Skip to main content

Points-based Visual Servoing with Central Cameras

  • Chapter
Visual Servoing via Advanced Numerical Methods

Abstract

This chapter concerns hybrid visual servoing schemes from a set of points viewed by central camera. The main purpose is to decouple the velocity commands in order to obtain an adequate camera trajectory. The proposed schemes are modelfree since they are based on the homography matrix between two views. The rotational motions are controlled using the estimated orientation between the current and the desired positions of the robot, while the translational motions are controlled using the combination between image points (onto the sphere or into the normalized plane) and 3D information extracted from the homography matrix. Real-time experimental results with a cartesian manipulator robot are presented and show clearly the decoupling properties of the proposed approaches.

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. Barreto, J., Araujo, H.: Geometric properties of central catadioptric line images. In: 7th European Conference on Computer Vision, Copenhagen, Denmark, pp. 237–251 (2002)

    Google Scholar 

  2. Cervera, E., Pobil, A.P.D., Berry, F., Martinet, P.: Improving image-based visual servoing with three-dimensional features. International Journal of Robotics Research 22(10-11), 821–840 (2003)

    Google Scholar 

  3. Chaumette, F.: Potential problems of stability and convergence in image-based and position-based visual servoing. In: Kriegman, D., Hager, G., Morse, A. (eds.) The Confluence of Vision and Control. LNCIS, vol. 237, pp. 66–78. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  4. Chaumette, F.: Image moments: A general and useful set of features for visual servoing. IEEE Transaction on Robotics and Automation 20(4), 713–723 (2004)

    Google Scholar 

  5. Corke, P.I., Hutchinson, S.A.: A new partitioned approach to image-based visual servo control. IEEE Transaction on Robotics and Automation 17(4), 507–515 (2001)

    Article  Google Scholar 

  6. Courbon, J., Mezouar, Y., Eck, L., Martinet, P.: A generic fisheye camera model for robotic applications. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, San Diego, California, USA, pp. 1683–1688 (2007)

    Google Scholar 

  7. Espiau, B., Chaumette, F., Rives, P.: A new approach to visual servoing in robotics. IEEE Transaction on Robotics and Automation 8(3), 313–326 (1992)

    Article  Google Scholar 

  8. Faugeras, O., Lustman, F.: Motion and structure from motion in a piecewise planar environment. International Journal of Pattern Recognition and Artificial Intelligence 2(3), 485–508 (1988)

    Article  Google Scholar 

  9. Geyer, C., Daniilidis, K.: A unifying theory for central panoramic systems and practical implications. In: European Conference on Computer Vision, Dublin, Ireland, pp. 159–179 (2000)

    Google Scholar 

  10. Geyer, C., Daniilidis, K.: Mirrors in motion: Epipolar geometry and motion estimation. In: International Conference on Computer Vision, Nice, France, pp. 766–773 (2003)

    Google Scholar 

  11. Hadj-Abdelkader, H., Mezouar, Y., Andreff, N., Martinet, P.: 2 1/2 d visual servoing with central catadioptric cameras. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, Edmonton, Canada, pp. 2342–2347 (2005)

    Google Scholar 

  12. Hamel, T., Mahony, R.: Visual servoing of an under-actuated dynamic rigid body system: an image-based approach. IEEE Transaction on Robotics and Automation 18(2), 187–198 (2002)

    Article  Google Scholar 

  13. Iwatsuki, M., Okiyama, N.: A new formulation of visual servoing based on cylindrical coordinates system with shiftable origin. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, Lausanne, Switzerland, pp. 266–273 (2002)

    Google Scholar 

  14. Lee, J.S., Suh, I., You, B.J., Oh, S.R.: A novel visual servoing approach involving disturbance observer. In: IEEE International Conference on Robotics and Automation, Detroit, Michigan, pp. 269–274 (1999)

    Google Scholar 

  15. Malis, E., Chaumette, F.: 2 1/2 d visual servoing with respect to unknown objects through a new estimation scheme of camera displacement. International Journal of Computer Vision 37(1), 79–97 (2000)

    Article  MATH  Google Scholar 

  16. Malis, E., Chaumette, F.: Theoretical improvements in the stability analysis of a new class of model-free visual servoing methods. IEEE Transaction on Robotics and Automation 18(2), 176–186 (2002)

    Article  Google Scholar 

  17. Malis, E., Chaumette, F., Boudet, S.: 2 1/2 d visual servoing. IEEE Transaction on Robotics and Automation 15(2), 238–250 (1999)

    Article  Google Scholar 

  18. Marchand, E., Spindler, F., Chaumette, F.: Visp for visual servoing: a generic software platform with a wide class of robot control skills. IEEE Robotics and Automation Magazine 12(4), 40–52 (2005)

    Article  Google Scholar 

  19. Martinet, P., Daucher, N., Gallice, J., Dhome, M.: Robot control using 3d monocular pose estimation. In: Workshop on New Trends in Image Based Robot Servoing, IEEE/RSJ International Conference on Intelligent Robots and Systems, Grenoble, France, pp. 1–12 (1997)

    Google Scholar 

  20. Mezouar, Y., Chaumette, F.: Path planning for robust image-based control. IEEE Transaction on Robotics and Automation 18(4), 534–549 (2002)

    Article  Google Scholar 

  21. Rives, P., Azinheira, J.: Linear structures following by an airship using vanishing points and horizon line in a visual servoing scheme. In: IEEE International Conference on Robotics and Automation, New Orleans, Louisiana, pp. 255–260 (2004)

    Google Scholar 

  22. Samson, C., Espiau, B., Borgne, M.L.: Robot Control: The Task Function Approach. Oxford University Press, Oxford (1991)

    Google Scholar 

  23. Svoboda, T., Pajdla, T., Hlavac, V.: Motion estimation using central panoramic cameras. In: IEEE Conference on Intelligent Vehicles, Stuttgart, Germany, pp. 335–340 (1998)

    Google Scholar 

  24. Tahri, O., Chaumette, F., Mezouar, Y.: New decoupled visual servoing scheme based on invariants projection onto a sphere. In: IEEE International Conference on Robotics and Automation, Pasadena, CA, pp. 3238–3243 (2008)

    Google Scholar 

  25. Tatsambon Fomena, R., Chaumette, F.: Visual servoing from spheres using a spherical projection model. In: IEEE International Conference on Robotics and Automation, Roma, Italia, pp. 2080–2085 (2007)

    Google Scholar 

  26. Thuilot, B., Martinet, P., Cordesses, L., Gallice, J.: Position based visual servoing: keeping the object in the field of vision. In: IEEE International Conference on Robotics and Automation, Washington DC, USA, pp. 1624–1629 (2002)

    Google Scholar 

  27. Wilson, W., Hulls, C.W., Bell, G.: Relative end-effector control using cartesian position-based visual servoing. IEEE Transaction on Robotics and Automation 12(5), 684–696 (1996)

    Article  Google Scholar 

  28. Zhang, Z., Hanson, A.R.: Scaled euclidean 3d reconstruction based on externally uncalibrated cameras. In: IEEE Symposium on Computer Vision, Coral Gables, FL, pp. 37–42 (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer London

About this chapter

Cite this chapter

Hadj-Abdelkader, H., Mezouar, Y., Martinet, P. (2010). Points-based Visual Servoing with Central Cameras. In: Chesi, G., Hashimoto, K. (eds) Visual Servoing via Advanced Numerical Methods. Lecture Notes in Control and Information Sciences, vol 401. Springer, London. https://doi.org/10.1007/978-1-84996-089-2_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-84996-089-2_16

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84996-088-5

  • Online ISBN: 978-1-84996-089-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics