Title
High-quality surface remeshing using harmonic maps : part 2 : surfaces with high genus and of large aspect ratioHigh-quality surface remeshing using harmonic maps : part 2 : surfaces with high genus and of large aspect ratio
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Biophysics and Biomedical 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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