Geodesic based conformal mesh parameterization

Qiang Zou; Jibin Zhao; Yanguo Zhao; Guangbao Liu; Haiyang Jin

doi:10.1117/12.2050202

10 January 2014 Geodesic based conformal mesh parameterization

Qiang Zou, Jibin Zhao, Yanguo Zhao, Guangbao Liu, Haiyang Jin

Proceedings Volume 9069, Fifth International Conference on Graphic and Image Processing (ICGIP 2013); 90691U (2014) https://doi.org/10.1117/12.2050202
Event: Fifth International Conference on Graphic and Image Processing, 2013, Hong Kong, China

Abstract

In this paper, a novel method of conformal parameterization for triangular meshes is presented. Firstly, based on geodesic on a mesh, an algorithm constructing local barycentric coordinates is proposed. Then, these local coordinates are merged via a linear system to form a global conformal parameterization of the mesh. The conformal mesh parameterization method here can be viewed as a development of the shape-preserving method proposed by M. S. Floater. It avoids error of locally approximating the so-called geodesic polar mapping and hence giving better results. Experimental results are given to illustrate the effectiveness of proposed methods.

Citation Download Citation

Qiang Zou, Jibin Zhao, Yanguo Zhao, Guangbao Liu, and Haiyang Jin "Geodesic based conformal mesh parameterization", Proc. SPIE 9069, Fifth International Conference on Graphic and Image Processing (ICGIP 2013), 90691U (10 January 2014); https://doi.org/10.1117/12.2050202

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