Affine reconstruction from perspective image pairs obtained by a translating camera | SpringerLink
Skip to main content

Affine reconstruction from perspective image pairs obtained by a translating camera

  • Recovery
  • Conference paper
  • First Online:
Applications of Invariance in Computer Vision (AICV 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 825))

Abstract

The three-dimensional structure of a scene consisting of at least five points whose images are identified in two perspective views taken from different positions with a relative object-camera translation in between, can be reconstructed up to a 3D affine transformation. Hence, a more detailed reconstruction is possible using less information when compared to the results reported on arbitrary stereo views with uncalibrated, perspective cameras. The forementioned result is then further specialised towards single views of objects containing parallel structures and translations in camera coordinate planes. In the former case four points suffice for affine reconstruction, whereas the latter case allows the direct use of relatively simple stereo coordinates.

Theo Moons and Eric Pauwels are supported by a Post-Doctoral Research grant from the Belgian National Fund for Scientific Research (N.F.W.O). The support by Esprit Basic Research Action 6448 ‘VIVA’ and the co-financing by the Flemish government are gratefully acknowledged.

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.

Similar content being viewed by others

References

  1. O. Faugeras, What can be seen in three dimensions with an uncalibrated stereo rig, Proc. 2nd European Conf. Computer Vision, pp. 563–578, 1992.

    Google Scholar 

  2. O. Faugeras, Q. Luong, and S. Maybank, Camera self-calibration: theory and experiments, Proc. 2nd European Conf. Computer Vision, pp. 321–334, 1992.

    Google Scholar 

  3. C. Harris, Geometry from visual motion, in: Blake and Yuille (eds.), Active Vision, pp. 263–284, MIT Press, 1992.

    Google Scholar 

  4. R. Hartley, Euclidean reconstruction from uncalibrated views, in: J. Mundy and A. Zisserman, Applications of Invariance for Computer Vision II, Proceedings of the Second ESPRIT — ARPA/NSF Workshop on Invariance, Ponta Delgada, Azores, 9–14 October 1993, pp. 187–202.

    Google Scholar 

  5. J.J. Koenderink and A.J. van Doorn, Affine structure from motion, J. Opt. Soc. Am. A, Vol. 8 (1991), pp. 377–385.

    PubMed  Google Scholar 

  6. S. Maybank, Ambiguity in reconstruction from image correspondences, in: Goos, Hartmanis, and Faugeras (eds.), Lecture Notes in Computer Science, pp. 177–186, Springer-Verlag, Berlin/Heidelberg/New York/Tokyo, 1990.

    Google Scholar 

  7. R. Mohr, F. Veillon, and L. Quan, Relative 3D reconstruction using multiple uncalibrated images, Proc. Conf. Computer Vision and Pattern Recognition, pp. 543–548, 1993.

    Google Scholar 

  8. T. Moons, E.J. Pauwels, L.J. Van Gool, M.H. Brill and E.B. Barrett, Recognizing 3D curves from a stereo pair of images: a semi-differential approach, in: O. Ying-Lie, A. Toet, H.J.A.M. Heijmans, D.H. Foster, and P. Meer (eds.), SHAPE IN PICTUREMathematical description of shape in greylevel images, Springer Verlag, Berlin/Heidelberg/New York/Tokyo, 1994, pp. 433–442.

    Google Scholar 

  9. T. Moons, L. Van Gool, M. Van Diest, and E. Pauwels, Affine structure from perspective image pairs under relative translations between object and camera, Technical Report KUL/ESAT/MI2/9306, Katholieke Universiteit Leuven, 1993.

    Google Scholar 

  10. T. Moons, L. Van Gool, M. Van Diest, and E. Pauwels, Affine reconstruction from perspective image pairs, in: J. Mundy and A. Zisserman, Applications of Invariance for Computer Vision II, Proceedings of the Second ESPRIT — ARPA/NSF Workshop on Invariance, Ponta Delgada, Azores, 9–14 October 1993, pp. 249–266.

    Google Scholar 

  11. J. Mundy, Repeated structures: image correspondence constraints and ambiguity of 3D reconstruction, in: J. Mundy and A. Zisserman, Applications of Invariance for Computer Vision II, Proceedings of the Second ESPRIT — ARPA/NSF Workshop on Invariance, Ponta Delgada, Azores, 9–14 October 1993, pp. 51–64.

    Google Scholar 

  12. C. Rothwell, D. Forsyth, A. Zisserman, and J. Mundy, Extracting projective structure from single perspective views of 3D point sets, Proc. Int. Conf. Computer Vision, pp. 573–582, 1993.

    Google Scholar 

  13. A.A. Sagle, and R.E. Walde, Introduction to Lie Groups and Lie Algebras, Pure and Applied Mathematics, Vol. 51, Academic Press, New York, 1973.

    Google Scholar 

  14. A. Shashua, On geometric and algebraic aspects of 3D affine and projective structures from perspective 2D views, in: J. Mundy and A. Zisserman, Applications of Invariance for Computer Vision II, Proceedings of the Second ESPRIT — ARPA/NSF Workshop on Invariance, Ponta Delgada, Azores, 9–14 October 1993, pp. 87–112.

    Google Scholar 

  15. L. Van Gool, P. Kempenaers, and A. Oosterlinck, Recognition and semi-differential invariants, IEEE Conf. on Computer Vision and Pattern Recognition, pp. 454–460, 1991.

    Google Scholar 

  16. L. Van Gool, T. Moons, E. Pauwels, and A. Oosterlinck, Semi-differential invariants, Chapter 8, pp. 157–192, in: J.L. Mundy and A. Zisserman (eds.), Geometric Invariance in Computer Vision, MIT Press, Cambridge, Massachusetts, 1992.

    Google Scholar 

  17. L.J. Van Gool, M.H. Brill, E.B. Barrett, T. Moons, and E.J. Pauwels, Semi-differential invariants for nonplanar curves, Chapter 15, pp. 293–309, in: J.L. Mundy and A. Zisserman (eds.), Geometric Invariance in Computer Vision, MIT Press, Cambridge, Massachusetts, 1992.

    Google Scholar 

  18. G.-Q. Wei and Song De Ma, A complete two-plane camera calibration method and experimental comparisons, Proc. 4th Int. Conf. Computer Vision, pp. 439–446, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joseph L. Mundy Andrew Zisserman David Forsyth

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Moons, T., Van Gool, L., Van Diest, M., Pauwels, E. (1994). Affine reconstruction from perspective image pairs obtained by a translating camera. In: Mundy, J.L., Zisserman, A., Forsyth, D. (eds) Applications of Invariance in Computer Vision. AICV 1993. Lecture Notes in Computer Science, vol 825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58240-1_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-58240-1_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58240-3

  • Online ISBN: 978-3-540-48583-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics