“Improving Regularity of the Centoridal Voronoi Tessellation” by Men, Shen, Khan and Yan

  • ©Yifan Men, Zeyu Shen, Dawar Khan, and Dong-Ming Yan

  • ©Yifan Men, Zeyu Shen, Dawar Khan, and Dong-Ming Yan

  • ©Yifan Men, Zeyu Shen, Dawar Khan, and Dong-Ming Yan

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Entry Number: 66

Title:

    Improving Regularity of the Centoridal Voronoi Tessellation

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Abstract:


    We present a novel method for valence optimization of the Centroidal Voronoi Tessellation (CVT). We first identify three commonly appeared atomic configurations of local irregular Voronoi cells, and then design specific atomic operations for each configuration to improve the regularity within the CVT framework. 

References:


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    • L.Wang, Franck Hétroy-Wheeler, and E. Boyer. 2016. A Hierarchical Approach for Regular Centroidal Voronoi Tessellations. Comput. Graph. Forum 35, 1 (2016), 152–165. https://doi.org/10.1111/cgf.12716.

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Acknowledgements:


    This work is partially funded by the National Natural Science Foundation of China (61772523 and 61620106003).


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