Skip to main content

Gaussian Mixture Model Based on Hidden Markov Random Field for Color Image Segmentation

  • Conference paper
Ubiquitous Information Technologies and Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 280))

Abstract

Gaussian Mixture Model (GMM) has been widely applied in image segmentation. However, the pixels themselves are considered independent of each other, making the segmentation result sensitive to noise. To overcome this problem for the segmentation process we propose a mixture model useing Markov Random Filed (MRF) that aims to incorporate spatial relationship among neighborhood pixels into the GMM. The proposed model has a simplified structure that allows the Expectation Maximization (EM) algorithm to be directly applied to the log-likelihood function to compute the optimum parameters of the mixture model. The experimental results show that our method has more advantage in image segmentation than other methods in terms of accuracy and quality of segmented image, and simple performance.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Comaniciu, D., Meer, P.: Mean shift: A robust approach toward feature space analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(5), 603–619 (2002)

    Article  Google Scholar 

  2. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(8), 888–905 (2000)

    Article  Google Scholar 

  3. Zhou, H., Schaefer, G., Celebi, M.E., Fei, M.: Baysein image segmentation with mean shift. In: Proc. of IEEE Conference on Image Processng, pp. 2405–2408 (2009)

    Google Scholar 

  4. Li, S.Z.: Markov random field modeling in image analysis. Springer (2009)

    Google Scholar 

  5. Nguyen, T.M., Jonathan Wu, Q.M., Ahuja, S.: An extension of the standard mixture model for image segmentation. IEEE Transaction on Neural Networks 21(8), 1326–1338 (2010)

    Article  Google Scholar 

  6. Titterington, D.M., Smith, A.F.M., Makov, U.E.: Statistical analysis of finite mixture distributions. Wiley, Hoboken (1985)

    MATH  Google Scholar 

  7. Celeux, G., Forbes, F., Peyrard, N.: EM procedures using mean field like approximations for Markov model based image segmentation. Pattern Recognition 36(1), 131–144 (2003)

    Article  MATH  Google Scholar 

  8. Forbes, F., Peyrard, N.: Hidden Markov random field model selection criteria based on mean field like approximations. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(9), 10891101 (2003)

    Article  Google Scholar 

  9. Nikou, C., Galatsanos, N., Likas, A.: A class adaptive spatially variant mixture model for image segmentation. IEEE Transactions on Image Processing 16(4), 1121–1130 (2007)

    Article  MathSciNet  Google Scholar 

  10. Robinson, M., Azimi-Sadjadi, M., Salazar, J.: A temporally adaptive classifier for multispectral magery. IEEE Transactions on Neural Networks 15(1), 159–165 (2004)

    Article  Google Scholar 

  11. Li, S.Z.: Markov Random Field Modeling in Image Analysis, 3rd edn. Springer (2009)

    Google Scholar 

  12. Nikou, C., Galatsanos, N., Likas, A.: A class-adaptive spatially variant mixture model for image segmentation. IEEE Trans. Image Process. 16(4), 1121–1130 (2007)

    Article  MathSciNet  Google Scholar 

  13. Geman, S., Geman, D.: Stochastic relaxation, Gibbs distributions and the Bayesian restorationofimages. IEEE Trans. Pattern Anal. Mach. Intell., PAMI 6(6), 721–741 (1984)

    Article  MATH  Google Scholar 

  14. Besag, J.: On the statistical analysis of dirty pictures. J. Roy. Stat. Soc. B 48, 259–302 (1986)

    MathSciNet  MATH  Google Scholar 

  15. Sfikas, G., Nikou, C., Galatsanos, N.: Robust image segmentation with mixtures of students t-distributions. In: IEEE International Conference on Image Processing, vol. 1, p. 27327 (2007)

    Google Scholar 

  16. Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proc. 8th IEEE Int. Conf. Comput. Vis., Vancouver, BC, Canada, vol. 2, pp. 416–423 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Khoa Anh Tran .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tran, K.A., Vo, N.Q., Nguyen, T.T., Lee, G. (2014). Gaussian Mixture Model Based on Hidden Markov Random Field for Color Image Segmentation. In: Jeong, YS., Park, YH., Hsu, CH., Park, J. (eds) Ubiquitous Information Technologies and Applications. Lecture Notes in Electrical Engineering, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41671-2_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41671-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41670-5

  • Online ISBN: 978-3-642-41671-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics