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.
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Poggio, T., Edelman, S.: A network that learns to recognize three-dimensional objects. Nature 343, 263–266 (1990)
Edelman, S., Buelthoff, H.: Orientation dependence in the recognition of familiar and novel views of 3D objects. Vision Research 32, 2385–2400 (1992)
Ullman, S.: Aligning pictorial descriptions: An approach to object recognition. Cognition 32(3), 193–254 (1989)
Morency, L.P., Rahimi, A., Darrell, T.: Adaptive View-Based Appearance Models. In: Proceedings of CVPR 2003, vol. 1, pp. 803–812 (2003)
Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by Locally Linear Embedding. Science 290(5500), 2323–2326 (2000)
Tenenbaum, J.B., de Silva, V., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science 290(5500), 2319–2323 (2000)
Zhang, Z., Zha, H.: Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment. SIAM J. Sci. Comput. 26(1), 313–338 (2004)
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)
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)
Liu, C.B., et al.: Object Tracking Using Globally Coordinated Nonlinear Manifolds. In: Proceedings of ICPR 2006, pp. 844–847 (2006)
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)
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© 2008 Springer-Verlag Berlin Heidelberg
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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
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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
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