Skip to main content

Energy Minimization by \(\alpha \)-Erosion for Supervised Texture Segmentation

  • Conference paper
  • First Online:
Image Analysis and Recognition (ICIAR 2014)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8814))

Included in the following conference series:

Abstract

In this paper we improve image segmentation based on texture properties. The already good results achieved using learned dictionaries and Gaussian smoothing are improved by minimizing an energy function that has the form of a Potts model. The proposed \(\alpha \)-erosion method is a greedy method that essentially relabels the pixels one by one and is computationally very fast. It can be used in addition to, or instead of, Gaussian smoothing to regularize the label images in supervised texture segmentation problems. The proposed \(\alpha \)-erosion method achieves excellent results on a much used set of test images: on average we get 2.9 % wrongly classified pixels. Gaussian smoothing gives 10 % and the best results reported earlier give 4.5 %.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Besag, J.: On the statistical analysis of dirty pictures. Journal of the Royal Statistical Society. Series B (Methodological) 48(3), 259–302 (1986)

    MathSciNet  MATH  Google Scholar 

  2. Boykov, Y., Kolmogorov, V.: An experimental comparison of min-cut/max-flow algorithms for energy minimization in vision. IEEE Trans. Pattern Anal. Machine Intell. 26(9), 1124–1137 (2004)

    Article  Google Scholar 

  3. Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE Trans. Pattern Anal. Machine Intell. 23(11), 1222–1239 (2001)

    Article  Google Scholar 

  4. Delong, A., Gorelick, L., Veksler, O., Boykov, Y.: Minimizing energies with hierarchical costs. Int. J. Comput. Vision 100(1), 38–58 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  5. Elad, M.: Sparse and Redundant Representations, from Theory to Applications in Signal and Image Processing. Springer, New York (2010)

    Book  MATH  Google Scholar 

  6. Kohli, P., Ladický, L., Torr, P.H.S.: Robust higher order potentials for enforcing label consistency. Int. J. Comput. Vision 82(3), 302–324 (2009)

    Article  Google Scholar 

  7. Kolmogorov, V., Zabih, R.: What energy functions can be minimized via graph cuts. IEEE Trans. Pattern Anal. Machine Intell. 26, 147–159 (2004)

    Article  Google Scholar 

  8. Mäenpää, T., Pietikäinen, M., Ojala, T.: Texture classification by multi-predicate local binary pattern operators. In: Proc. ICPR (2000)

    Google Scholar 

  9. Mairal, J., Bach, F., Ponce, J., Sapiro, G., Zisserman, A.: Discriminative learned dictionaries for local image analysis. In: 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (June 2008)

    Google Scholar 

  10. Ojala, T., Mäenpää, T., Pietikäinen, M., Viertola, J., Kyllönen, J., Huovinen, S.: Outex - new framework for empirical evaluation of texture analysis algorithms. In: Proc. 16th Int. Conf. Pattern Recognition (2002)

    Google Scholar 

  11. Ojala, T., Pietikäinen, M., Mäenpää, T.: Multiresolution gray-scale and rotation invariant texture classification with local binary patterns. IEEE Trans. Pattern Anal. Machine Intell. 24(7), 971–987 (2002)

    Article  Google Scholar 

  12. Ojala, T., Valkealahti, K., Oja, E., Pietikäinen, M.: Texture discrimination with multidimensional distributions of signed gray-level differences. Pattern Recognition 34(3), 727–739 (2001)

    Article  MATH  Google Scholar 

  13. Randen, T., Husøy, J.H.: Filtering for texture classification: A comparative study. IEEE Trans. Pattern Anal. Machine Intell. 21(4), 291–310 (1999)

    Article  Google Scholar 

  14. Skretting, K.: Sparse Signal Representation using Overlapping Frames. PhD thesis, NTNU Trondheim and Høgskolen i Stavanger (October 2002), http://www.ux.uis.no/~karlsk/

  15. Skretting, K., Engan, K.: Recursive least squares dictionary learning algorithm. IEEE Trans. Signal Processing 58, 2121–2130 (2010)

    Article  MathSciNet  Google Scholar 

  16. Skretting, K., Husøy, J.H.: Texture classification using sparse frame based representations. EURASIP Journal on Applied Signal Processing 2006, Article ID 52561 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Karl Skretting .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Skretting, K., Engan, K. (2014). Energy Minimization by \(\alpha \)-Erosion for Supervised Texture Segmentation. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2014. Lecture Notes in Computer Science(), vol 8814. Springer, Cham. https://doi.org/10.1007/978-3-319-11758-4_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11758-4_23

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11757-7

  • Online ISBN: 978-3-319-11758-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics