'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
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