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Manifold of Facial Expression
Nice, France October 17-October 17
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/AMFG.2003.1240820IEEE International Workshop on Analys ...
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Ya Chang, University of California, Santa Barbara
Changbo Hu, University of California, Santa Barbara
Matthew Turk, University of California, Santa Barbara
In this paper, we propose the concept of Manifold of Facial Expression based on the observation that images of a subject?s facial expressions define a smooth manifold in the high dimensional image space. Such a manifold representation can provide a unified framework for facial expression analysis. We first apply Active Wavelet Networks (AWN) on the image sequences for facial feature localization. To learn the structure of the manifold in the feature space derived by AWN, we investigated two types of embeddings from a high dimensional space to a low dimensional space: locally linear embedding (LLE) and Lipschitz embedding. Our experiments show that LLE is suitable for visualizing expression manifolds. After applying Lipschitz embedding, the expression manifold can be approximately considered as a super-spherical surface in the embedding space. For manifolds derived from different subjects, we propose a nonlinear alignment algorithm that keeps the semantic similarity of facial expression from different subjects on one generalized manifold. We also show that nonlinear alignment outperforms linear alignment in expression classification.
Citation:
Ya Chang, Changbo Hu, Matthew Turk, "Manifold of Facial Expression," amfg, pp.28, IEEE International Workshop on Analysis and Modeling of Faces and Gestures, 2003
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