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Author: Gu, Xianfeng × Type: article × Subject: Konferenzschrift × Subject: foliation × WGL Institute: WIAS ×

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    Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation
    (Amsterdam [u.a.] : Elsevier, 2017) Lei, Na; Zheng, Xiaopeng; Si, Hang; Luo, Zhongxuan; Gu, Xianfeng
    This work introduces a novel algorithm for quad-mesh generation based on surface foliation theory. The algorithm is based on the equivalence among colorable quad-meshes, measure foliations and holomorphic differentials. The holomorphic differentials can be obtained by graph-valued harmonic maps. The algorithm has several merits: it can be applied for surfaces with general topologies; the resulting quad-meshes have global tensor product structure and the least number of singularities; the algorithmic pipeline is fully automatic. The experimental results demonstrate the efficiency and efficacy of the proposed method.