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CORR
2010
Springer
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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...
COMPGEOM
2008
ACM
14 years 18 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
ISBI
2009
IEEE
14 years 5 months ago
Laplace-Beltrami Nodal Counts: A New Signature for 3D Shape Analysis
In this paper we develop a new approach of analyzing 3D shapes based on the eigen-system of the Laplace-Beltrami operator. While the eigenvalues of the Laplace-Beltrami operator h...
Rongjie Lai, Yonggang Shi, Ivo D. Dinov, Tony F. C...