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Computing general geometric structures on surfaces using Ricci flow

Miao Jin Feng Luo Xianfeng David Gu

Numerical Analysis and Scientific Computing mathscidoc:1912.43789

Computer-Aided Design, 39, (8), 663-675, 2007.8
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic framework, <i>geometric structure</i>, to conquer this problem. In order to discover the intrinsic geometric structures of general surfaces, we developed a theoretic rigorous and practical efficient method, <i>Discrete Variational Ricci flow</i>.
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@inproceedings{miao2007computing,
  title={Computing general geometric structures on surfaces using Ricci flow},
  author={Miao Jin, Feng Luo, and Xianfeng David Gu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205825852107353},
  booktitle={Computer-Aided Design},
  volume={39},
  number={8},
  pages={663-675},
  year={2007},
}
Miao Jin, Feng Luo, and Xianfeng David Gu. Computing general geometric structures on surfaces using Ricci flow. 2007. Vol. 39. In Computer-Aided Design. pp.663-675. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205825852107353.
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