Skip to main content

Space-Varying Color Distributions for Interactive Multiregion Segmentation: Discrete versus Continuous Approaches

  • Conference paper
Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR 2011)

Abstract

State-of-the-art approaches in interactive image segmentation often fail for objects exhibiting complex color variability, similar colors or difficult lighting conditions. The reason is that they treat the given user information as independent and identically distributed in the input space yielding a single color distribution per region. Due to their strong overlap segmentation often fails. By statistically taking into account the local distribution of the scribbles we obtain spatially varying color distributions, which are locally separable and allow for weaker regularization assumptions. Starting from a Bayesian formulation for image segmentation, we derive a variational framework for multi-region segmentation, which incorporates spatially adaptive probability density functions. Minimization is done by three different optimization methods from the MRF and PDE community. We discuss advantages and drawbacks of respective algorithms and compare them experimentally in terms of segmentation accuracy, quantitative performance on the Graz benchmark and speed.

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. Akaike, H.: An approximation to the density function. Ann. Inst. Statist. Math. 6, 127–132 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  2. Alahari, K., Kohli, P., Torr, P.: Dynamic hybrid algorithms for map inference in discrete mrfs. Trans. Pattern Anal. Mach. Intell. 32(10), 1846–1857 (2010)

    Article  Google Scholar 

  3. Bai, X., Sapiro, G.: A geodesic framework for fast interactive image and video segmentation and matting. In: Proc. of ICCV (2007)

    Google Scholar 

  4. Boykov, Y., Kolmogorov, V.: An experimental comparison of min-cut/max-flow algorithms for energy minimization in computer vision. In: Figueiredo, M., Zerubia, J., Jain, A.K. (eds.) EMMCVPR 2001. LNCS, vol. 2134, pp. 359–374. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE Trans. on Patt. Anal. and Mach. Intell. 23(11), 1222–1239 (2001)

    Article  Google Scholar 

  6. Chambolle, A., Cremers, D., Pock, T.: A convex approach for computing minimal partitions. Technical report TR-2008-05, University of Bonn (2008)

    Google Scholar 

  7. Goldschlager, L., Shaw, R., Staples, J.: The maximum flow problem is log space complete for p. Theoretical Computer Science 21, 105–111 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  8. Greig, D.M., Porteous, B.T., Seheult, A.H.: Exact maximum a posteriori estimation for binary images. J. Roy. Statist. Soc., Ser. B 51(2), 271–279 (1989)

    Google Scholar 

  9. Klodt, M., Schoenemann, T., Kolev, K., Schikora, M., Cremers, D.: An experimental comparison of discrete and continuous shape optimization methods. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part I. LNCS, vol. 5302, pp. 332–345. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Komodakis, N., Tziritas, G.: A new framework for approximate labeling via graph cuts. In: Proc. of ICCV, pp. 1018–1025 (2005)

    Google Scholar 

  11. Lellmann, J., Breitenreicher, D., Schnörr, C.: Fast and exact primal-dual iterations for variational problems in computer vision. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010. LNCS, vol. 6312, pp. 494–505. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  12. Lellmann, J., Kappes, J., Yuan, J., Becker, F., Schnörr, C.: Convex multiclass image labeling by simplex-constrained total variation. In: Technical Report, HCI, IWR, University of Heidelberg (2008)

    Google Scholar 

  13. Nieuwenhuis, C., Berkels, B., Rumpf, M., Cremers, D.: Interactive motion segmentation. In: Goesele, M., Roth, S., Kuijper, A., Schiele, B., Schindler, K. (eds.) Pattern Recognition. LNCS, vol. 6376, pp. 483–492. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  14. Pock, T., Chambolle, A., Cremers, D., Bischof, H.: A convex relaxation approach for computing minimal partitions. In: Proc. of CVPR (2009)

    Google Scholar 

  15. Potts, R.B.: Some generalized order-disorder transformations. Proc. Camb. Phil. Soc. 48, 106–109 (1952)

    Article  MathSciNet  MATH  Google Scholar 

  16. Rosenblatt, F.: Remarks on some nonparametric estimates of a density function. Annals of Mathematical Statistics 27, 832–837 (1956)

    Article  MathSciNet  MATH  Google Scholar 

  17. Rother, C., Kolmogorov, V., Blake, A.: Grab-cut: interactive foreground segmentation using iterated graph cuts. ACM Transactions on Graphics 23(3), 309–314 (2004)

    Article  Google Scholar 

  18. Santner, J.: Interactive Multi-label segmentation. PhD thesis, University of Graz (2010)

    Google Scholar 

  19. Santner, J., Pock, T., Bischof, H.: Interactive multi-label segmentation. In: Kimmel, R., Klette, R., Sugimoto, A. (eds.) ACCV 2010, Part I. LNCS, vol. 6492, pp. 397–410. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  20. Szeliski, R., Zabih, R., Scharstein, D., Veksler, O., Kolmogorov, V., Agarwala, A., Tappen, M., Rother, C.: A comparative study of energy minimization methods for markov random fields. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 16–29. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  21. Unger, M., Pock, T., Trobin, W., Cremers, D., Bischof, H.: Tvseg - interactive total variation based image segmentation. In: Proc. of BMVC (2008)

    Google Scholar 

  22. Zach, C., Gallup, D., Frahm, J.-M., Niethammer, M.: Fast global labeling for real-time stereo using multiple plane sweeps. In: Vision, Modeling and Visualization Workshop, VMV (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nieuwenhuis, C., Töppe, E., Cremers, D. (2011). Space-Varying Color Distributions for Interactive Multiregion Segmentation: Discrete versus Continuous Approaches. In: Boykov, Y., Kahl, F., Lempitsky, V., Schmidt, F.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2011. Lecture Notes in Computer Science, vol 6819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23094-3_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23094-3_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23093-6

  • Online ISBN: 978-3-642-23094-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics