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An RBF-Based Reparameterization Method for Constrained Texture Mapping
July 2012 (vol. 18 no. 7)
pp. 1115-1124
Hongchuan Yu, Bournemouth University, Poole
Tong-Yee Lee, National Cheng-Kung University, Tainan
I-Cheng Yeh, National Cheng-Kung University, Tainan
Xiaosong Yang, Bournemouth University, Poole
Wenxi Li, Bournemouth University, Poole
Jian J. Zhang, Bournemouth University, Poole
Texture mapping has long been used in computer graphics to enhance the realism of virtual scenes. However, to match the 3D model feature points with the corresponding pixels in a texture image, surface parameterization must satisfy specific positional constraints. However, despite numerous research efforts, the construction of a mathematically robust, foldover-free parameterization that is subject to positional constraints continues to be a challenge. In the present paper, this foldover problem is addressed by developing radial basis function (RBF)-based reparameterization. Given initial 2D embedding of a 3D surface, the proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points. In addition, this approach is mesh free. Therefore, generating smooth texture mapping results is possible without extra smoothing optimization.

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Index Terms:
Foldover, constrained texture mapping, reparameterization.
Citation:
Hongchuan Yu, Tong-Yee Lee, I-Cheng Yeh, Xiaosong Yang, Wenxi Li, Jian J. Zhang, "An RBF-Based Reparameterization Method for Constrained Texture Mapping," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 7, pp. 1115-1124, July 2012, doi:10.1109/TVCG.2011.117
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