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2D Voronoi Diagram with Periodic Boundary Conditions

Asked by Tyler on 12 Jul 2016
Latest activity Answered by Zoltán Csáti on 18 Oct 2018
Hi,
Does anyone know how to create a 2D voronoi diagram with periodic boundary conditions?
Thanks!

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1 Answer

Answer by Zoltán Csáti on 18 Oct 2018

If you want to create a periodic 2D Voronoi tessellation, the main steps are the following:
1. Create the seeds on the original domain.
2. Replicate the original domain 8 times to surround the original domain.
3. Create the Voronoi tessellation on the extended domain.
4. Cut out the original domain from the extended domain.
Reference: https://link.springer.com/article/10.1007%2Fs00466-008-0339-2

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