Skip to main content

Part of the book series: Springer Series in Information Sciences ((SSINF,volume 29))

  • 155 Accesses

Abstract

The trajectory of a moving object can be used to understand the motion pattern and predict future motion. In this chapter, we investigate the issues related to motion modeling, understanding and prediction. Based on dynamics, a locally constant angular momentum (LCAM) model is introduced. The model is local in the sense that it is applied to a limited number of image frames at a time. Specifically, the model constrains the motion, over a local frame subsequence, to be a superposition of precession and translation. Thus, the instantaneous rotation axis of the object is allowed to change with time. The trajectory of the rotation center is approximated by a vector polynomial. The parameters of the model evolve in time so that they can adapt to long term changes in motion characteristics. Based on the assumption that the motion is smooth, object positions and motion in the near future can be predicted, and short missing subsequences can be recovered.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O. Bottema, B. Roth: Theoretical Kinematics (North-Holland, New York, 1979)

    MATH  Google Scholar 

  2. W. L. Brogan: Modern Control Theory (Prentice-Hall, New Jersey, 1982)

    Google Scholar 

  3. T. J. Broida, R. Chellappa: Estimation of object motion parameters from noisy images. IEEE Trans. Pattern Anal. Machine Intell., 8, 90–99 (1986)

    Article  Google Scholar 

  4. T. J. Broida, R. Chellappa: Kinematics and structure of a rigid object from a sequence of noisy images, in Proc. IEEE Workshop on Motion: Representation and Analysis (IEEE Computer Soc. Press, Washington D.C. 1986) pp. 95–100

    Google Scholar 

  5. B. A. Conway, J. E. Tulinglowski, P. D. Webber: Dynamics of remote orbital capture, in Proc. AAS/AIAA Astrodynamics Specialist Conference (1983)

    Google Scholar 

  6. G. R. Fowles, Analytical Mechanics, 3rd ed. (Holt, Rinehart and Winston, Now York, 1977)

    Google Scholar 

  7. T. S. Huang, J. Weng, N. Ahuja: 3-D motion from image sequences: modeling, understanding and prediction, in Proc. IEEE Workshop on Motion: Representation and Analysis (IEEE Computer Soc. Press, Washington D.C. 1986)

    Google Scholar 

  8. M. H. Kaplan, A. A. Nadkarni: Control and stability problems of remote orbital capture. Mechanism and Machine Theory, 12 57–64 (1977)

    Article  Google Scholar 

  9. C. L. Lawson, R. J. Hanson: Solving Least Squares Problems (Prentice-Hall, New Jersey, 1974)

    MATH  Google Scholar 

  10. W. D. Macmillan: Dynamics of Rigid Bodies (Mcgraw-Hill, New Jersey, 1936)

    MATH  Google Scholar 

  11. S. Ullman: The Interpretation of Visual Motion (MIT press, Cambridge, MA, 1979)

    Google Scholar 

  12. J. Weng, T. S. Huang, N. Ahuja: 3-D motion estimation, understanding and prediction from noisy image sequences. IEEE Trans. Pattern Anal. Machine Intell., 9, 370–389 (1987)

    Google Scholar 

  13. Y. Yasumoto, G. Medioni, Robust estimation of three- dimensional motion parameters from a sequence of image frames using regularization. IEEE Trans. Pattern Anal. Machine Intell., 8, 464–471 (1986)

    Article  Google Scholar 

  14. G. S. Young, R. Chellappa, 3-D motion estimation using a sequence of noisy stereo images: models, estimation, and uniqueness results. IEEE Trans. Pattern Anal. Machine Intell., 12, 735–759 (1990)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Weng, J., Huang, T.S., Ahuja, N. (1993). Motion Modeling and Prediction. In: Motion and Structure from Image Sequences. Springer Series in Information Sciences, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77643-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77643-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77645-8

  • Online ISBN: 978-3-642-77643-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics