High-quality surface remeshing using harmonic maps-Part II: Surfaces with high genus and of large aspect ratio
(2011) International Journal for Numerical Methods in Engineering —
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- This paper follows a previous one that was dealing with high-quality surface remeshing using harmonic maps (Int. J. Numer. Meth. Engng 2010; 83:403–425). In (Int. J. Numer. Meth. Engng 2010; 83:403–425), 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; 83:403–425) 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 (Int. J. Numer. Meth. Engng 2009; 79(11): 1309–1331).
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Marchandise, E., Carton de Wiart, C., Vos, W. G., Geuzaine, C., & Remacle, J.-F. (2011). High-quality surface remeshing using harmonic maps-Part II: Surfaces with high genus and of large aspect ratio. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.3099