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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.9 P.1589~1595

10.1631/jzus.2006.A1589


Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy


Author(s):  LI Ying, YANG Zhou-wang, DENG Jian-song

Affiliation(s):  Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Corresponding email(s):   yangzw@ustc.edu.cn

Key Words:  Genus-zero meshes, Spherical parametrization, Discrete harmonic energy, Constrained optimization


LI Ying, YANG Zhou-wang, DENG Jian-song. Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy[J]. Journal of Zhejiang University Science A, 2006, 7(9): 1589~1595.

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author="LI Ying, YANG Zhou-wang, DENG Jian-song",
journal="Journal of Zhejiang University Science A",
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number="9",
pages="1589~1595",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1589"
}

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%T Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy
%A LI Ying
%A YANG Zhou-wang
%A DENG Jian-song
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 9
%P 1589~1595
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1589

TY - JOUR
T1 - Spherical parametrization of genus-zero meshes by minimizing discrete harmonic energy
A1 - LI Ying
A1 - YANG Zhou-wang
A1 - DENG Jian-song
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 9
SP - 1589
EP - 1595
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1589


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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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