TY - JOUR
T1 - An RBF-based reparameterization method for constrained texture mapping
AU - Yu, Hongchuan
AU - Lee, Tong Yee
AU - Yeh, I. Cheng
AU - Yang, X.
AU - Li, Wenxi
AU - Zhang, Jian J.
N1 - Funding Information:
This work is supported in part by National Science Council (contracts NSC-100-2628-E-006-031-MY3, and NSC-100-2221-E-006-188-MY3), Taiwan.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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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U2 - 10.1109/TVCG.2011.117
DO - 10.1109/TVCG.2011.117
M3 - Article
C2 - 21690643
AN - SCOPUS:84862825748
SN - 1077-2626
VL - 18
SP - 1115
EP - 1124
JO - IEEE Transactions on Visualization and Computer Graphics
JF - IEEE Transactions on Visualization and Computer Graphics
IS - 7
M1 - 5928343
ER -