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Uniform texture synthesis and texture mapping using global parameterization

Lujin Wang Xianfeng Gu Klaus Mueller Shing-Tung Yau

Computational Geometry mathscidoc:1912.43560

The Visual Computer, 21, 801-810, 2005.9
Texture mapping and texture synthesis are two popular methods for the decoration of surfaces with visual detail. Here, an existing challenge is to preserve, or at least balance, two competing metrics: scale and angle. In this paper we present two methods for this, both based on global conformal parameterization. First, we describe a texture synthesis algorithm for surfaces with arbitrary topology. By using the conformal parameterization, the 3D surface texture synthesis problem can be converted to a 2D image synthesis problem, which is more intuitive, easier, and conceptually simpler. While the conformality of the parameterization naturally preserves the angles of the texture, in this paper we provide a multi-scale technique to also maintain a more uniform area scaling factor. A second novel contribution is to employ the global parameterization to simultaneously preserve orthogonality and size in texture
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@inproceedings{lujin2005uniform,
  title={Uniform texture synthesis and texture mapping using global parameterization},
  author={Lujin Wang, Xianfeng Gu, Klaus Mueller, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204043270179124},
  booktitle={The Visual Computer},
  volume={21},
  pages={801-810},
  year={2005},
}
Lujin Wang, Xianfeng Gu, Klaus Mueller, and Shing-Tung Yau. Uniform texture synthesis and texture mapping using global parameterization. 2005. Vol. 21. In The Visual Computer. pp.801-810. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204043270179124.
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