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Isotropic surface remeshing

Authors :
Martin Isenburg
Pierre Alliez
Olivier Devillers
E.C. de Verdire
Geometry, Algorithms and Robotics (PRISME)
Inria Sophia Antipolis - Méditerranée (CRISAM)
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
INRIA
Geometric computing (GEOMETRICA)
Laboratoire d'informatique de l'école normale supérieure (LIENS)
Département d'informatique - ENS Paris (DI-ENS)
École normale supérieure - Paris (ENS Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)
Department of Computer Science [Chapel Hill]
University of North Carolina [Chapel Hill] (UNC)
University of North Carolina System (UNC)-University of North Carolina System (UNC)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
École normale supérieure - Paris (ENS-PSL)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL)
Source :
Shape Modeling International, RR-4594, INRIA. 2002, International Conference on Shape Modeling and applications, International Conference on Shape Modeling and applications, May 2003, Seoul, South Korea
Publication Year :
2003
Publisher :
IEEE Comput. Soc, 2003.

Abstract

International audience; This paper proposes a new method for isotropic remeshing of tri- angulated 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 sam- pling 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 trian- gulation 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 grada- tion. We demonstrate the versatility of our approach through vari- ous remeshing examples.

Details

Database :
OpenAIRE
Journal :
2003 Shape Modeling International.
Accession number :
edsair.doi.dedup.....a56d155f52b452f07c9a1559f6c1af7d
Full Text :
https://doi.org/10.1109/smi.2003.1199601