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A surface remeshing approach
Author(s) -
Aubry R.,
Houzeaux G.,
Vázquez M.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3028
Subject(s) - robustness (evolution) , computer science , interpolation (computer graphics) , grid , algorithm , mathematical optimization , mesh generation , regular grid , t vertices , cartesian coordinate system , mathematics , finite element method , geometry , computer graphics (images) , engineering , structural engineering , animation , biochemistry , chemistry , gene
A method is presented to remesh three‐dimensional discrete data surfaces. The originality of the method resides in mimicking heavily the classical adva10ncing front method for quality while always relying on a valid mesh for robustness. Therefore, local operations are applied in a first step to obtain a mesh of appropriate length scale compared to the specified size, and an original procedure has been developed for refinement that automatically degenerates to a surface mesh optimization if the size map has been respected. A valid mesh is then always available during the remeshing procedure. A new background grid is proposed that relies on a Cartesian mesh for the size distribution. Interpolation is performed very quickly and the size distribution is smoothed out to provide a slowly varying mesh size distribution. Various numerical results are presented to illustrate the efficiency but mainly the quality and robustness of the method. Copyright © 2010 John Wiley & Sons, Ltd.