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CLC number: TP31; O29

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2009-02-09

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

http://doi.org/10.1631/jzus.A0820229


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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%T Adaptive triangular mesh coarsening with centroidal Voronoi tessellations
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%A Guo-zhao WANG
%A Chen-shi DONG
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%DOI 10.1631/jzus.A0820229

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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
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EP - 545
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820229


Abstract: 
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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