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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (9): 1589-1595    DOI: 10.1631/jzus.2006.A1589
Mesh Processing     
Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy
LI Ying, YANG Zhou-wang, DENG Jian-song
Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
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Abstract  The problem of spherical parametrization is that of mapping a genus-zero mesh onto a spherical surface. For a given mesh, different parametrizations can be obtained by different methods. And for a certain application, some parametrization results might behave better than others. In this paper, we will propose a method to parametrize a genus-zero mesh so that a surface fitting algorithm with PHT-splines can generate good result. Here the parametrization results are obtained by minimizing discrete harmonic energy subject to spherical constraints. Then some applications are given to illustrate the advantages of our results. Based on PHT-splines, parametric surfaces can be constructed efficiently and adaptively to fit genus-zero meshes after their spherical parametrization has been obtained.

Key words： Genus-zero meshes      Spherical parametrization      Discrete harmonic energy      Constrained optimization     
Received: 20 April 2006     
CLC:  O24  
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LI Ying
YANG Zhou-wang
DENG Jian-song
Cite this article:

LI Ying, YANG Zhou-wang, DENG Jian-song. Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(9): 1589-1595.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A1589     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I9/1589

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