An RBF-based reparameterization method for constrained texture mapping
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Updated: May 31, 2026

Topographical Estimation of Visual Population Receptive Fields by fMRI
Published on: February 3, 2015
Hongchuan Yu1, Tong-Yee Lee, I-Cheng Yeh
1National Centre for Computer Animation, Bournemouth University, Poole BH125BB, United Kingdom. hyu@bournemouth.ac.uk
Abstract:
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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