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NIPS
2001
13 years 8 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
ICCV
2007
IEEE
14 years 1 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
ICPR
2008
IEEE
14 years 1 months ago
Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting
The problem to reconstruct a surface given a finite set of boundary points is of growing interest, e.g. in the context of laser range images. While a lot of heuristic methods hav...
Peer Stelldinger
CAD
2005
Springer
13 years 7 months ago
A Delaunay-based region-growing approach to surface reconstruction from unorganized points
This paper presents a Delaunay-based region-growing (DBRG) surface reconstruction algorithm that holds the advantages of both Delaunay-based and region-growing approaches. The pro...
Chuan-Chu Kuo, Hong-Tzong Yau
COMPGEOM
2006
ACM
14 years 1 months ago
A sampling theory for compact sets in Euclidean space
Abstract We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size and the recently introduced weak feature size. Based on...
Frédéric Chazal, David Cohen-Steiner...