Skip to main content

Texture Segmentation Using the Mixtures of Principal Component Analyzers

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2869))

Abstract

The problem of segmenting an image into several modalities representing different textures can be modelled using Gaussian mixtures. Moreover, texture image patches when translated, rotated or scaled lie in low dimensional subspaces of the high-dimensional space spanned by the grey values. These two aspects make the mixture of local subspace models worth consideration for segmenting this type of images. In recent years a number of mixtures of local PCA models have been proposed. Most of these models require the user to set the number of subspaces and subspace dimensionalities. To make the model autonomous, we propose a greedy EM algorithm to find a suboptimal number of subspaces, besides using a global retained variance ratio to estimate for each subspace the dimensionality that retains the given variability ratio. We provide experimental results for testing the proposed method on texture segmentation.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cadez, I., Smyth, P.: On model selection and concavity for finite mixture models. In: Symp. On Information theory (ISIT)(2000)

    Google Scholar 

  2. Dasgupta, S.: Learning mixtures of Gaussians. In: Proc. IEEE Symposium on Foundation of Computer Science (1999)

    Google Scholar 

  3. de Ridder, D., Kittler, J., Duin, R.: Probabilistic PCA and ICA subspace mixture models for image segmentation. In: Proc. 11th British Machine Vision Conference (BMVC 2000), Bristol, UK, pp. 112–121 (2000)

    Google Scholar 

  4. de Ridder, D.: Adaptive methods of image processing. Doc. dissertation, Faculty of Applied Science, Delft University of Technology (2001)

    Google Scholar 

  5. Hinton, G., Dayan, P., Revow, M.: Modeling the manifolds of images of handwritten digits. IEEE Trans. on Neural Networks. 10(3), 65–74 (1997)

    Article  Google Scholar 

  6. Kambhatla, N.: Local models & Gaussian mixture models for statistical data processing. Doc. dissertation, Oregon Graduate Inst. of Science & Tech. (1995)

    Google Scholar 

  7. Li, J., Barron, A.: Mixture density estimation. In: Advances in Neural Inf. Proc. Systems, vol. 12, MIT Press, Cambridge (2000)

    Google Scholar 

  8. Meinicke, P., Ritter, H.: Resolution-based Complexity control for Gaussian mixture models. Neural Comp. 13(2), 453–475 (2001)

    Article  MATH  Google Scholar 

  9. Moghaddam, B., Pentland, A.: Probabilistic visual learning for object representation. IEEE Trans. PAMI 19(7), 696–710 (1997)

    Google Scholar 

  10. Musa, M., Duin, R., de Ridder, D.: An enhanced EM algorithm for mixture of probabilistic principal component analysis. In: ICANN 2001 Workshop on Kernel & subspace Methods for computer Vision (2001)

    Google Scholar 

  11. Musa, M., Duin, R., de Ridder, D.: Almost automomous training of mixtures of principal component analyzers. Submittend to Pattern Rec. Let. (2003)

    Google Scholar 

  12. Tipping, M., Bishop, C.: Mixtures of principal component analyzers. Neural Comp. 11(2), 443–482 (1999)

    Article  Google Scholar 

  13. Verbeek, J., Vlassis, N., Krose, B.: Efficient greedy learning of Gaussian mixture models. Neural Comp. 15(2), 469–485 (2003)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Musa, M.E.M., Duin, R.P.W., de Ridder, D., Atalay, V. (2003). Texture Segmentation Using the Mixtures of Principal Component Analyzers. In: Yazıcı, A., Şener, C. (eds) Computer and Information Sciences - ISCIS 2003. ISCIS 2003. Lecture Notes in Computer Science, vol 2869. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39737-3_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39737-3_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20409-1

  • Online ISBN: 978-3-540-39737-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics