Uniform Random Voronoi Meshes

@inproceedings{Ebeida2011UniformRV,
  title={Uniform Random Voronoi Meshes},
  author={Mohamed S. Ebeida and Scott A. Mitchell},
  booktitle={IMR},
  year={2011}
}
We generate Voronoi meshes over three dimensional domains with prescribed boundaries. Voronoi cells are clipped at one-sided domain boundaries. The seeds of Voronoi cells are generated by maximal Poisson-disk sampling. In contrast to centroidal Voronoi tessellations, our seed locations are unbiased. The exception is some bias near concave features of the boundary to ensure well-shaped cells. The method is extensible to generating Voronoi cells that agree on both sides of two-sided internal… CONTINUE READING
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Maximal Poisson-disk sampling with finite precision and linear complexity in fixed dimensions

  • Mohamed S. Ebeida, Scott A. Mitchell, Anjul Patney, Andrew A. Davidson, John D. Owens
  • ACM Transactions on Graphics (Proceedings of ACM…
  • 2011
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