[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content
Springer Nature Link
Log in

On the motion problem of a rigid planar patch and its invariance

  • Structure from Motion
  • Conference paper
  • First Online:
Recent Developments in Computer Vision (ACCV 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1035))

Included in the following conference series:

  • 212 Accesses

Abstract

Although theories for recovering the motion and structure of a planar patch are known, existing algorithms are quite sensitive to noise in the image data. This paper presents robust computing procedures for recovering the motion parameters. We introduce two new concepts: (1) a virtual plane that is normal to the translational vector, and (2) the ratio of the depths of a featured point at two different times. These two concepts drastically simplify the analysis of the motion problem and lead to simple and robust procedure for recovering the motion parameters.

This work was supported in part by the National Science Council, R.O.C under grant 81-0408-E-009-565.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Tsai, R. Y. and T.S. Huang (1982), ”Estimating Three-Dimensional Motion parameters of a Rigid Planar Patch II: Singular Value Decomposition”, IEEE Trans. Acoustic, Speech and Signal Processing, Vol. ASSP-30.

    Google Scholar 

  2. H.H. Nagel and B. Neumann, ”ON 3-D Reconstruction from Two Perspective Views”, Proc. IJCAI 81, Vol. II, Aug. 1981.

    Google Scholar 

  3. J.K. Aggarwal, ”Motion and Time-Varying Imagery-An Overview”, Proc. of IEEE Workshop on Motion: Representation and Analysis, 1986.

    Google Scholar 

  4. Bellman R. (1960), ”Introduction to Matrix Analysis”, McGraw-Hill, New York. p. 25.

    Google Scholar 

  5. Strang, G. (1980), ”Linear Algebra and Its Applications”, Academic Press, New York.

    Google Scholar 

  6. Parlett, B (1980), ”The Symmetric Eigenvalue Problem”, Prentice-Hall, New Jersey.

    Google Scholar 

  7. J. Fang and T.S. Huang, ”Some Experiments on Estimating the 3D Motion Parameters of a Rigid Body from two Consecutive Image Frames” IEEE Trans. Pattern Recognition and Machine Intelligence, Vol PAMI-6, NO. 5. 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan 30050 Republic of China

    Chia-Hoang Lee

Authors
  1. Chia-Hoang Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Stan Z. Li Dinesh P. Mital Eam Khwang Teoh Han Wang

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lee, CH. (1996). On the motion problem of a rigid planar patch and its invariance. In: Li, S.Z., Mital, D.P., Teoh, E.K., Wang, H. (eds) Recent Developments in Computer Vision. ACCV 1995. Lecture Notes in Computer Science, vol 1035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60793-5_70

Download citation

  • DOI: https://doi.org/10.1007/3-540-60793-5_70

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60793-9

  • Online ISBN: 978-3-540-49448-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation