Skip to main content

A Dual Graph Pyramid Approach to Grid-Based and Topological Maps Integration for Mobile Robotics

  • Conference paper
Bio-Inspired Systems: Computational and Ambient Intelligence (IWANN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5517))

Included in the following conference series:

  • 1662 Accesses

Abstract

A pyramid is a hierarchy of successively reduced graphs which represents the contents of a base graph at multiple levels of abstraction. The efficiency of the pyramid to represent the information is strongly influenced by the graph selected to encode the information within each pyramid level (data structure) and the scheme used to build one graph from the graph below (decimation process). In this paper, the dual graph data structure and the maximal independent edge set (MIES) decimation process are applied in the context of robot navigation. The aim is to integrate the grid-based and the topological paradigms for map building. In this proposal, dual graphs allow to correctly represent the embedding of the topological map into the metric one.

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

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. Borges, G.A., Aldon, M.J.: Optimal mobile robot pose estimation using geometrical maps. IEEE Trans. Robotics Automation 18, 87–94 (2002)

    Article  Google Scholar 

  2. Lemaire, T., Berger, C., Jung, I., Lacroix, S.: Vision-based SLAM: stereo and monocular approaches. Int. Journal Computer Vision 74 (2007)

    Google Scholar 

  3. Thrun, S.: Learning metric-topological maps for indoor mobile robot navigation. Artificial Intelligence 99, 21–71 (1998)

    Article  MATH  Google Scholar 

  4. Zivkovic, Z., Bakker, B., Kröse, B.: Hierarchical map building and planning based on graph partitioning. In: Proc. IEEE Int. Conf. Robotics and Automation (2006)

    Google Scholar 

  5. Košecká, J., Li, F., Yang, X.: Global localization and relative positioning based on scale-invariant keypoints. Robotics and Autonomous Systems 52, 27–38 (2007)

    Google Scholar 

  6. Ranganathan, A., Menegatti, E., Dellaert, F.: Bayesian inference in the space of topological maps. IEEE Trans. Robotics, 92–107 (2006)

    Google Scholar 

  7. Blanco, J.L., Fernández-Madrigal, J.A., González, J.: A new approach for large-scale localization and mapping: hybrid metric-topological SLAM. In: IEEE Int. Conf. Robotics Automation, pp. 2061–2067 (2007)

    Google Scholar 

  8. Moravec, H., Elfes, A.: High resolution maps from wide angle sonar. In: Proc. IEEE Int. Conf. Robotics and Automation, pp. 116–121 (1985)

    Google Scholar 

  9. Haxhimusa, Y., Kropatsch, W.G.: Segmentation graph hierachies. In: Proc. Joint IAPR Int. Workshop Syntactical Structural Pattern Recognition and Statistical Pattern Recognition, pp. 343–351 (2004)

    Google Scholar 

  10. Kropatsch, W.G.: From equivalent weighting functions to equivalent contraction kernels. In: Wenger, E., Dimitrov, L.I. (eds.) Digital Image Processing and Computer Graphics: Applications in Humanities and Natural Sciences, vol. 3346, pp. 310–320 (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pérez-Lorenzo, J.M., Vázquez-Martín, R., Antúnez, E., Bandera, A. (2009). A Dual Graph Pyramid Approach to Grid-Based and Topological Maps Integration for Mobile Robotics. In: Cabestany, J., Sandoval, F., Prieto, A., Corchado, J.M. (eds) Bio-Inspired Systems: Computational and Ambient Intelligence. IWANN 2009. Lecture Notes in Computer Science, vol 5517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02478-8_98

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02478-8_98

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02477-1

  • Online ISBN: 978-3-642-02478-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics