Skip to main content

Locally Optimized RANSAC

  • Conference paper
Pattern Recognition (DAGM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2781))

Included in the following conference series:

Abstract

A new enhancement of ransac, the locally optimized ransac (lo-ransac), is introduced. It has been observed that, to find an optimal solution (with a given probability), the number of samples drawn in ransac is significantly higher than predicted from the mathematical model. This is due to the incorrect assumption, that a model with parameters computed from an outlier-free sample is consistent with all inliers. The assumption rarely holds in practice. The locally optimized ransac makes no new assumptions about the data, on the contrary – it makes the above-mentioned assumption valid by applying local optimization to the solution estimated from the random sample.

The performance of the improved ransac is evaluated in a number of epipolar geometry and homography estimation experiments. Compared with standard ransac, the speed-up achieved is two to three fold and the quality of the solution (measured by the number of inliers) is increased by 10-20%. The number of samples drawn is in good agreement with theoretical predictions.

The authors were supported by the European Union under projects IST-2001-32184,ICA 1-CT-2000-70002 and by the Czech Ministry of Education under project LN00B096 and by the Czech Technical University under project CTU0306013. The images for experiments A,B, and E were kindly provided by T. Tuytelaars (VISICS, K.U.Leuven), C by M. Pollefeys (VISICS, K.U.Leuven), and E by K. Mikolajczyk (INRIA Rhône-Alpes).

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chum, O., Matas, J.: Randomized ransac with T(d,d) test. In: Proceedings of the British Machine Vision Conference, vol. 2, pp. 448–457 (2002)

    Google Scholar 

  2. Clarke, J., Carlsson, S., Zisserman, A.: Detecting and tracking linear features efficiently. In: Proc. 7th BMVC, pp. 415–424 (1996)

    Google Scholar 

  3. Fischler, M., Bolles, R.: Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. CACM 24(6), 381–395 (1981)

    MathSciNet  Google Scholar 

  4. Hartley, R.: Indefence of the 8-point algorithm. In: ICCV 1995, pp. 1064–1070 (1995)

    Google Scholar 

  5. Leonardis, A., Bischof, H.: Robust recognition using eigenimages. Computer Vision and Image Understanding: CVIU 78(1), 99–118 (2000)

    Article  Google Scholar 

  6. Matas, J., Chum, O., Urban, M., Pajdla, T.: Robust wide baseline stereo from maximally stable extremal regions. In: Proc. of the BMVC, vol. 1, pp. 384–393 (2002)

    Google Scholar 

  7. McLauchlan, P., Jaenicke, A.: Image mosaicing using sequential bundle adjustment. In: Proc. BMVC, pp. 616–662 (2000)

    Google Scholar 

  8. Myatt, D., Torr, P., Nasuto, S., Bishop, J., Craddock, R.: Napsac: High noise, high dimensional robust estimation - it’s in the bag. In: BMVC 2002, vol. 2, pp. 458–467 (2002)

    Google Scholar 

  9. Pritchett, P., Zisserman, A.: Wide baseline stereo matching. In: Proc. International Conference on Computer Vision, pp. 754–760 (1998)

    Google Scholar 

  10. Schaffalitzky, F., Zisserman, A.: Viewpoint invariant texture matching and wide baseline stereo. In: Proc. 8th ICCV on Vancouver, Canada (July 2001)

    Google Scholar 

  11. Tordoff, B., Murray, D.: Guided sampling and consensus for motion estimation. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2350, pp. 82–96. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  12. Torr, P., Zisserman, A., Maybank, S.: Robust detection of degenerate configurations while estimating the fundamental matrix. CVIU 71(3), 312–333 (1998)

    Google Scholar 

  13. Torr, P.H.S.: Outlier Detection and Motion Segmentation. PhD thesis, Dept. of Engineering Science, University of Oxford (1995)

    Google Scholar 

  14. Torr, P.H.S., Zisserman, A.: MLESAC: A new robust estimator with application to estimating image geometry. Computer Vision and Image Understanding 78, 138–156 (2000)

    Article  Google Scholar 

  15. Tuytelaars, T., Van Gool, L.: Wide baseline stereo matching based on local, affinely invariant regions. In: Proc. 11th British Machine Vision Conference (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chum, O., Matas, J., Kittler, J. (2003). Locally Optimized RANSAC. In: Michaelis, B., Krell, G. (eds) Pattern Recognition. DAGM 2003. Lecture Notes in Computer Science, vol 2781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45243-0_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45243-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40861-1

  • Online ISBN: 978-3-540-45243-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics