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» Sampling on locally defined principal manifolds
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ICASSP
2011
IEEE
12 years 8 months ago
Sampling on locally defined principal manifolds
We start with a locally defined principal curve definition for a given probability density function (pdf) and define a pairwise manifold score based on local derivatives of the...
Erhan Bas, Deniz Erdogmus
ICCV
2009
IEEE
14 years 9 months ago
Dimensionality Reduction and Principal Surfaces via Kernel Map Manifolds
We present a manifold learning approach to dimensionality reduction that explicitly models the manifold as a mapping from low to high dimensional space. The manifold is represen...
Samuel Gerber, Tolga Tasdizen, Ross Whitaker
WSCG
2003
154views more  WSCG 2003»
13 years 5 months ago
Direction Fields over Point-Sampled Geometry
We describe techniques to establish local frames over point-sampled manifold surfaces. The tangential alignment of local frames is determined using a wave front algorithm starting...
Marc Alexa, Tobias Klug, Carsten Stoll
ICCV
2007
IEEE
13 years 11 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
ICCV
2005
IEEE
14 years 6 months ago
Neighborhood Preserving Embedding
Recently there has been a lot of interest in geometrically motivated approaches to data analysis in high dimensional spaces. We consider the case where data is drawn from sampling...
Xiaofei He, Deng Cai, Shuicheng Yan, HongJiang Zha...