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» Computing discrete shape operators on general meshes
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CGF
2006
128views more  CGF 2006»
13 years 5 months ago
Computing discrete shape operators on general meshes
Discrete curvature and shape operators, which capture complete information about directional curvatures at a point, are essential in a variety of applications: simulation of defor...
Eitan Grinspun, Yotam I. Gingold, Jason Reisman, D...
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 2 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
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
DAGSTUHL
2010
13 years 6 months ago
Generalized Swap Operation for Tetrahedrizations
Mesh optimization of 2D and 3D triangulations is used in multiple applications extensively. For example, mesh optimization is crucial in the context of adaptively discretizing geo...
Burkhard Lehner, Bernd Hamann, Georg Umlauf
8
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IMR
1999
Springer
13 years 9 months ago
Mesh Association: Formulation and Algorithms
In computational simulation of coupled, multicomponent systems, it is frequently necessary to transfer data between meshes that may di er in resolution, structure, and discretizat...
Xiangmin Jiao, Herbert Edelsbrunner, Michael T. He...