Feature aligned quad dominant remeshing using iterative local updates

Yu-Kun Lai Tsinghua University Leif Kobbelt RWTH Aachen Shi-Min Hu Tsinghua University

Geometric Modeling and Processing mathscidoc:1608.16050

Computer Aided Design, 42, (2), 109-117 , 2010
In this paper we present a new algorithm which turns an unstructured triangle mesh into a quad dominant mesh with edges well aligned to the principal directions of the underlying surface. Instead of computing a globally smooth parameterization or integrating curvature lines along a tangent vector field, we simply apply an iterative relaxation scheme which incrementally aligns the mesh edges to the principal directions. We further obtain the quad dominant mesh by dropping the not-aligned diagonal edges from the triangle mesh. A post-processing stage is introduced to further improve the results. The major advantage of our algorithm is its conceptual simplicity since it is merely based on elementary mesh operations such as edge collapse, flip, and split. Various results are presented in the paper; they show a good alignment to surface features and rather uniform distribution of mesh vertices. This makes them well suited, e.g., as CatmullClark Subdivision control meshes.
quad dominant remeshing, Feature alignment,
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@inproceedings{yu-kun2010feature,
  title={Feature aligned quad dominant remeshing using iterative local updates},
  author={Yu-Kun Lai, Leif Kobbelt, and Shi-Min Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823073637538276393},
  booktitle={Computer Aided Design},
  volume={42},
  number={2},
  pages={109-117 },
  year={2010},
}
Yu-Kun Lai, Leif Kobbelt, and Shi-Min Hu. Feature aligned quad dominant remeshing using iterative local updates. 2010. Vol. 42. In Computer Aided Design. pp.109-117 . http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823073637538276393.
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