Skip to main content

Quality Study of Robot Trajectories Based on the Anisotropic Fast Marching Method

  • Conference paper
  • First Online:
  • 2299 Accesses

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 693))

Abstract

Fast Marching Method has been applied to many fields such as image processing or path planning. For path planning, the Anisotropic Fast Marching Method can be used, which allows computing paths with small gradient, a very interesting characteristic for outdoor robots such as the Mars rovers. This paper studies the quality of the different paths that can be computed looking into the height changes, gradient of the path, gradient of the terrain (as surface) and curvature, when the anisotropy index is changed.

This is a preview of subscription content, log in via an 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   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
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

Learn about institutional subscriptions

References

  1. Volpe, R., Estlin, T., Laubach, S., Olson, C.: Enhanced mars rover navigation techniques. In: IEEE International Conference on Robotics and Automation, San Francisco, vol. 1, pp. 926–931 (2000)

    Google Scholar 

  2. Maimone, M.W., Leger, C., Biesiadecki, J.: Overview of the mars exploration rovers Áutonomous mobility and vision capabilities. In: IEEE International Conference on Robotics and Automation, Space Robotics Workshop, Roma (2007)

    Google Scholar 

  3. Carsten, J., Rankin, A., Ferguson, D., Stentz, A.: Global path planning on board the mars exploration rovers. In: IEEE Aerospace Conference, Big Sky, pp. 1–11 (2007)

    Google Scholar 

  4. Rekleitis, I., Bedwani, J.L., Dupuis, E., Allard, P.: Path planning for planetary exploration. In: Canadian Conference on Computer and Robot Vision, Windsor, pp. 61–68 (2008)

    Google Scholar 

  5. Ishigami, G., Nagatani, K., Yoshida, K.: Path planning for planetary exploration rovers and its evaluation based on wheel slip dynamics of the terrain. In: IEEE International Conference on Robotics and Automation, Roma, pp. 2361–2366 (2007)

    Google Scholar 

  6. Potiris, S., Tompkins, A., Goktogan, A.: Terrain-based path planning and following for an experimental mars rover. In: Australasian Conference on Robotics and Automation, Melbourne, pp. 1–10 (2014)

    Google Scholar 

  7. Gennery, D.B.: Traversability analysis and path planning for a planetary rover. Auton. Robots 6, 131–146 (1999)

    Article  Google Scholar 

  8. Valero-Gomez, A., Gomez, J.V., Garrido, S., Moreno, L.: The path to efficiency: fast marching method for safer, more efficient mobile robot trajectories. IEEE Robot. Autom. Mag. 20(4), 111–120 (2013)

    Article  Google Scholar 

  9. Gómez, J.V., Álvarez, D., Garrido, S., Moreno, L.: Fast methods for eikonal equations: an experimental survey (2015). arXiV:1506.03771

  10. Sethian, J.A.: Theory, algorithms and aplications of level set methods for propagating interfaces. Acta Numerica 5, 309–395 (1996). Cambridge University Press

    Article  MATH  Google Scholar 

  11. Yatziv, L., Bartesaghi, A., Sapiro, G.: A fast o(n) implementation of the fast marching algorithm. J. Comput. Phys. 212, 393–399 (2005)

    Article  MATH  Google Scholar 

  12. Sethian, J.: Level Set Methods. Cambridge University Press, Cambridge (1996)

    MATH  Google Scholar 

  13. Spivak, M.: A Comprehensive Introduction to Differential Geometry. Publish or Perish, Boston (1975)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Santiago Garrido .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Garrido, S., Moreno, L., Martin, F., Alvarez, D. (2018). Quality Study of Robot Trajectories Based on the Anisotropic Fast Marching Method. In: Ollero, A., Sanfeliu, A., Montano, L., Lau, N., Cardeira, C. (eds) ROBOT 2017: Third Iberian Robotics Conference. ROBOT 2017. Advances in Intelligent Systems and Computing, vol 693. Springer, Cham. https://doi.org/10.1007/978-3-319-70833-1_72

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70833-1_72

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70832-4

  • Online ISBN: 978-3-319-70833-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics