[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Log in

Quasi-Euclidean epipolar rectification of uncalibrated images

  • Original Paper
  • Published:
Machine Vision and Applications Aims and scope Submit manuscript

Abstract

This paper deals with the problem of epipolar rectification in the uncalibrated case. First the calibrated (Euclidean) case is recognized as the ideal one, then we observe that in that case images are transformed with a collineation induced by the plane at infinity, which has a special structure. Hence, that structure is imposed to the sought transformation while minimizing a rectification error. Experiments show that this method yields images that are close to the ones produced by Euclidean rectification.

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

Access this article

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Al-Zahrani A., Ipson S.S., Haigh J.G.B.: Applications of a direct algorithm for the rectification of uncalibrated images. Inf. Sci. Inf. Comput. Sci. 160(1–4), 53–71 (2004)

    MathSciNet  Google Scholar 

  2. Fusiello A., Trucco E., Verri A.: A compact algorithm for rectification of stereo pairs. Mach. Vis. Appl. 12(1), 16–22 (2000)

    Article  Google Scholar 

  3. Gluckman, J., Nayar, S.K.: Rectifying transformations that minimize resampling effects. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, vol. 1, p. 111 (2001)

  4. Hartley, R., Gupta, R.: Computing matched-epipolar projections. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 549–555, New York, NY, June 15–17 (1993)

  5. Hartley R., Zisserman A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  6. Hartley R.I.:Estimation of relative camera position for uncalibrated cameras. In: Proceedings of the European Conference on Computer Vision, pp. 579–587, Santa Margherita L. (1992)

  7. Hartley R.I.: Theory and practice of projective rectification. Int. J. Comput. Vis. 35(2), 1–16 (1999)

    Article  MathSciNet  Google Scholar 

  8. Heyden A., Pollefeys M.: Multiple view geometry. In: Medioni, G., Kang, S.B. Emerging Topics in Computer Vision, pp. 45–107. Prentice Hall, USA (2005)

  9. Yu Y.-H., Wu H.-H.P.: Projective rectification with reduced geometric distortion for stereo vision and stereoscopic video. J. Intell. Robot. Syst. 42(1), 71–94 (2005)

    Article  Google Scholar 

  10. Irani, M., Anandan, P., Hsu, S.: Mosaic based representations of video sequences and their applications. In: Proceedings of the International Conference on Computer Vision, pp. 605–611 (1995)

  11. Isgrò, F., Trucco E.: Projective rectification without epipolar geometry. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. I:94–99, Fort Collins, CO, June 23–25 (1999)

  12. Laveau, S., Faugeras, O.: 3-D scene representation as a collection of images. In: Proceedings of the International Conference on Pattern Recognition, vol. 1, pp. 689–691 (1994)

  13. Loop, C., Zhang, Z.: Computing rectifying homographies for stereo vision. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. I:125–131, Fort Collins, CO, June 23–25 (1999)

  14. Lowe D.G.: Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vis. 60(2), 91–110 (2004)

    Article  Google Scholar 

  15. Luong Q.-T., Faugeras O.D.: The fundamental matrix: theory, algorithms, and stability analysis. Int. J. Comput. Vis. 17, 43–75 (1996)

    Article  Google Scholar 

  16. Mallon J., Whelan P.F.: Projective rectification from the fundamental matrix. Image Vis. Comput. 23(7), 643–650 (2005)

    Article  Google Scholar 

  17. Robert, L., Buffa, M., Hebert, M.: Weakly-calibrated stereo perception for rover navigation. In: ICCV, pp. 46–51 (1995)

  18. Sturm, P.: On focal length calibration from two views. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, vol. II, pp. 145–150, Kauai, USA (2001)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrea Fusiello.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fusiello, A., Irsara, L. Quasi-Euclidean epipolar rectification of uncalibrated images. Machine Vision and Applications 22, 663–670 (2011). https://doi.org/10.1007/s00138-010-0270-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00138-010-0270-3

Keywords

Navigation