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ICASSP
2011
IEEE
12 years 8 months ago
Linear manifold approximation based on differences of tangents
In this paper, we consider the problem of manifold approximation with affine subspaces. Our objective is to discover a set of low dimensional affine subspaces that represents ma...
Sofia Karygianni, Pascal Frossard
ICCV
2007
IEEE
13 years 10 months ago
Laplacian PCA and Its Applications
Dimensionality reduction plays a fundamental role in data processing, for which principal component analysis (PCA) is widely used. In this paper, we develop the Laplacian PCA (LPC...
Deli Zhao, Zhouchen Lin, Xiaoou Tang
ECCV
2004
Springer
14 years 6 months ago
Transformation-Invariant Embedding for Image Analysis
Abstract. Dimensionality reduction is an essential aspect of visual processing. Traditionally, linear dimensionality reduction techniques such as principle components analysis have...
Ali Ghodsi, Jiayuan Huang, Dale Schuurmans
ECCV
2010
Springer
13 years 8 months ago
Manifold Valued Statistics, Exact Principal Geodesic Analysis and the Effect of Linear Approximations
Manifolds are widely used to model non-linearity arising in a range of computer vision applications. This paper treats statistics on manifolds and the loss of accuracy occurring wh...
AMFG
2003
IEEE
244views Biometrics» more  AMFG 2003»
13 years 9 months ago
Manifold of Facial Expression
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 hig...
Ya Chang, Changbo Hu, Matthew Turk