Skip to main content

T-Test Based Adaptive Random Walk Segmentation Under Multiplicative Speckle Noise Model

  • Conference paper
  • First Online:
Computer Vision – ACCV 2016 Workshops (ACCV 2016)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10117))

Included in the following conference series:

Abstract

Segmentation algorithms typically require some parameters and their optimal values are not easy to find. Training methods have been proposed to tune the optimal parameter values. In this work we follow an alternative goal of adaptive parameter setting. Considering the popular random walk segmentation algorithm it is demonstrated that the parameter used for the weighting function has a strong influence on the segmentation quality. We propose a hypothesis testing based adaptive approach to automatically setting this parameter, thus adapting the segmentation algorithm to the statistic properties of an image. Our data-driven weighting function is developed under the multiplicative speckle noise model. Since the additive Gaussian noise model is its special case, our method is applicable to a broad range of imaging modalities. Experimental results are presented to demonstrate the usefulness of the proposed approach.

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 EPUB and 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

References

  1. Abdala, D.D., Wattuya, P., Jiang, X.: Ensemble clustering via random walker consensus strategy. In: International Conference on Pattern Recognition, pp. 1433–1436 (2010)

    Google Scholar 

  2. Fisher, R.A.: The fiducial argument in statistical inference. Ann. Eugen. 6, 391–398 (1935)

    Article  Google Scholar 

  3. Grady, L.: Random walks for image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 28, 1768–1783 (2004, 2006)

    Google Scholar 

  4. Loupas, T., McDicken, W.N., Allan, P.L.: An adaptive weighted median filter for speckle suppression in medical ultrasonic images. IEEE Trans. Circ. Syst. 36, 129–135 (1989)

    Article  Google Scholar 

  5. Pignalberi, G., Cucchiara, R., Cinque, L., Levialdi, S.: Tuning range image segmentation by genetic algorithm. EURASIP J. Adv. Signal Process. 2003, 780–790 (2003)

    Article  MATH  Google Scholar 

  6. Phan, R., Androutsos, D.: Robust semi-automatic depth map generation in unconstrained images and video sequences for 2D to stereoscopic 3D conversion. IEEE Trans. Multimedia 16, 122–136 (2014)

    Article  Google Scholar 

  7. Sawatzky, A., Tenbrinck, D., Jiang, X., Burger, M.: A variational framework for region-based segmentation incorporating physical noise models. J. Math. Imaging Vis. 47, 179–209 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  8. Tenbrinck, D., Schmid, S., Jiang, X., Schäfers, K., Stypmann, J.: Histogram-based optical flow for motion estimation in ultrasound imaging. J. Math. Imaging Vis. 47, 138–150 (2013)

    Article  MATH  Google Scholar 

  9. Tenbrinck, D., Jiang, X.: Image segmentation with arbitrary noise models by solving minimal surface problems. Pattern Recogn. 48, 3293–3309 (2015)

    Article  Google Scholar 

  10. Wattuya, P., Rothaus, K., Praßni, J., Jiang, X.: A random walker based approach to combining multiple segmentations. In: Proceedings of International Conference on Pattern Recognition, pp. 1–4 (2008)

    Google Scholar 

  11. Welch, B.L.: The generalization of student’s problem when several different population variances are involved. Biometrika 34, 28–35 (1947)

    MathSciNet  MATH  Google Scholar 

  12. Wu, Z., Jiang, X., Zheng, N., Liu, Y., Cheng, D.: Exact solution to median surface problem using 3D graph search and application to parameter space exploration. Pattern Recogn. 48, 380–390 (2015)

    Article  Google Scholar 

  13. Yokoya, N., Levine, M.D.: Range image segmentation based on differential geometry: a hybrid approach. IEEE Trans. Pattern Anal. Mach. Intell. 11, 643–649 (1989)

    Article  Google Scholar 

  14. Zelnik-Manor, L., Perona, P.: Self-tuning spectral clustering. In: NIPS, pp. 1601–1608 (2005)

    Google Scholar 

  15. Zhang, J.: The mean field theory in EM procedures for Markov random fields. IEEE Trans. Signal Process. 40, 2570–2583 (1992)

    Article  MATH  Google Scholar 

  16. Zhu, X., Ghahramani, Z., Lafferty, J.: Semi-supervised learning using Gaussian fields and harmonic functions. In: Proceedings of International Conference on Machine Learning, pp. 912–919 (2003)

    Google Scholar 

  17. Zhu, X., Lafferty, J., Ghahramani, Z.: Combining active learning and semi-supervised learning using Gaussian fields and harmonic functions. In: ICML Workshop on the Continuum from Labeled to Unlabeled Data in Machine Learning and Data Mining (2003)

    Google Scholar 

Download references

Acknowledgements

Ang Bian was supported by the China Scholarship Council (CSC). Xiaoyi Jiang was supported by the Deutsche Forschungsgemeinschaft (DFG): SFB656 MoBil (project B3) and EXC 1003 Cells in Motion – Cluster of Excellence.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaoyi Jiang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Bian, A., Jiang, X. (2017). T-Test Based Adaptive Random Walk Segmentation Under Multiplicative Speckle Noise Model. In: Chen, CS., Lu, J., Ma, KK. (eds) Computer Vision – ACCV 2016 Workshops. ACCV 2016. Lecture Notes in Computer Science(), vol 10117. Springer, Cham. https://doi.org/10.1007/978-3-319-54427-4_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-54427-4_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54426-7

  • Online ISBN: 978-3-319-54427-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics