Skip to main content

Pose Estimation from Uncertain Omnidirectional Image Data Using Line-Plane Correspondences

  • Conference paper
  • 2218 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4174))

Abstract

Omnidirectional vision is highly beneficial for robot navigation. We present a novel perspective pose estimation for omnidirectional vision involving a parabolic central catadioptric sensor using line-plane correspondences. We incorporate an appropriate and approved stochastic method to deal with uncertainties in the data.

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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aliaga, D.G.: Accurate catadioptric calibration for real-time pose estimation of room-size environments. In: International Conference on Computer Vision (ICCV), pp. 127–134 (2001)

    Google Scholar 

  2. Angles, P.: Construction de revêtements du groupe conforme d’un espace vectoriel muni d’une ≪métrique≫ de type (p, q). Ann. Inst. Henri Poincaré 33(1), 33–51 (1980)

    MATH  MathSciNet  Google Scholar 

  3. Ansar, A., Daniilidis, K.: Linear Pose Estimation from Points or Lines. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2353, pp. 282–296. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Cauchois, C., Brassart, E., Delahoche, L., Drocourt, C.: Spatial localization method with omnidirectional vision. In: 11th IEEE International Conference on Advanced Robotics (ICAR), Coimbra, Portugal, pp. 287–292 (2003)

    Google Scholar 

  5. Faugeras, O.: Three-Dimensional Computer Vision. MIT Press, Cambridge (1993)

    Google Scholar 

  6. Gaspar, J., Santos-Victor, J.: Vision-based navigation and enviromental representations with an omni-directional camera. IEEE Transactions on Robotics and Automation 16(6), 890–898 (2000)

    Article  Google Scholar 

  7. Geyer, C., Daniilidis, K.: Catadioptric projective geometry. International Journal of Computer Vision 45(3), 223–243 (2001)

    Article  MATH  Google Scholar 

  8. Hestenes, D., Sobczyk, G.: Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics. Reidel, Dordrecht (1984)

    MATH  Google Scholar 

  9. Koch, K.-R.: Parameter Estimation and Hypothesis Testing in Linear Models. Springer, Heidelberg (1997)

    Google Scholar 

  10. Nayar, S.K., Peri, V.: Folded catadioptric cameras. In: Conference on Computer Vision and Pattern Recognition (CVPR), Ft. Collins, CO, USA, pp. 217–223 (1999)

    Google Scholar 

  11. Perwass, C., Gebken, C., Grest, D.: CLUCalc (2006), http://www.clucalc.info/

  12. Perwass, C., Gebken, C., Sommer, G.: Estimation of Geometric Entities and Operators from Uncertain Data. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol. 3663, pp. 459–467. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  13. Rosenhahn, B., Sommer, G.: Pose estimation in conformal geometric algebra, part I: The stratification of mathematical spaces, part II: Real-time pose estimation using extended feature concepts. Journal of Mathematical Imaging and Vision 22, 27–70 (2005)

    Article  MathSciNet  Google Scholar 

  14. Tolvanen, A., Perwass, C., Sommer, G.: Projective Model for Central Catadioptric Cameras Using Clifford Algebra. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol. 3663, pp. 192–199. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gebken, C., Tolvanen, A., Sommer, G. (2006). Pose Estimation from Uncertain Omnidirectional Image Data Using Line-Plane Correspondences. In: Franke, K., Müller, KR., Nickolay, B., Schäfer, R. (eds) Pattern Recognition. DAGM 2006. Lecture Notes in Computer Science, vol 4174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861898_59

Download citation

  • DOI: https://doi.org/10.1007/11861898_59

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44412-1

  • Online ISBN: 978-3-540-44414-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics