Title
High-quality surface remeshing using harmonic maps : part 2 : surfaces with high genus and of large aspect ratio
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Subject
Mathematics
Physics
Engineering sciences. Technology
Source (journal)
International journal for numerical methods in engineering
Volume/pages
86(2011) :11 , p. 1303-1321
ISSN
0029-5981
ISI
000290444100002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
This paper follows a previous one that was dealing with high-quality surface remeshing using harmonic maps (Int. J. Numer. Meth. Engng 2010; 83:403425). In (Int. J. Numer. Meth. Engng 2010; 83:403425), it has been demonstrated that harmonic parametrizations can be used as input for surface meshers to produce high-quality triangulations. However, two important limitations were pointed out, namely surfaces with high genus and/or of large aspect ratio. This paper addresses those two issues. We first develop a multiscale version of the harmonic parametrization of (Int. J. Numer. Meth. Engng 2010; 83:403425) and then combine it with a multilevel partitioning algorithm to come up with an automatic remeshing algorithm that overcomes the above-mentioned limitations of harmonic maps. The overall procedure is implemented in the open-source mesh generator Gmsh.
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