., Cui, C., Sun, X.: Spectral-spatial hypergraph-regularized self-representation for hyperspectral band selection. IEEE Geosci. Remote Sens. Lett. 20, 1–5 (2023). https://doi.org/10.1109/LGRS.2023.3276055

  3. Xu, B., Li, X., Hou, W., Wang, Y., Wei, Y.: A similarity-based ranking method for hyperspectral band selection. IEEE Trans. Geosci. Remote Sens. 59, 9585–9599 (2021)

    Article  MATH  Google Scholar 

  4. Zhang, X., Jiang, X., Jiang, J., Zhang, Y., Liu, X., Cai, Z.: Spectral-spatial and superpixelwise PCA for unsupervised feature extraction of hyperspectral imagery. IEEE Trans. Geosci. Remote Sens. 60, 1–10 (2022)

    MATH  Google Scholar 

  5. Bandos, T.V., Bruzzone, L., Camps-Valls, G.: Classification of hyperspectral images with regularized linear discriminant analysis. IEEE Trans. Geosci. Remote Sens. 47, 862–873 (2009)

    Article  MATH  Google Scholar 

  6. Yu, C., Han, R., Song, M., Liu, C., Chang, C.-I.: Feedback attention-based dense CNN for hyperspectral image classification. IEEE Trans. Geosci. Remote Sens. 60, 1–16 (2022)

    MATH  Google Scholar 

  7. Zhai, H., Zhang, H., Zhang, L., Li, P.: Laplacian-regularized low-rank subspace clustering for hyperspectral image band selection. IEEE Trans. Geosci. Remote Sens. 57, 1723–1740 (2019)

    Article  MATH  Google Scholar 

  8. Fu, H., Zhang, A., Sun, G., Ren, J., Jia, X., Pan, Z., Ma, H.: A novel band selection and spatial noise reduction method for hyperspectral image classification. IEEE Trans. Geosci. Remote Sens. 60, 1–13 (2022)

    MATH  Google Scholar 

  9. Zhang, W., Yuan, A., Tang, J., Li, X.: Sparse principal component analysis and adaptive multigraph learning for hyperspectral band selection. IEEE J. Select. Top. Appl. Earth Observ. Remote Sens. 17, 1419–1433 (2024). https://doi.org/10.1109/JSTARS.2023.3335286

  10. Zhang, Y., Wang, X., Jiang, X., Zhou, Y.: Marginalized graph self-representation for unsupervised hyperspectral band selection. IEEE Trans. Geosci. Remote Sens. 60, 1–12 (2022)

    MATH  Google Scholar 

  11. Sun, W., Zhang, L., Du, B., Li, W., Mark Lai, Y.: Band selection using improved sparse subspace clustering for hyperspectral imagery classification. IEEE J. Select. Top. Appl. Earth Observ. Remote Sens. 8, 2784–2797 (2015)

    Article  MATH  Google Scholar 

  12. Liu, G., Lin, Z., Yan, S., Sun, J., Yu, Y., Ma, Y.: Robust recovery of subspace structures by low-rank representation. IEEE Trans. Pattern Anal. Mach. Intell. 35, 171–184 (2013)

    Article  MATH  Google Scholar 

  13. Wang, J., Tang, C., Zheng, X., Liu, X., Zhang, W., Zhu, E.: Graph regularized spatial-spectral subspace clustering for hyperspectral band selection. Neural Netw. 153, 292–302 (2022)

    Article  MATH  Google Scholar 

  14. Wang, J., Yang, J., Yu, K., Lv, F., Huang, T., Gong, Y.: Locality-constrained linear coding for image classification. In: 2010 IEEE Computer Society conference on computer vision and pattern recognition, pp. 3360–3367 (2010)

    Google Scholar 

  15. Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3, 1–122 (2011)

    Article  MATH  Google Scholar 

  16. Cai, J.-F., Candès, E.J., Shen, Z.: A singular value thresholding algorithm for matrix completion. SIAM J. Optim. 20, 1956–1982 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  17. Chang, C.-I., Du, Q., Sun, T.-L., Althouse, M.L.G.: A joint band prioritization and band-decorrelation approach to band selection for hyperspectral image classification. IEEE Trans. Geosci. Remote Sens. 37, 2631–2641 (1999)

    Article  MATH  Google Scholar 

  18. Wang, Q., Zhang, F., Li, X.: Hyperspectral band selection via optimal neighborhood reconstruction. IEEE Trans. Geosci. Remote Sens. 58, 8465–8476 (2020)

    Article  MATH  Google Scholar 

  19. Wang, Q., Li, Q., Li, X.: Hyperspectral band selection via adaptive subspace partition strategy. IEEE J. Select. Top. Appl. Earth Observ. Remote Sens. 12, 4940–4950 (2019)

    Article  MATH  Google Scholar 

  20. Jia, S., Tang, G., Zhu, J., Li, Q.: A novel ranking-based clustering approach for hyperspectral band selection. IEEE Trans. Geosci. Remote Sens. 54, 88–102 (2016)

    Article  MATH  Google Scholar 

  21. Wang, Q., Zhang, F., Li, X.: Optimal clustering framework for hyperspectral band selection. IEEE Trans. Geosci. Remote Sens. 56, 5910–5922 (2018)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xudong Sun .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2025 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shang, X., Zhao, X., Guo, Y., Sun, X. (2025). Latent Feature Representation-Based Low Rank Subspace Clustering for Hyperspectral Band Selection. In: Lin, Z., et al. Pattern Recognition and Computer Vision. PRCV 2024. Lecture Notes in Computer Science, vol 15043. Springer, Singapore. https://doi.org/10.1007/978-981-97-8493-6_29

Download citation

  • DOI: https://doi.org/10.1007/978-981-97-8493-6_29

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-97-8492-9

  • Online ISBN: 978-981-97-8493-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics