| Computer-aided Geometric Design |
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| Adaptive triangular mesh coarsening with centroidal Voronoi tessellations |
| Zhen-yu SHU, Guo-zhao WANG, Chen-shi DONG |
| Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China; Laboratory of Information and Optimization Technologies, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China |
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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.
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Received: 28 March 2008
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