An RBF-Based Reparameterization Method for Constrained Texture Mapping

• Published in: IEEE transactions on visualization and computer graphics Vol. 18; no. 7; pp. 1115 - 1124
• Main Authors: Hongchuan Yu, Tong-Yee Lee, I-Cheng Yeh, Xiaosong Yang, Wenxi Li, Zhang, J. J.
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.07.2012; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation methods; Computational modeling; Computer graphics; constrained texture mapping; Equations; Finite element method; Foldover; Mesh generation; Parametrization; reparameterization; Smoothing methods; Solid modeling; Surface layer; Texture; Texture mapping; Three dimensional displays; Two dimensional
• ISSN: 1077-2626; 1941-0506; 1941-0506
• 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.