Skip to main content

Geometric Robot Motion Strategies

  • Chapter
Book cover Recent Advances in Mechatronics
  • 2369 Accesses

Abstract

In robot motion planning in a space with obstacles, the goal is to find a collision-free path of robot from the starting to the target position. There are many approaches depending on types of obstacles, dimensionality of the space and restrictions for robot movements. Among the most frequently used are roadmap methods (visibility graphs, Voronoi diagrams, rapidly exploring random trees) and methods based on cell decomposition. A common feature of all these methods is the generating of trajectories composed from line segments. In this paper, we will show that generalised Voronoi diagrams can be used for fast generation of smooth paths sufficiently distant from obstacles.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. Aurenhammer, F.: Voronoi Diagrams – A Survey of a Fundamental Geometric Data Structure. ACM Computing Surveys 23(3), 345–405 (1991)

    Article  Google Scholar 

  2. de Berg, M., van Kreveld, M., Overmars, M., Schwarzkopf, O.: Computational Geometry: Algorithms and Applications. Springer, Berlin (2000)

    MATH  Google Scholar 

  3. Choset, H., Lynch, K.M., Hutchinson, S., et al.: Principles of Robot Motion: Theory, Algorithms, and Implementations (Intelligent Robotics and Autonomous Agents). MIT Press, Cambridge (2005)

    MATH  Google Scholar 

  4. Fortune, S.: Voronoi Diagrams and Delaunay Triangulations. In: Du, D.A., Hwang, F.K. (eds.) Euclidean Geometry and Computers, pp. 193–233. World Scientific Publishing, Singapore (1992)

    Google Scholar 

  5. LaValle, S.M.: Planning Algorithms. University Press, Cambridge (2006)

    MATH  Google Scholar 

  6. Okabe, A., Boots, B., Sugihara, K., Chiu, S.N.: Spatial Tessellations and Applications of Voronoi Diagrams. John Wiley & Sons, New York (2000)

    MATH  Google Scholar 

  7. Pich, V.: Application of Voronoi Diagrams in Robot Motion Planning (in Czech), Master Thesis, p. 64, Brno University of Technology (2008)

    Google Scholar 

  8. Šeda, M.: A Comparison of Roadmap and Cell Decomposition Methods in Robot Motion Planning. WSEAS Transactions on Systems and Control 2(2), 101–108 (2007)

    Google Scholar 

  9. Šeda, M.: From Exact Methods to Heuristics. Vědecké spisy VUT v Brně, Edice Habilitační a inaugurační spisy 276, 1–40 (2008)

    Google Scholar 

  10. Švec, P.: Using Methods of Computational Geometry in Robotics. PhD. Thesis, Brno University of Technology, p.135 (2007)

    Google Scholar 

  11. Zilouchian, A., Jamshidi, M.: Intelligent Control Systems Using Soft Computing Methodologies. CRC Press, Boca Raton (2001)

    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-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Šeda, M., Březina, T. (2010). Geometric Robot Motion Strategies. In: Brezina, T., Jablonski, R. (eds) Recent Advances in Mechatronics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05022-0_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-05022-0_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05021-3

  • Online ISBN: 978-3-642-05022-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics