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» Computing discrete shape operators on general meshes
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PROCEDIA
2010
89views more  PROCEDIA 2010»
14 years 4 months ago
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes
We construct a new mimetic tensor artificial viscosity on general polyhedral meshes. The tensor viscosity is designed as a discretization of the differential operator div (u) with...
Konstantin Lipnikov, Mikhail J. Shashkov
CAGD
2011
14 years 1 months ago
Generalized shape operators on polyhedral surfaces
This work concerns the approximation of the shape operator of smooth surfaces in R3 from polyhedral surfaces. We introduce two generalized shape operators that are vector-valued l...
Klaus Hildebrandt, Konrad Polthier
CVPR
2012
IEEE
12 years 12 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...
COMPGEOM
2000
ACM
15 years 1 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
CAGD
2006
72views more  CAGD 2006»
14 years 9 months ago
Discrete one-forms on meshes and applications to 3D mesh parameterization
We describe how some simple properties of discrete one-forms directly relate to some old and new results concerning the parameterization of 3D mesh data. Our first result is an ea...
Steven J. Gortler, Craig Gotsman, Dylan Thurston