Release Time:2019-03-12  Hits:

Indexed by: Conference Paper

Date of Publication: 2017-01-01

Included Journals: Scopus、CPCI-S、EI

Volume: 203

Page Number: 336-348

Key Words: quadrilateral; quad-mesh; structured; foliation; harmonic map; holomorphic differential

Abstract: 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. (C) 2017 The Authors. Published by Elsevier Ltd.