Skip to main content

Asymmetric Generalized Gaussian Mixtures for Radiographic Image Segmentation

  • Conference paper
  • First Online:
Proceedings of the 9th International Conference on Computer Recognition Systems CORES 2015

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 403))

Abstract

In this paper, a parametric histogram-based image segmentation method is used where the gray level histogram is considered as a finite mixture of asymmetric generalized Gaussian distribution (AGGD). The choice of AGGD is motivated by its flexibility to adapt the shape of the data including the asymmetry. Here, the method of moment estimation combined to the expectation–maximization algorithm (MME/EM) is originally used to estimate the mixture parameters. The proposed image segmentation approach is achieved in radiographic imaging where the image often presents an histogram with a complex shape. The experimental results provided in terms of histogram fitting error and region uniformity measure are comparable to those of the maximum likelihood method (MLE/EM) with the advantage that MME/EM method reveals to be more robust to the EM initialization than MLE/EM.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Kokkinakis, K., Nandi, A.K.: Exponent parameter estimation for generalized Gaussian probability density functions with application to speech modeling. Signal Process. 85(9), 1852–1858 (2005)

    Article  MATH  Google Scholar 

  2. McLachlan, G., Peel, D.: Finite Mixture Models. Wiley, New York (2000)

    Book  MATH  Google Scholar 

  3. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm. J. Royal Stat. Soc. Ser. B 39(1), 1–38 (1977)

    MathSciNet  MATH  Google Scholar 

  4. Lee, J.-Y., Nandi, A.K.: Parameter Estimation of the Asymmetric Generalised Gaussian Family of Distributions. Stat. Signal Process., IEE Colloquium, pp. 9/1–9/5 (1999)

    Google Scholar 

  5. Nacereddine, N., Tabbone, S., Ziou, D., Hamami, L.: Asymmetric generalized Gaussian mixture models and EM algorithm for image segmentation. In: Proceedings of 20th International Conference on Pattern Recognition (ICPR’2010), pp. 4557–4560. Istanbul (2010)

    Google Scholar 

  6. Lindsay, B.G., Pilla, R.S., Basak, P.: Moment-based approximations of distributions using mixtures: Theory and application. Ann. Inst. Stat. Math. 52(2), 215–230 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  7. Delicado, P., Goria, M.N.: A small sample comparison of maximum likelihood, moments and L-moments methods for the asymmetric exponential power distribution. Comput. Stat. Data Anal. 52(3), 1661–1673 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Nacereddine, N., Ziou, D., Hamami, L.: Fusion-based shape descriptor for weld defect radiographic image retrieval. Int. J. Adv. Manuf. Tech. 68(9–12), 2815–2832 (2013)

    Article  Google Scholar 

  9. Ng, W.S., Lee, C.K.: Comment on using the uniformity measure for performance measure in image segmentation. IEEE Trans. PAMI 18(9), 933–934 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nafaa Nacereddine .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Nacereddine, N., Ziou, D. (2016). Asymmetric Generalized Gaussian Mixtures for Radiographic Image Segmentation. In: Burduk, R., Jackowski, K., Kurzyński, M., Woźniak, M., Żołnierek, A. (eds) Proceedings of the 9th International Conference on Computer Recognition Systems CORES 2015. Advances in Intelligent Systems and Computing, vol 403. Springer, Cham. https://doi.org/10.1007/978-3-319-26227-7_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26227-7_49

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26225-3

  • Online ISBN: 978-3-319-26227-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics