Skip to main content

Message Passing on the Two-Layer Network for Geometric Model Fitting

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

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10111))

Included in the following conference series:

Abstract

In this paper, we propose a novel model fitting method to recover multiple geometric structures from data corrupted by noises and outliers. Instead of analyzing each model hypothesis or each data point separately, the proposed method combines both the consensus information in all model hypotheses and the preference information in all data points into a two-layer network, in which the vertices in the first layer represent the data points and the vertices in the second layer represent the model hypotheses. Based on this formulation, the clusters in the second layer of the network, corresponding to the true structures, are detected by using an effective Two-Stage Message Passing (TSMP) algorithm. TSMP can not only accurately detect multiple structures in data without specifying the number of structures, but also handle data even with a large number of outliers. Experimental results on both synthetic data and real images further demonstrate the superiority of the proposed method over several state-of-the-art fitting methods.

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

Notes

  1. 1.

    http://cs.adelaide.edu.au/~hwong/doku.php?id=data.

References

  1. Mittal, S., Anand, S., Meer, P.: Generalized projection-based M-estimator. IEEE Trans. Pattern Anal. Mach. Intell. 34, 2351–2364 (2012)

    Article  Google Scholar 

  2. Purkait, P., Chin, T.J., Ackermann, H., Suter, D.: Clustering with hypergraphs: the case for large hyperedges. In: Proceedings of the European Conference on Computer Vision, pp. 672–687 (2014)

    Google Scholar 

  3. Magri, L., Fusiello, A.: T-linkage: a continuous relaxation of J-linkage for multi-model fitting. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 3954–3961 (2014)

    Google Scholar 

  4. Raguram, R., Chum, O., Pollefeys, M., Matas, J., Frahm, J.: USAC: a universal framework for random sample consensus. IEEE Trans. Pattern Anal. Mach. Intell. 35, 2022–2038 (2013)

    Article  Google Scholar 

  5. Chin, T.J., Wang, H., Suter, D.: Robust fitting of multiple structures: the statistical learning approach. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 413–420 (2009)

    Google Scholar 

  6. Lazic, N., Givoni, I., Frey, B., Aarabi, P.: FLoSS: facility location for subspace segmentation. In: Proceedings of the IEEE Conference on International Conference on Computer Vision, pp. 825–832 (2009)

    Google Scholar 

  7. Wang, H., Chin, T.J., Suter, D.: Simultaneously fitting and segmenting multiple-structure data with outliers. IEEE Trans. Pattern Anal. Mach. Intell. 34, 1177–1192 (2012)

    Article  Google Scholar 

  8. Fischler, M.A., Bolles, R.C.: Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Commun. ACM 24, 381–395 (1981)

    Article  MathSciNet  Google Scholar 

  9. Torr, P.H., Zisserman, A.: Mlesac: a new robust estimator with application to estimating image geometry. Comput. Vis. Image Underst. 78, 138–156 (2000)

    Article  Google Scholar 

  10. Chum, O., Matas, J., Kittler, J.: Locally optimized RANSAC. In: Michaelis, B., Krell, G. (eds.) DAGM 2003. LNCS, vol. 2781, pp. 236–243. Springer, Heidelberg (2003). doi:10.1007/978-3-540-45243-0_31

    Chapter  Google Scholar 

  11. Chum, O., Matas, J.: Matching with PROSAC-progressive sample consensus. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 220–226 (2005)

    Google Scholar 

  12. Frahm, J.M., Pollefeys, M.: RANSAC for (quasi-) degenerate data (QDEGSAC). In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 453–460 (2006)

    Google Scholar 

  13. Vincent, E., Laganiere, R.: Detecting planar homographies in an image pair. In: Proceedings of the International Symposium on Image and Signal Processing and Analysis, pp. 182–187 (2001)

    Google Scholar 

  14. Kanazawa, Y., Kawakami, H.: Detection of planar regions with uncalibrated stereo using distributions of feature points. In: Proceedings of the British Machine Vision Conference, pp. 1–10 (2004)

    Google Scholar 

  15. Toldo, R., Fusiello, A.: Robust multiple structures estimation with J-linkage. In: Proceedings of the European Conference on Computer Vision, pp. 537–547 (2008)

    Google Scholar 

  16. Wang, H., Xiao, G., Yan, Y., Suter, D.: Mode-seeking on hypergraphs for robust geometric model fitting. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 2902–2910 (2015)

    Google Scholar 

  17. Magri, L., Fusiello, A.: Robust multiple model fitting with preference analysis and low-rank approximation. In: Proceedings of the British Machine Vision Conference, pp. 1–12 (2015)

    Google Scholar 

  18. Frey, B.J., Dueck, D.: Clustering by passing messages between data points. Science 315, 972–976 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Yu, J., Chin, T.J., Suter, D.: A global optimization approach to robust multi-model fitting. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 2041–2048 (2011)

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  21. Tanimoto, T.T.: Elementary mathematical theory of classification and prediction. Internal IBM Technical Report (1957)

    Google Scholar 

  22. Wong, H.S., Chin, T.J., Yu, J., Suter, D.: Dynamic and hierarchical multi-structure geometric model fitting. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 1044–1051 (2011)

    Google Scholar 

Download references

Acknowledgment

This work was supported by the National Natural Science Foundation of China under Grants U1605252, 61472334 and 61571379.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hanzi Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Wang, X., Xiao, G., Yan, Y., Wang, H. (2017). Message Passing on the Two-Layer Network for Geometric Model Fitting. In: Lai, SH., Lepetit, V., Nishino, K., Sato, Y. (eds) Computer Vision – ACCV 2016. ACCV 2016. Lecture Notes in Computer Science(), vol 10111. Springer, Cham. https://doi.org/10.1007/978-3-319-54181-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-54181-5_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54180-8

  • Online ISBN: 978-3-319-54181-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics