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Generating higher-order Voronoi diagrams #104

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Cystom opened this issue Feb 12, 2020 · 1 comment
Closed

Generating higher-order Voronoi diagrams #104

Cystom opened this issue Feb 12, 2020 · 1 comment

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@Cystom
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Cystom commented Feb 12, 2020

Hi there,

I recently stumbled upon the interesting concept of a k-order Voronoi diagram (also called k-nearest neighbor Voronoi diagram in some papers, see [1] for details). I was wondering if anyone found a relatively simple way to extend the methods provided by this library to generate such a higher-order diagram.

Lee's sequential algorithm [1] that transforms the Voronoi diagram of order k into the diagram of order k+1 came to mind after some digging. Since this library leverages good performance and nice ways to incorporate interactivity, I was wondering if there are any relatively simple ways to generate this k-order Voronoi diagram using this library.

[1] Lee, D. T. (1982). On k-nearest neighbor Voronoi diagrams in the plane. IEEE transactions on computers, 100(6), 478-487.

@Cystom Cystom changed the title Generating a k-order Voronoi diagram Generating higher-order Voronoi diagrams Feb 12, 2020
@Fil
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Fil commented Jun 5, 2021

Interesting suggestion! But closing due to inactivity.

@Fil Fil closed this as completed Jun 5, 2021
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