carrier image

Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation

Lei, Na, Xiaopeng Zheng, Hang Si, Zhongxuan Luo, Xianfeng Gu

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017


26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Na Lei, Dalian University of Technology, CN,
Xiaopeng Zheng, Dalian University of Technology, CN,
Hang Si, Weierstrass Institute for Applied Analysis and Stochastics, DE,
Zhongxuan Luo, Dalian University of Technology, CN,
Xianfeng Gu, Stony Brook University, US,

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.

Download Full Paper (PDF)

Contact author(s) or publisher for availability and copyright information on above referenced article