Robust Field-aligned Global Parametrization : Supplement 1 , Proofs and Algorithmic Details


Torus with a single 3-5 pair. The nonexistence of a quadrangulation with a single 3-5 pair for a torus has been proved in [Barnette et al. 1971]. Remarkably, [Jucovič and Trenkler 1973] shows that for any choice of non-regular vertex valences, constrained by the formula for Euler’s characteristics, and any genus other than 1, a quadrangulation with vertices… (More)

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