Kaelberer, FelixNieser, MatthiasPolthier, Konrad2015-02-212015-02-2120071467-8659http://dx.doi.org/10.1111/j.1467-8659.2007.01060.xWe introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2-manifolds, whose parameter lines are guided by a given frame field, for example, by principal curvature frames. The parameter lines are globally continuous and allow a remeshing of the surface into quadrilaterals. The algorithm converts a given frame field into a single vector field on a branched covering of the 2-manifold and generates an integrable vector field by a Hodge decomposition on the covering space. Except for an optional smoothing and alignment of the initial frame field, the algorithm is fully automatic and generates high quality quadrilateral meshes.10.1111/j.1467-8659.2007.01060.x375-384