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» Discrete Laplace-Beltrami operators and their convergence
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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 3 months ago
Convergence, Stability, and Discrete Approximation of Laplace Spectra
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...
Tamal K. Dey, Pawas Ranjan, Yusu Wang
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
14 years 5 days ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 6 months ago
Graph Laplacians and their convergence on random neighborhood graphs
Given a sample from a probability measure with support on a submanifold in Euclidean space one can construct a neighborhood graph which can be seen as an approximation of the subm...
Matthias Hein, Jean-Yves Audibert, Ulrike von Luxb...
DAM
2008
99views more  DAM 2008»
13 years 6 months ago
Boundary value problems on weighted networks
We present here a systematic study of general boundary value problems on weighted networks that includes the variational formulation of such problems. In particular, we obtain the...
Enrique Bendito, Angeles Carmona, Andrés M....
SIAMCO
2010
114views more  SIAMCO 2010»
13 years 26 days ago
Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
In arbitrary dimension, we consider the semi-discrete elliptic operator -2 t + AM , where AM is a finite difference approximation of the operator - x((x) x). For this operator we d...
Franck Boyer, Florence Hubert, Jérôme...