Skip to main content

Landmark-based robot motion planning

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 708))

Abstract

This paper considers a reduced version of the general motion planning problem with uncertainty and an implemented complete polynomial algorithm solving it. This algorithm computes a guaranteed plan by backchaining nondirectional preimages of the goal until one fully contains the set of possible initial positions of the robot. It assumes that “landmarks” are scattered across the workspace. Robot control and sensing are perfect within the fields of influence of these landmarks, while control is imperfect and sensing null outside these fields. We propose extensions of the planning algorithm that eliminate the need for several of these assumptions.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Briggs, A.J., “An efficient Algorithm for One-Step Planar Compliant Motion Planning with Uncertainty,” Proc. of the 5th Annual ACM Symp. on Computational Geometry, Saarbruchen, Germany, 1989, pp. 187–196.

    Google Scholar 

  2. Buckley, S.J., Planning and teaching Compliant Motion Strategies, Ph.D. Dissertation, Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA (1986).

    Google Scholar 

  3. Canny, J.F. and Reif, J., “New Lower Bound Techniques for Robot Motion Planning Problems,” 27th IEEE Symp. on Foundations of Computer Science, Los Angeles, CA, 1987, pp. 49–60.

    Google Scholar 

  4. Canny, J.F., “On Computability of Fine Motion Plans,” Proc. of the IEEE Int. Conf. on Robotics and Automation, Scottsdale, AZ, 1989, pp. 177–182.

    Google Scholar 

  5. Christiansen, A., Mason, M. and Mitchell, T.M., Learning Reliable Manipulation Strategies without Initial Physical Models, IEEE Int. Conf. on Robotics and Automation, Cincinnati, OH (1990).

    Google Scholar 

  6. Donald, B.R., “The Complexity of Planar Compliant Motion Planning Under Uncertainty,” Algorithmica, 5, 1990, pp. 353–382.

    Google Scholar 

  7. Donald, B.R. and Jennings, J., “Sensor Interpretation and Task-Directed Planning Using Perceptual Equivalence Classes,” Proc. of the IEEE Int. Conf. on Robotics and Automation, Sacramento, CA, 1991, pp. 190–197.

    Google Scholar 

  8. Erdmann, M., On Motion Planning with Uncertainty, Tech. Rep. 810, AI Lab., MIT, Cambridge, MA, 1984.

    Google Scholar 

  9. Friedman, J., Computational Aspects of Compliant Motion Planning, Ph.D. Dissertation, Report No. STAN-CS-91-1368, Dept. of Computer Science, Stanford University, Stanford, CA, 1991.

    Google Scholar 

  10. Latombe, J.C., Lazanas, A., and Shekhar, S., “Robot Motion Planning with Uncertainty in Control and Sensing,” Artificial Intelligence J., 52(1), 1991, pp. 1–47.

    Google Scholar 

  11. Lazanas, A., and Latombe, J.C., Landmark-Based Robot Navigation, Tech. Rep. STAN-CS-92-1428, Dept. of Computer Science, Stanford, CA, 1992.

    Google Scholar 

  12. Lazanas, A., and Latombe, J.C., Motion Planning with Controllable Directional Uncertainty, Tech. Rep., Dept. of Computer Science, Stanford, CA, 1992.

    Google Scholar 

  13. Levitt, T.S., Lawton, D.T., Chelberg, D.M. and Nelson, P.C., “Qualitative Navigation,” Image Understanding Workshop, Los Angeles, CA, 1987, pp. 447–465.

    Google Scholar 

  14. Lozano-Pérez, T., Mason, M.T. and Taylor, R.H., “Automatic Synthesis of Fine-Motion Strategies for Robots,” Int. J. of Robotics Research, 3(1), 1984, pp. 3–24.

    Google Scholar 

  15. Mahadevan, S. and Connell, J., Automatic Programming of Behavior-based Robots using Reinforcement Learning, IBM T.J. Watson Res. Rept. (1990).

    Google Scholar 

  16. Natarajan, B.K., The Complexity of Fine Motion Planning, Int. J. of Robotics Research, 7(2):36–42, 1988.

    Google Scholar 

  17. Schoppers, M.J., Representation and Automatic Synthesis of Reaction Plans, Ph.D. Dissertation, Dept. of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Christian Laugier

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lazanas, A., Latombe, JC. (1993). Landmark-based robot motion planning. In: Laugier, C. (eds) Geometric Reasoning for Perception and Action. GRPA 1991. Lecture Notes in Computer Science, vol 708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57132-9_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-57132-9_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57132-2

  • Online ISBN: 978-3-540-47913-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics