Skip to main content

Markovian Segmentation of Non-stationary Data Corrupted by Non-stationary Noise

  • Conference paper
  • First Online:
Advances in Computing Systems and Applications (CSA 2022)

Abstract

Hidden Markov models have been widely applied for data processing, mainly for image segmentation. However, when applied to non-stationary data, the results obtained may be poor due to mismatch between the models and reality. To this, such models have been extended to triplet Markov models which exhibit better performances while keeping similar computational complexity. In this paper, we introduce two novel models, based on triplet chain and field, able to handle simultaneously noise and classes non-stationarity, through a pairwise markovian auxiliary process. The performances of our models were assessed against regular hidden Markov models on simulated and synthetic images segmentation. The results obtained confirm the interest of the models proposed.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

References

  1. Amat, F., Moussavi, F., Comolli, L.R., Elidan, G., Downing, K.H., Horowitz, M.: Markov random field based automatic image alignment for electron tomography. J. Struct. Biol. 161(3), 260–275 (2008). https://doi.org/10.1016/j.jsb.2007.07.007

  2. Benboudjema, D., Pieczynski, W.: Unsupervised statistical segmentation of nonstationary images using triplet Markov fields. Pattern Anal. Mach. Intell. IEEE Trans. 29(8), 1367–1378 (2007)

    Article  Google Scholar 

  3. Boudaren, M.E.Y., Pieczynski, W., Monfrini, E.: Unsupervised segmentation of non stationary data hidden with non stationary noise. In: International Workshop on Systems, Signal Processing and their Applications, WOSSPA, pp. 255–258 (2011)

    Google Scholar 

  4. Chen, M., Cho, J., Zhao, H.: Incorporating biological pathways via a Markov random field model in genome-wide association studies. PLoS Genetics 7(4), e1001353 (2011). https://doi.org/10.1371/journal.pgen.1001353

  5. Deng, H., Clausi, D.: Unsupervised segmentation of synthetic aperture radar sea ice imagery using a novel Markov random field model. IEEE Trans. Geosci. Remote Sens. 43(3), 528–538 (2005). https://doi.org/10.1109/tgrs.2004.839589

  6. Habbouchi, A., Boudaren, M.E.Y., Aïssani, A., Pieczynski, W.: Fast segmentation of Markov random fields corrupted by correlated noise. In: Senouci, M.R., Boudaren, M.E.Y., Sebbak, F., Mataoui, M. (eds.) CSA 2020. LNNS, vol. 199, pp. 334–343. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-69418-0_30

    Chapter  Google Scholar 

  7. Habbouchi, A., Boudaren, M.E.Y., Aïssani, A., Pieczynski, W.: Unsupervised segmentation of Markov random fields corrupted by nonstationary noise. IEEE Signal Process. Lett. 23(11), 1607–1611 (2016)

    Article  Google Scholar 

  8. Hifny, Y., Renals, S.: Speech recognition using augmented conditional random fields. IEEE Trans. Audio Speech Lang. Process. 17(2), 354–365 (2009). https://doi.org/10.1109/tasl.2008.2010286

  9. Li, S.Z.: Markov Random Field Modeling in Image Analysis. Springer, London (2010). https://doi.org/10.1007/978-1-84800-279-1

  10. Rabiner, L.: A tutorial on hidden Markov models and selected applications in speech recognition. Proc. IEEE 77(2), 257–286 (1989). https://doi.org/10.1109/5.18626

  11. Zhang, P., Li, B., Boudaren, M.E.Y., Yan, J., Li, M., Wu, Y.: Parameter estimation of generalized gamma distribution toward SAR image processing. IEEE Trans. Aerosp. Electron. Syst. 56(5), 3701–3717 (2020)

    Article  Google Scholar 

  12. Zweig, G., Nguyen, P.: A segmental CRF approach to large vocabulary continuous speech recognition. In: 2009 IEEE Workshop on Automatic Speech Recognition & Understanding. IEEE, December 2009. https://doi.org/10.1109/asru.2009.5372916

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ahmed Habbouchi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Habbouchi, A., Boudaren, M.E.Y., Senouci, M.R., Aïssani, A. (2022). Markovian Segmentation of Non-stationary Data Corrupted by Non-stationary Noise. In: Senouci, M.R., Boulahia, S.Y., Benatia, M.A. (eds) Advances in Computing Systems and Applications. CSA 2022. Lecture Notes in Networks and Systems, vol 513. Springer, Cham. https://doi.org/10.1007/978-3-031-12097-8_3

Download citation

Publish with us

Policies and ethics