Isotropic Remeshing of Surfaces: a Local Parameterization Approach - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2003

Isotropic Remeshing of Surfaces: a Local Parameterization Approach


We present a method for isotropic remeshing of arbitrary genus surfaces. The method is based on a mesh adaptation process, namely, a sequence of local modifications performed on a copy of the original mesh, while referring to the original mesh geometry. The algorithm has three stages. In the first stage the required number or vertices are generated by iterative simplification or refinement. The second stage performs an initial vertex partition using an area-based relaxation method. The third stage achieves precise isotropic vertex sampling prescribed by a given density function on the mesh. We use a modification of Lloyd's relaxation method to construct a weighted centroidal Voronoi tessellation of the mesh. We apply these iterations locally on small patches of the mesh that are parameterized into the 2D plane. This allows us to handle arbitrary complex meshes with any genus and any number of boundaries. The efficiency and the accuracy of the remeshing process is achieved using a patch-wise parameterization technique.
Fichier principal
Vignette du fichier
RR-4967.pdf (5.22 Mo) Télécharger le fichier

Dates and versions

inria-00071612 , version 1 (23-05-2006)


  • HAL Id : inria-00071612 , version 1


Vitaly Surazhsky, Pierre Alliez, Craig Gotsman. Isotropic Remeshing of Surfaces: a Local Parameterization Approach. [Research Report] RR-4967, INRIA. 2003. ⟨inria-00071612⟩
681 View
28468 Download


Gmail Facebook Twitter LinkedIn More