Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere

Abstract

We propose a model for generating tessellation patterns on the sphere using the spherical Laguerre Voronoi diagram which satisfies the real-world assumptions. The generator pushing model is presented to generate the tessellation dynamically. The simulations were done for the different distribution of spherical circles on the sphere, and the results show the tendency of the distribution of resulting spherical circles.

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Acknowledgements

This research is supported by Chiang Mai University, Thailand.

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Correspondence to Supanut Chaidee.

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Chaidee, S., Sugihara, K. Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere. Graphs and Combinatorics 36, 371–385 (2020). https://doi.org/10.1007/s00373-019-02006-5

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Keywords

  • Spherical Laguerre Voronoi diagram
  • Spherical tessellation
  • Pattern formations