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Journal of Zhejiang University SCIENCE C 2010 Vol.11 No.3 P.187-198

http://doi.org/10.1631/jzus.C0910460


Measured boundary parameterization based on Poisson’s equation


Author(s):  Jun-jie CAO, Zhi-xun SU, Xiu-ping LIU, Hai-chuan BI

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

Corresponding email(s):   zxsu@hotmail.com

Key Words:  Mesh parameterization, Poisson&rsquo, s equation, Measured boundary


Jun-jie CAO, Zhi-xun SU, Xiu-ping LIU, Hai-chuan BI. Measured boundary parameterization based on Poisson’s equation[J]. Journal of Zhejiang University Science C, 2010, 11(3): 187-198.

@article{title="Measured boundary parameterization based on Poisson’s equation",
author="Jun-jie CAO, Zhi-xun SU, Xiu-ping LIU, Hai-chuan BI",
journal="Journal of Zhejiang University Science C",
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pages="187-198",
year="2010",
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%A Xiu-ping LIU
%A Hai-chuan BI
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%P 187-198
%@ 1869-1951
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C0910460

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T1 - Measured boundary parameterization based on Poisson’s equation
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A1 - Zhi-xun SU
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J0 - Journal of Zhejiang University Science C
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Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C0910460


Abstract: 
One major goal of mesh parameterization is to minimize the conformal distortion. measured boundary parameterizations focus on lowering the distortion by setting the boundary free with the help of distance from a center vertex to all the boundary vertices. Hence these parameterizations strongly depend on the determination of the center vertex. In this paper, we introduce two methods to determine the center vertex automatically. Both of them can be used as necessary supplements to the existing measured boundary methods to minimize the common artifacts as a result of the obscure choice of the center vertex. In addition, we propose a simple and fast measured boundary parameterization method based on the poisson&rsquo;s equation. Our new approach generates less conformal distortion than the fixed boundary methods. It also generates more regular domain boundaries than other measured boundary methods. Moreover, it offers a good tradeoff between computation costs and conformal distortion compared with the fast and robust angle based flattening (ABF++).

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

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Open peer comments: Debate/Discuss/Question/Opinion

<1>

maomao

2010-01-29 10:39:17

This paper is interesting and worth reading very much!Highly recommend!

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