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QuadCover ‐ Surface Parameterization using Branched Coverings
Author(s) -
Kälberer Felix,
Nieser Matthias,
Polthier Konrad
Publication year - 2007
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2007.01060.x
Subject(s) - quadrilateral , smoothing , vector field , surface (topology) , polygon mesh , computation , field (mathematics) , mathematics , curvature , manifold (fluid mechanics) , algorithm , principal curvature , euclidean vector , geometry , computer science , topology (electrical circuits) , mathematical analysis , mean curvature , pure mathematics , computer vision , combinatorics , finite element method , mechanical engineering , physics , engineering , thermodynamics
We 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.