Skip to main content

Walking Appearance Manifolds without Falling Off

  • Conference paper
Neural Information Processing (ICONIP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4984))

Included in the following conference series:

  • 1213 Accesses

Abstract

Having a good description of an object’s appearance is crucial for good object tracking. However, modeling the whole appearance of an object is difficult because of the high dimensional and nonlinear character of the appearance. To tackle the first problem we apply nonlinear dimensionality reduction approaches on multiple views of an object in order to extract the appearance manifold of the object and to embed it into a lower dimensional space. The change of the appearance of the object over time then corresponds to a walk on the manifold, with view prediction reducing to a prediction of the next step on the manifold. An inherent problem here is to constrain the prediction to the embedded manifold. In this paper, we show an approach towards solving this problem by applying a special mapping which guarantees that low dimensional points are mapped only to high dimensional points lying on the appearance manifold.

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. Poggio, T., Edelman, S.: A network that learns to recognize three-dimensional objects. Nature 343, 263–266 (1990)

    Article  Google Scholar 

  2. Edelman, S., Buelthoff, H.: Orientation dependence in the recognition of familiar and novel views of 3D objects. Vision Research 32, 2385–2400 (1992)

    Article  Google Scholar 

  3. Ullman, S.: Aligning pictorial descriptions: An approach to object recognition. Cognition 32(3), 193–254 (1989)

    Article  MathSciNet  Google Scholar 

  4. Morency, L.P., Rahimi, A., Darrell, T.: Adaptive View-Based Appearance Models. In: Proceedings of CVPR 2003, vol. 1, pp. 803–812 (2003)

    Google Scholar 

  5. Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by Locally Linear Embedding. Science 290(5500), 2323–2326 (2000)

    Article  Google Scholar 

  6. Tenenbaum, J.B., de Silva, V., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science 290(5500), 2319–2323 (2000)

    Article  Google Scholar 

  7. Zhang, Z., Zha, H.: Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment. SIAM J. Sci. Comput. 26(1), 313–338 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  8. Elgammal, A., Lee, C.S.: Inferring 3D Body Pose from Silhouettes Using Activity Manifold Learning. In: Proceedings of CVPR 2004, vol. 2, pp. 681–688 (2004)

    Google Scholar 

  9. Lim, H., Camps, O.I., Sznaier, M., Morariu, V.I.: Dynamic Appearance Modeling for Human Tracking. In: Proceedings of CVPR 2006, pp. 751–757 (2006)

    Google Scholar 

  10. Liu, C.B., et al.: Object Tracking Using Globally Coordinated Nonlinear Manifolds. In: Proceedings of ICPR 2006, pp. 844–847 (2006)

    Google Scholar 

  11. Saul, L.K., Roweis, S.T.: Think globally, fit locally: unsupervised learning of low dimensional manifolds. Journal of Machine Learning Research 4, 119–155 (2003)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Masumi Ishikawa Kenji Doya Hiroyuki Miyamoto Takeshi Yamakawa

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Einecke, N., Eggert, J., Hellbach, S., Körner, E. (2008). Walking Appearance Manifolds without Falling Off. In: Ishikawa, M., Doya, K., Miyamoto, H., Yamakawa, T. (eds) Neural Information Processing. ICONIP 2007. Lecture Notes in Computer Science, vol 4984. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69158-7_68

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69158-7_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69154-9

  • Online ISBN: 978-3-540-69158-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics