title: An RBF-based reparameterization method for constrained texture mapping.
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.
authors.affiliation: National Centre for Computer Animation, Bournemouth University, Poole BH125BB, United Kingdom. hyu@bournemouth.ac.uk
authors.forename: Hongchuan
authors.initials: H
authors.lastname: Yu
authors.forename: Tong-Yee
authors.initials: TY
authors.lastname: Lee
authors.forename: I-Cheng
authors.initials: IC
authors.lastname: Yeh
authors.forename: Xiaosong
authors.initials: X
authors.lastname: Yang
authors.forename: Wenxi
authors.initials: W
authors.lastname: Li
authors.forename: Jian J
authors.initials: JJ
authors.lastname: Zhang