Skip to main content

Fast Uncertainty-Guided Fuzzy C-Means Segmentation of Medical Images

  • Conference paper
  • First Online:
Visualization in Medicine and Life Sciences III

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

  • 857 Accesses

Abstract

Image segmentation is a crucial step of the medical visualization pipeline. In this paper, we present a novel fast algorithm for modified fuzzy c-means segmentation of MRI data. The algorithm consists of two steps, which are executed as two iterations of a fuzzy c-means approach: the first iteration is a standard fuzzy c-means (FCM) iteration, while the second iteration is our modified FCM iteration with misclassification correction. In the second iteration, we use the classification probability vectors (uncertainties) of the neighbor pixels found by the first iteration to confirm or correct the classification decision of the current pixel. The application of the proposed algorithm on synthetic data, simulated MRI data, and real MRI data show that our algorithm is insensitive to different types of noise and outperforms the standard FCM and several versions of modified FCM algorithms in terms of accuracy and speed. In fact, our algorithm can easily be combined with many modified FCM algorithms to improve their segmentation result while reducing the computation costs (using two FCM iterations only). An optional simple post-processing step can further improve the segmentation result by correcting isolated misclassified pixels. We also show that our algorithm reduces the uncertainty in the segmentation result, by using recently proposed uncertainty estimation and visualization tools.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

References

  1. Guttmann, C., Jolesz, F.A., Kikinis, R., Killiany, R., Moss, M., Sandor, T., Albert, M.: White matter changes with normal aging. Neurology 50, 972–978 (1998)

    Article  Google Scholar 

  2. Heindel, W.C., Jernigan, T.L., Archibald, S.L., Achim, C.L., Masliah, E., Wiley, C.A.: The relationship of quantitative brain magnetic resonance imaging measures to neuropathologic indexes of human immunodeficiency virus infection. Arch. Neurol. 51, 1129–35 (1994)

    Article  Google Scholar 

  3. Mohamed, N.A., Ahmed, M.N., Farag, A.: Modified fuzzy c-mean in medical image segmentation. In: Proceedings IEEE International Conference on Acoustics, Speech, and Signal Processing, Piscataway, NI, USA, vol. 6, pp. 3429–3432 (1999)

    Google Scholar 

  4. Ahmed, M.N., Yamany, S.M., Mohamed, N., Farag, A.A., and Moriarty, T.: A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data. IEEE Trans. Med. Imaging 21(3), 193–199

    Google Scholar 

  5. Pham, D.L.: Fuzzy clustering with spatial constraints. In: 2002 Proceedings International Conference on Image Processing, vol. 2, pp. II–65–II–68 (2002)

    Google Scholar 

  6. Chen S., Zhang, D.: Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance metric. IEEE Trans. Syst. Man Cybern. B 34(4), 1907–1916 (2004)

    Article  Google Scholar 

  7. Zhang, D., Chen, S.: A novel kernelised fuzzy c-means algorithm with application in medical image segmentation. Artif. Intell. Med. 32(1), 37–50 (2004)

    Article  Google Scholar 

  8. Yuan, K., Wu, L., Cheng, Q.S., Bao, S., Chen, C., Zhang, H.,: A novel fuzzy c-means algorithm and its application. Int. J. Pattern Recognit. Artif. Intell. 19(8), 1059–1066 (2005)

    Article  Google Scholar 

  9. Chuang, K.-S., Tzeng, H.-L., Chen, S., Wu, J., Chen, T.-J.: Fuzzy c-means clustering with spatial information for image segmentation. Comput. Med. Imaging Graph. 30(1), 9–15 (2006)

    Article  Google Scholar 

  10. Cai, W., Chen, S., Zhang, D.: Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recogn. 40(3), 825–838 (2007)

    Article  MATH  Google Scholar 

  11. Tolias, Y.A., Panas, S.M.: On applying spatial constraints in fuzzy image clustering using a fuzzy rule-based system. IEEE Signal Process Lett. 5(10), 245–247 (1998)

    Article  Google Scholar 

  12. Saad, A., Möller, T. and Hamarneh, G.: Probexplorer: uncertainty-guided exploration and editing of probabilistic medical image segmentation. Comput. Graphics Forum 29(3), 1113–1122 (2010)

    Article  Google Scholar 

  13. Olabarriagaa S.D., Smeuldersb A.W.M.: Interaction in the segmentation of medical images: a survey. Med. Image Anal. 5, 127–142 (2001)

    Article  Google Scholar 

  14. Al-Taie, A., Hahn, H.K., Linsen, L.: Uncertainty estimation and visualization in probabilistic segmentation. Comput. Graph. 39(0), 48–59 (2014); Available online: 26 October 2013

    Google Scholar 

  15. El-Melegy, M.T., Mokhtar, H.: Incorporating prior information in the fuzzy c-mean algorithm with application to brain tissues segmentation in MRI. In: International Conference on Image Processing (ICIP), pp. 3393–3396. IEEE (2009)

    Google Scholar 

  16. Li, C., Xu, C., Anderson, A.W., Gore, J.C.: MRI tissue classification and bias field estimation based on coherent local intensity clustering: a unified energy minimization framework. In Prince, J.L., Pham, D.L., Myers, K.J. (eds.) Information Processing in Medical Imaging. Lecture Notes in Computer Science, vol. 5636, pp. 288–299. Springer, Berlin/Heidelberg (2009)

    Chapter  Google Scholar 

  17. Wang, J., Kong, J., Lu, Y., Qi, M., Zhang, B.: A modified FCM algorithm for MRI brain image segmentation using both local and non-local spatial constraints. Comput. Med. Imaging Graph. 32(8), 685–698 (2008)

    Article  Google Scholar 

  18. Ji, Z.-X., Sun, Q.-S., Xia, D.-S.: A modified possibilistic fuzzy c-means clustering algorithm for bias field estimation and segmentation of brain mr image. Comput. Med. Imaging Graph. 35(5), 383–397 (2011)

    Article  Google Scholar 

  19. Szilágyi, L., Benyo, Z., Szilágyi, S.M., Adam, H.S.: Mr brain image segmentation using an enhanced fuzzy c-means algorithm. In: Proceedings of the 25th Annual International Conference of the IEEE, vol. 1, pp. 724–726. Engineering in Medicine and Biology Society (2003)

    Google Scholar 

  20. Praßni, J.S., Ropinski, T., Hinrichs, K.: Uncertainty-aware guided volume segmentation. IEEE Trans. Vis. Comput. Graph. 16(6), 1358–1365 (2010)

    Article  Google Scholar 

  21. Potter, K.C., Gerber, S., Anderson, E.W.: Visualization of uncertainty without a mean. IEEE Comput. Graph. Appl. 33(1), 75–79 (2013)

    Article  Google Scholar 

  22. Bezdek J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)

    Book  MATH  Google Scholar 

  23. MNI. Brainweb, Simulated Brain Database: Available since 1997. Available at http://www.bic.mni.mcgill.ca/brainweb/, access time: on November 2012, 1997

  24. IBSR. The Internet Brain Segmentation Repository (IBSR): Available since 1996. Available at http://www.cma.mgh.harvard.edu/ibsr/, access time: on October 2012, 1996

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ahmed Al-Taie .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Al-Taie, A., Hahn, H.K., Linsen, L. (2016). Fast Uncertainty-Guided Fuzzy C-Means Segmentation of Medical Images. In: Linsen, L., Hamann, B., Hege, HC. (eds) Visualization in Medicine and Life Sciences III. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-24523-2_2

Download citation

Publish with us

Policies and ethics