English

Two improvements of the foliation based quad meshing method

Computational Geometry 2022-05-31 v1

Abstract

Quadrilateral meshes with high level structure and feature preserving property benefit industrial applications the most. Generation of such quad mesh remains a challenge. Quad meshes generated using surface foliation have the highest level structure, however they lack of the feature preserving ability. In this paper, we analyze the boundary curvature with Gauss-Bonnet theorem to determine whether a boundary rectangle corner preserving foliation based method exists. When it exists, we adopt a modified double cover technique together with surface foliation method to generate a corner feature preserving quad mesh. The experiments demonstrate the efficacy of our algorithm.

Keywords

Cite

@article{arxiv.2205.14968,
  title  = {Two improvements of the foliation based quad meshing method},
  author = {Xiaopeng Zheng and Hao Wang and Peng Zheng and Zhihui Qi and Zhijun Cheng and Ru Lin and Jiayou Zhao},
  journal= {arXiv preprint arXiv:2205.14968},
  year   = {2022}
}
R2 v1 2026-06-24T11:32:53.217Z