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» Discrete laplace operator on meshed surfaces
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COMPGEOM
2008
ACM
14 years 28 days 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
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 10 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
SGP
2007
14 years 1 months ago
Discrete laplace operators: no free lunch
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators th...
Max Wardetzky, Saurabh Mathur, Felix Kälberer...
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 9 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...
CVPR
2012
IEEE
12 years 1 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...