Skip to main content

Observability of Perspective Systems a New Approach to Computer Vision

  • Chapter
Computation and Control II

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 11))

  • 140 Accesses

Abstract

The problem of computer vision that we consider in this paper may be sumMarized as follows. We have a rigid body which rotates and Translates with constant angular and linear velocities respectively. The velocities are assumed to be unknown. The vision problem is to identify these unknown parameters (hereafter referred to as motion parameters) by observing the perspective projections of the moving object on a screen. Typically however, the motion parameters are identified not from the projection of the entire object but possibly from the projections of certain features on the object. In this paper, such a feature is considered to be a straight line or a planar polynomial curve of degree 2. Other possibilities can be treated analogously.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
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. R. Y. Tsai and T. S. Huang, “Uniqueness and Estimation of Three Dimensional Motion Parameters of Rigid Objects with Curved Surfaces,” IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 6 No. 1, January 1984.

    Google Scholar 

  2. Y. Liu, “Rigid Object Motion Estimation from Intensity Images Using Straight Line Correspondences,” Ph.D. dissertation, University of Illinois at Urbana-Champaign, 1990.

    Google Scholar 

  3. Y. Lin and T. S. Huang, “Determination of Camera Location from 2D to 3D Line and Point Correspondences,” IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 12, No. 1, January 1990.

    Google Scholar 

  4. M. Spetsakis and J. Aloimonos, “Closed Form SoLution to the Structure from Motion Problem from Line Correspondences,” in Proc. Sixth AAAI National Conference on Artificial Intelligence, Seattle, Washington, July, 1987, pp. 738–743.

    Google Scholar 

  5. M. Dhome, M. Richetin, J-T LAPRESTÉ and G. RIVES, “Determination of the Attitude of 3D Objects from A Single Perspective View,” IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 11, No. 12, Dec. 1989.

    Google Scholar 

  6. S. Ganguly, B. Ghosh, T. J. Tarn, and A. K. Bejczy, “Estimation of Motion and Shape Parameters of a Rigid Body from its Orthogonal and Perspective Projections.”

    Google Scholar 

  7. Y. Yasumoto and G. Medioni, “Robust Estimation of Three-Dimensional Motion Parameters from a Sequence of Image Frames Using Regulation”, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 8, No. 4 July 1986.

    Google Scholar 

  8. J. Wu, “Motion Estimation from Image Sequences,” Ph.D. Thesis, Harvard University, 1987.

    Google Scholar 

  9. R. W. Brockett, “Finite Dimensional Linear Systems,” John Wiley and Sons, Inc., 1970.

    Google Scholar 

  10. S. Helgason, “Differential geometry, Lie groups and symmetric spaces,” New York: Academic Proess, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Ghosh, B.K., Wu, Y.T. (1991). Observability of Perspective Systems a New Approach to Computer Vision. In: Bowers, K., Lund, J. (eds) Computation and Control II. Progress in Systems and Control Theory, vol 11. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0427-5_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0427-5_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3611-1

  • Online ISBN: 978-1-4612-0427-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics