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General planar quadrilateral mesh design using conjugate direction field
Yang Liu, Weiwei Xu, Jun Wang, Lifeng Zhu, Baining Guo, Falai Chen, Guoping Wang
In ACM Transactions on Graphics, 30(6), December 2011.

Abstract: We present a novel method to approximate a freeform shape with a planar quadrilateral (PQ) mesh for modeling architectural glass structures. Our method is based on the study of conjugate direction fields (CDF) which allow the presence of $pm k/4(k in mathbb Z)$ singularities. Starting with a triangle discretization of a freeform shape, we first compute an as smooth as possible conjugate direction field satisfying the user's directional and angular constraints, then apply mixed-integer quadrangulation and planarization techniques to generate a PQ mesh which approximates the input shape faithfully. We demonstrate that our method is effective and robust on various 3D models.

Keyword(s): architectural geometry, conjugate direction field, planar quadrilateral mesh

Article URL: http://dx.doi.org/10.1145/2070781.2024174

BibTeX format:

@article{Liu:2011:GPQ,
  author = {Yang Liu and Weiwei Xu and Jun Wang and Lifeng Zhu and Baining Guo and Falai Chen and Guoping Wang},
  title = {General planar quadrilateral mesh design using conjugate direction field},
  journal = {ACM Transactions on Graphics},
  volume = {30},
  number = {6},
  pages = {140:1--140:10},
  month = dec,
  year = {2011},
}

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