Constrained Texture Mapping And Foldover-free Condition

This source preferred by Jian Jun Zhang, Xiaosong Yang and Hongchuan Yu

Authors: Yu, H., Yang, X. and Zhang, J.J.

Pages: 136-143

Publisher: IEEE press

ISBN: 978-1-4244-8889-6

Texture mapping has been widely used in image processing and graphics to enhance the realism of CG scenes.

However to perfectly match the feature points of a 3D model with the corresponding pixels in texture images, the parameterisation which maps a 3D mesh to the texture space must satisfy the positional constraints. Despite numerous research efforts, the construction of a mathematically robust foldover-free parameterisation subject to internal constraints is still a remaining issue. In this paper, we address this challenge by developing a two-step parameterisation method.

First, we produce an initial parameterisation with a method traditionally used to solve structural engineering problems, called the bar-network. We then derive a mathematical foldover-free condition, which is incorporated into a Radial Basis Function based scheme. This method is therefore able to guarantee that the resulting parameterization meets the hard constraints without foldovers.

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