CC BY-NC-ND 4.0 UnportedLei, NaZheng, XiaopengSi, HangLuo, ZhongxuanGu, Xianfeng2022-06-222022-06-222017https://oa.tib.eu/renate/handle/123456789/9120https://doi.org/10.34657/8158This 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.enghttps://creativecommons.org/licenses/by-nc-nd/4.0/670foliationharmonic mapholomorphic differentialquad-meshquadrilateralstructuredArticleKonferenzschrift