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Reports Year : 2002

Isotropic Surface Remeshing

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Pierre Alliez
Éric Colin de Verdière
  • Function : Author
Olivier Devillers
Martin Isenburg
  • Function : Author

Abstract

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 triangulatio- n 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.
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Dates and versions

inria-00071991 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071991 , version 1

Cite

Pierre Alliez, Éric Colin de Verdière, Olivier Devillers, Martin Isenburg. Isotropic Surface Remeshing. RR-4594, INRIA. 2002. ⟨inria-00071991⟩
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