Mesh Parameterization for an Open Connected Surface without Partition

Authors:
Yu-Shen Liu;Pi-Qiang Yu;Ming-Cui Du;Jun-Hai Yong;Hui Zhang;Jean-Claude Paul
Affiliations:
Tsinghua University, Beijing, P. R. China;Beijing Jiaotong University, P. R. China;Tsinghua University, Beijing, P. R. China;Tsinghua University, Beijing, P. R. China;Tsinghua University, Beijing, P. R. China;Tsinghua University, Beijing, P. R. China
Venue:
CAD-CG '05 Proceedings of the Ninth International Conference on Computer Aided Design and Computer Graphics
Year:
2005

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Abstract

A novel mesh parametrization method for an open connected surface is presented. The parametrization method is based on Hessian-based Locally Linear Embedding (HLLE). Our method operates directly on the surface without using any partition technique and can preserve the local and global structure, while partition-based methods often produce high distortion and discontinuity nearby partition boundaries. In addition, some examples about texture mapping show the efficiency of our method.