An RBF-based reparameterization method for constrained texture mapping

This source preferred by Wenxi Li and Jian Jun Zhang

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Authors: Yu, H., Lee, T.Y., Yeh, I.C., Yang, X., Li, W. and Zhang, J.J.

Journal: IEEE Transactions on Visualization and Computer Graphics

Volume: 18

Issue: 7

Pages: 1115-1124

ISSN: 1077-2626

DOI: 10.1109/TVCG.2011.117

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. © 2012 IEEE.

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