QuadCover - Surface Parameterization using Branched Coverings

We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2manifolds, 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. Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Hierarchy and geometric transformations, Geometric algorithms, languages, and systems

• Type: Journal
• Year: 2007
• Where: CGF
• Authors: Felix Kälberer, Matthias Nieser, Konrad Polthier
• Keywords: Algorithms, Arbitrary Simplicial 2manifolds, CGF 2007, Parameter Lines