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27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting
2021
Computer Aided Geometric Design
The theoretical basis of Floater's parameterization technique for triangulated surfaces is simultaneously a generalization (to non-barycentric weights) and a specialization (to a plane near-triangulation, which is an embedding of a planar graph with the property that all bounded faces are -possibly curved -triangles) of Tutte's Spring Embedding Theorem. Extensions of this technique cover surfaces with holes and periodic surfaces. The proofs presented previously need advanced concepts, such as
doi:10.1016/j.cagd.2021.101975
fatcat:kfeqzjrjizdb7evx6vy3cyfgmq