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JMIV
2008
56views more  JMIV 2008»
13 years 4 months ago
Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds
We present new sampling theorems for surfaces and higher dimensional manifolds. The core of the proofs resides in triangulation results for manifolds with boundary, not necessarily...
Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi
GRC
2008
IEEE
13 years 6 months ago
Neighborhood Smoothing Embedding for Noisy Manifold Learning
Manifold learning can discover the structure of high dimensional data and provides understanding of multidimensional patterns by preserving the local geometric characteristics. Ho...
Guisheng Chen, Junsong Yin, Deyi Li
VISUALIZATION
2005
IEEE
13 years 10 months ago
Reconstructing Manifold and Non-Manifold Surfaces from Point Clouds
This paper presents a novel approach for surface reconstruction from point clouds. The proposed technique is general in the sense that it naturally handles both manifold and non-m...
Jianning Wang, Manuel M. Oliveira, Arie E. Kaufman
CGF
2000
155views more  CGF 2000»
13 years 4 months ago
Surface Reconstruction Based on Lower Dimensional Localized Delaunay Triangulation
We present a fast, memory efficient algorithm that generates a manifold triangular mesh S passing through a set of unorganized points P R3 . Nothing is assumed about the geometry,...
M. Gopi, Shankar Krishnan, Cláudio T. Silva
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