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Received: 2008-03-28

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.4 P.535-545


Adaptive triangular mesh coarsening with centroidal Voronoi tessellations

Author(s):  Zhen-yu SHU, Guo-zhao WANG, Chen-shi DONG

Affiliation(s):  Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   littlerain_szy@sohu.com, wgz@math.zju.edu.cn

Key Words:  Triangular mesh, Mesh coarsening, Surface subdivision, Centroidal Voronoi tessellations (CVTs)

Zhen-yu SHU, Guo-zhao WANG, Chen-shi DONG. Adaptive triangular mesh coarsening with centroidal Voronoi tessellations[J]. Journal of Zhejiang University Science A, 2009, 10(4): 535-545.

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author="Zhen-yu SHU, Guo-zhao WANG, Chen-shi DONG",
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%T Adaptive triangular mesh coarsening with centroidal Voronoi tessellations
%A Zhen-yu SHU
%A Guo-zhao WANG
%A Chen-shi DONG
%J Journal of Zhejiang University SCIENCE A
%V 10
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%P 535-545
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820229

T1 - Adaptive triangular mesh coarsening with centroidal Voronoi tessellations
A1 - Zhen-yu SHU
A1 - Guo-zhao WANG
A1 - Chen-shi DONG
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 4
SP - 535
EP - 545
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820229

We present a novel algorithm for adaptive triangular mesh coarsening. The algorithm has two stages. First, the input triangular mesh is refined by iteratively applying the adaptive subdivision operator that performs a so-called red-green split. Second, the refined mesh is simplified by a clustering algorithm based on centroidal Voronoi tessellations (CVTs). The accuracy and good quality of the output triangular mesh are achieved by combining adaptive subdivision and the CVTs technique. Test results showed the mesh coarsening scheme to be robust and effective. Examples are shown that validate the method.

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


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