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» Convergent discrete Laplace-Beltrami operators over surfaces
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IJCGA
2006
81views more  IJCGA 2006»
13 years 4 months ago
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for th...
Guoliang Xu
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 4 months ago
Convergent discrete Laplace-Beltrami operators over surfaces
The convergence problem of the Laplace-Beltrami operators plays an essential role in the convergence analysis of the numerical simulations of some important geometric partial diff...
Jyh-Yang Wu, Mei-Hsiu Chi, Sheng-Gwo Chen
COMPGEOM
2008
ACM
13 years 6 months ago
Discrete laplace operator on meshed surfaces
In recent years a considerable amount of work in graphics and geometric optimization used tools based on the Laplace-Beltrami operator on a surface. The applications of the Laplac...
Mikhail Belkin, Jian Sun, Yusu Wang
CAGD
2004
74views more  CAGD 2004»
13 years 4 months ago
Discrete Laplace-Beltrami operators and their convergence
The convergence property of the discrete Laplace
Guoliang Xu
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 3 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...