Stripification of free-form surfaces with global error bounds for developable approximation

Yong-Jin Liu Tsinghua University Yu-Kun Lai Tsinghua University Shimin Hu Tsinghua University

Geometric Modeling and Processing mathscidoc:1608.16007

IEEE Transactions on Automation Science and Engineering, 6, (4), 700, 2009.10
Developable surfaces have many desired properties in the manufacturing process. Since most existing CAD systems utilize tensor-product parametric surfaces including B-splines as design primitives, there is a great demand in industry to convert a general free-form parametric surface within a prescribed global error bound into developable patches. In this paper, we propose a practical and efficient solution to approximate a rectangular parametric surface with a small set of 􀀀-joint developable strips. The key contribution of the proposed algorithm is that, several optimization problems are elegantly solved in a sequence that offers a controllable global error bound on the developable surface approximation. Experimental results are presented to demonstrate the effectiveness and stability of the proposed algorithm.
Developable surface approximation, free-form parametric surfaces, geometric optimization, triangle strip
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@inproceedings{yong-jin2009stripification,
  title={Stripification of free-form surfaces with global error bounds for developable approximation},
  author={Yong-Jin Liu, Yu-Kun Lai, and Shimin Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160819160216888424272},
  booktitle={IEEE Transactions on Automation Science and Engineering},
  volume={6},
  number={4},
  pages={700},
  year={2009},
}
Yong-Jin Liu, Yu-Kun Lai, and Shimin Hu. Stripification of free-form surfaces with global error bounds for developable approximation. 2009. Vol. 6. In IEEE Transactions on Automation Science and Engineering. pp.700. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160819160216888424272.
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