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Shape Modeling and Applications, International Conference on (2003)
Seoul , Korea
May 12, 2003 to May 15, 2003
ISBN: 0-7695-1909-1
pp: 49
Martin Isenburg , UNC at Chapel Hill
Olivier Devillers , INRIA Sophia-Antipolis
Pierre Alliez , INRIA Sophia-Antipolis
This paper proposes a new method for isotropic remeshing of triangulated surface meshes. Given a triangulated surface mesh to be resampled and a user-specified density function defined over it, we first distribute the desired number of samples by generalizing error diffusion, commonly used in image halftoning, to work directly on mesh triangles and feature edges. We then use the resulting sampling as an initial configuration for building a weighted centroidal Voronoi tessellation in a conformal parameter space, where the specified density function is used for weighting. We finally create the mesh by lifting the corresponding constrained Delaunay triangulation from parameter space. A precise control over the sampling is obtained through a flexible design of the density function, the latter being possibly low-pass filtered to obtain a smoother gradation. We demonstrate the versatility of our approach through various remeshing examples.
Surface sampling, error diffusion, centroidal Voronoi tessellation, constrained Delaunay triangulation, parameterization, optimal cutting, polygonal schema
Martin Isenburg, Olivier Devillers, Pierre Alliez, ?ric Colin de Verdi?re, "Isotropic Surface Remeshing", Shape Modeling and Applications, International Conference on, vol. 00, no. , pp. 49, 2003, doi:10.1109/SMI.2003.1199601
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