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Received: 2008-10-19

Revision Accepted: 2008-12-19

Crosschecked: 2009-06-10

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.7 P.1009-1017

http://doi.org/10.1631/jzus.A0820728


A spherical parameterization approach based on symmetry analysis of triangular meshes


Author(s):  Jian-ping HU, Xiu-ping LIU, Zhi-xun SU, Xi-quan SHI, Feng-shan LIU

Affiliation(s):  School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China; more

Corresponding email(s):   xpliu@comgi.com

Key Words:  Triangular mesh, Spherical parameterization, Symmetry analysis


Jian-ping HU, Xiu-ping LIU, Zhi-xun SU, Xi-quan SHI, Feng-shan LIU. A spherical parameterization approach based on symmetry analysis of triangular meshes[J]. Journal of Zhejiang University Science A, 2009, 10(7): 1009-1017.

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author="Jian-ping HU, Xiu-ping LIU, Zhi-xun SU, Xi-quan SHI, Feng-shan LIU",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820728"
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%A Jian-ping HU
%A Xiu-ping LIU
%A Zhi-xun SU
%A Xi-quan SHI
%A Feng-shan LIU
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%D 2009
%I Zhejiang University Press & Springer
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T1 - A spherical parameterization approach based on symmetry analysis of triangular meshes
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A1 - Xiu-ping LIU
A1 - Zhi-xun SU
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A1 - Feng-shan LIU
J0 - Journal of Zhejiang University Science A
VL - 10
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820728


Abstract: 
We present an efficient spherical parameterization approach aimed at simultaneously reducing area and angle distortions. We generate the final spherical mapping by independently establishing two hemisphere parameterizations. The essence of the approach is to reduce spherical parameterization to a planar problem using symmetry analysis of 3D meshes. Experiments and comparisons were undertaken with various non-trivial 3D models, which revealed that our approach is efficient and robust. In particular, our method produces almost isometric parameterizations for the objects close to the sphere.

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

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