Isotropic remeshing of surfaces: A local parameterization approach

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Isotropic remeshing of surfaces: A local parameterization approach (2003)

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by Vitaly Surazhsky , Pierre Alliez , Craig Gotsman

Venue:	In Proceedings of 12th International Meshing Roundtable
Citations:	45 - 4 self

BibTeX

@INPROCEEDINGS{Surazhsky03isotropicremeshing,
    author = {Vitaly Surazhsky and Pierre Alliez and Craig Gotsman},
    title = {Isotropic remeshing of surfaces: A local parameterization approach},
    booktitle = {In Proceedings of 12th International Meshing Roundtable},
    year = {2003},
    pages = {215--224}
}

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Abstract

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.

Keyphrases

isotropic remeshing local parameterization approach original mesh second stage performs density function isotropic vertex patch-wise parameterization technique local modification iterative simplification area-based relaxation method arbitrary complex mesh original mesh geometry mesh adaptation process weighted centroidal voronoi tessellation required number initial vertex partition remeshing process arbitrary genus surface lloyd relaxation method third stage achieves first stage small patch

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