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» A Discrete Laplace-Beltrami Operator for Simplicial Surfaces
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DCG
2007
74views more  DCG 2007»
13 years 5 months ago
A Discrete Laplace-Beltrami Operator for Simplicial Surfaces
Alexander I. Bobenko, Boris Springborn
IJCGA
2006
81views more  IJCGA 2006»
13 years 5 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
CVPR
2012
IEEE
11 years 7 months ago
Geometric understanding of point clouds using Laplace-Beltrami operator
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zha...
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...