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General Information
Editor-in-chief
Prof. Wael Badawy
Department of Computing and Information Systems Umm Al Qura University, Canada
I'm happy to take on the position of editor in chief of IJCTE. We encourage authors to submit papers concerning any branch of computer theory and engineering.
IJCTE 2013 Vol.5(3): 414-421 ISSN: 1793-8201
DOI: 10.7763/IJCTE.2013.V5.721

Constrained Texture Mapping and Foldover-Free Condition

Hongchuan Yu, Xiaosong Yang, and Jian J. Zhang
Abstract—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.

Index Terms—Foldover, constrained texture mapping, parameterization.

The authors are with the National Center for Computer Animation, Bournemouth University, Poole, UK. (email:cnyuhc@yahoo.com, xyang@bournemouth.ac.uk, jzhang@bournemouth.ac.uk).

[PDF]

Cite:Hongchuan Yu, Xiaosong Yang, and Jian J. Zhang, "Constrained Texture Mapping and Foldover-Free Condition," International Journal of Computer Theory and Engineering vol. 5, no. 3, pp. 414-421, 2013.

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