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This paper follows a previous one that was dealing with high quality surface remeshing using harmonic maps . In  , 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 papers addresses those two issues. We first develop a multiscale version of the harmonic parametrization of  and thendoi:10.1002/nme.3099 fatcat:rvrtuzo63ncvxddq6ouhwy6owq