Skip to main content

Stereo matching using M-estimators

  • Stereo and Correspondence
  • Conference paper
  • First Online:
Book cover Computer Analysis of Images and Patterns (CAIP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1296))

Included in the following conference series:

Abstract

Stereo computation is just one of the vision problems where the presence of outliers cannot be neglected. Most standard algorithms make unrealistic assumptions about noise distributions, which leads to erroneous results that cannot be corrected in subsequent processing stages. In this work the standard area-based correlation approach is modified so that it can tolerate a significant number of outliers. The approach exhibits a robust behaviour not only in the presence of mismatches but also in the case of depth discontinuities. Experimental results are given on synthetic and real images.

This work was supported by a grant from the Austrian National Fonds zur Förderung der wissenschaftlichen Forschung (No. S7002MAT) and (No. P9110-SPR).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. J. Besl, J. B. Birch, and L. T. Watson. Robust window operators. In Proceedings of the 2nd ICCV, pages 591–600. IEEE, Dec 1988.

    Google Scholar 

  2. D.N. Bhat and S.K. Nayar. Ordinal measures for visual correspondence. Technical Report CUCS-009-96, Columbia University,Dept. of Computer Science, February 1996.

    Google Scholar 

  3. H. Helmke, R. Janssen, and G. Saur. Automatische Erzeugung dreidimensionaler Kantenmodelle aus mehreren zweidimensionalen Objektansichten. In Grabkopf R.E., editor, Mustererkennung 1990, 12. DAGM Symposium, pages 617–624, 1990.

    Google Scholar 

  4. P. J. Huber. Robust Statistics. Wiley, New York, 1981.

    Google Scholar 

  5. M.R.M. Jenkin, A.D. Jepson, and J.K. Tsotsos. Techniques for disparity measurements. CVGIP, 53:14–30, 1991.

    Article  Google Scholar 

  6. D. Y. Kim, J. J. Kim, P. Meer, D. Mintz, and A. Rosenfeld. Robust computer vision: A least-median of squares based approach. In Proceedings of the Image Understanding Workshop, pages 1117–1134, Palo Alto, CA, May 1989. DARPA.

    Google Scholar 

  7. W. Luo and H. Maitre. Using surface model to correct and fit disparity data in stereo vision. In Tenth International Conference on Pattern Recognition, pages 60–64, Atlantic City, NJ, June 16–21 1990.

    Google Scholar 

  8. D. Marr and T. Poggio. A computational theory of human stereo vision. Proc. R. Soc. Lond. B., 204:301–328, 1979.

    PubMed  Google Scholar 

  9. P. Meer, D. Mintz, A. Rosenfeld, and D. Y. Kim. Robust regression methods for computer vision: A review. International Journal of Computer Vision, 6(1):59–70, 1991.

    Article  Google Scholar 

  10. C. Menard. Robust Stereo and Adaptive Matching in Correlation Scale-Space. PhD thesis, TU Wien, Institut für Automation, PRIP, Wien, 1996.

    Google Scholar 

  11. Azriel Rosenfeld and Avinash C. Kak. Digital Picture Processing Volume 2. Academic Press, Inc., 1982.

    Google Scholar 

  12. P. J. Rousseuw and A. M. Leroy. Robust Regression and Outlier Detection. Wiley, New York, 1987.

    Google Scholar 

  13. B. G. Schunck. Robust computational vision. In Proc. Of the IWRCV, Seattle, WA, Oct 1990.

    Google Scholar 

  14. S. S. Sinha and B. G. Schuck. A two-stage algorithm for discontinuity-preserving surface reconstruction. IEEE Trans. on PAMI, 14(1):36–55, Jan 1992.

    Google Scholar 

  15. J. Subrahmonia, J. Hung, and D.B. Cooper. Model-based segmentation and estimation of 3d surfaces from two or more intensity images using markov random fields. IEEE Conf. on Pattern Recognition, 1:390–397, 1990.

    Article  Google Scholar 

  16. D. Terzopoulos, A. Witkin, and M. Kass. Stereo matching as constrained optimization using scale continuation methods. In Opt. Dig. PR/ SPIE 754, pages 92–99, 1987.

    Google Scholar 

  17. J.W. Tukey. Some advanced thoughts on the data analysis involved in configural polysampling directed toward high performance estimates. Technical Report 189, Series 2, Department of Statistics, Princeton University, Princeton,N.J., 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Gerald Sommer Kostas Daniilidis Josef Pauli

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Menard, C., Leonardis, A. (1997). Stereo matching using M-estimators. In: Sommer, G., Daniilidis, K., Pauli, J. (eds) Computer Analysis of Images and Patterns. CAIP 1997. Lecture Notes in Computer Science, vol 1296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63460-6_131

Download citation

  • DOI: https://doi.org/10.1007/3-540-63460-6_131

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63460-7

  • Online ISBN: 978-3-540-69556-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics