Skip to main content

Affine Epipolar Direction from Two Views of a Planar Contour

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNIP,volume 4179)

Abstract

Most approaches to camera motion estimation from image sequences require matching the projections of at least 4 non-coplanar points in the scene. The case of points lying on a plane has only recently been addressed, using mainly projective cameras. We here study what can be recovered from two uncalibrated views of a planar contour under affine viewing conditions. We prove that the affine epipolar direction can be recovered provided camera motion is free of cyclorotation. The proposed method consists of two steps: 1) computing the affinity between two views by tracking a planar contour, and 2) recovering the epipolar direction by solving a second-order equation on the affinity parameters. Two sets of experiments were performed to evaluate the accuracy of the method. First, synthetic image streams were used to assess the sensitivity of the method to controlled changes in viewing conditions and to image noise. Then, the method was tested under more realistic conditions by using a robot arm to obtain calibrated image streams, which permit comparing our results to ground truth.

Keywords

  • Active Contour
  • Camera Motion
  • Synthetic Image
  • Camera Model
  • Epipolar Line

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This work is partially funded by the EU PACO-PLUS project FP6-2004-IST-4-27657.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beardsley, P.A., Zisserman, A., Murray, D.W.: Sequential updating of projective and affine structure from motion. Intl. J. of Computer Vision 23, 235–259 (1997)

    CrossRef  Google Scholar 

  2. McLauchlan, P.F., Murray, D.W.: A unifying framework for structure and motion recovery from image sequences. In: Proc. Intl. Conf. on Computer Vision, pp. 314–320 (1995)

    Google Scholar 

  3. Koenderink, J., van Doorn, A.J.: Affine structure from motion. J. Opt. Soc. Am. A 8, 377–385 (1991)

    CrossRef  Google Scholar 

  4. Shapiro, L., Zisserman, A., Brady, M.: 3d motion recovery via affine epipolar geometry. Intl. J. of Computer Vision 16, 147–182 (1995)

    CrossRef  Google Scholar 

  5. Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004)

    MATH  Google Scholar 

  6. Sturm, P., Maybank, S.J.: On plane-based camera calibration: a general algorithm, singularities, applications. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition, vol. 1, pp. 432–437 (1999)

    Google Scholar 

  7. Demirdjian, D., Zisserman, A., Horaud, R.: Stereo autocalibration from one plane. In: Proc. 6th European Conf. on Computer Vision, pp. 625–639 (2000)

    Google Scholar 

  8. Malis, E., Cipolla, R.: Camera self-calibration from unknown planar structures enforcing the multiview constraints between collineations. IEEE Trans. on Pattern Analysis and Machine Intelligence 24, 1268–1272 (2002)

    CrossRef  Google Scholar 

  9. Bartoli, A., Sturm, P., Horaud, R.: Structure and motion from two uncalibrated views using points on planes. In: Proc. 3rd. Intl. Conf. on 3D Digital Imaging and Modeling, Canada, pp. 83–90 (2001)

    Google Scholar 

  10. Kaminski, J.Y., Shashua, A.: On calibration and reconstruction from planar curves. In: Proc. European Conf. on Computer Vision, pp. 678–694 (2000)

    Google Scholar 

  11. Alberich-Carramiñana, M., Alenyá, G., Andrade-Cetto, J., Martínez, E., Torras, C.: Affine epipolar direction from two views of a planar contour. Technical Report IRI-DT-2005/03, Institute of Robotics (IRI) (2005)

    Google Scholar 

  12. Blake, A., Isard, M.: Active Contours. Springer, Heidelberg (1998)

    Google Scholar 

  13. Foley, J., van Dam, A., Feiner, S., Hughes, F.: Computer Graphics. Principles and Practice. Addison-Wesley Publishing Company, Reading (1996)

    MATH  Google Scholar 

  14. Alenyà, G., Martínez, E., Torras, C.: Fusing visual and inertial sensing to recover robot egomotion. Journal of Robotics Systems 21, 23–32 (2004)

    CrossRef  Google Scholar 

  15. Martínez, E., Torras, C.: Qualitative vision for the guidance of legged robots in unstructured environments. Pattern Recognition 34, 1585–1599 (2001)

    CrossRef  MATH  Google Scholar 

  16. Martínez, E., Torras, C.: Contour-based 3d motion recovery while zooming. Robotics and Autonomous Systems 44, 219–227 (2003)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Alberich-Carramiñana, M., Alenyà, G., Andrade-Cetto, J., Martínez, E., Torras, C. (2006). Affine Epipolar Direction from Two Views of a Planar Contour. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2006. Lecture Notes in Computer Science, vol 4179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11864349_86

Download citation

  • DOI: https://doi.org/10.1007/11864349_86

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44630-9

  • Online ISBN: 978-3-540-44632-3

  • eBook Packages: Computer ScienceComputer Science (R0)