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Classical voronoi diagram looks like biology cells. I want to make it more random. Like:

enter image description here or the one on right (with some roundish borders):

enter image description here

Is it possible and how?

P.S. alternative algorithm suggestions are also welcome.

Janis Taranda
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  • Voronoi diagrams are a deterministic operation on a set of points and a metric, and you want randomness. The two are incompatible. – Parcly Taxel Aug 19 '21 at 08:20
  • @MorganRodgers yes, sphere regions with random borders (mimic tectonic plates). Not to detailed, so the calculations are fast. – Janis Taranda Aug 19 '21 at 08:43
  • @ParclyTaxel the points can be placed/moved randomly what is called Jitter and it looks more like what I need, but I want to push it more and get more chaotic forms. Here are some suggestion https://stackoverflow.com/a/3839131/2703854, but I do not get it. – Janis Taranda Aug 19 '21 at 08:47
  • Voronoi diagrams inevitably have "straight" edges (think of perpendicular bisectors of two points) – Henry Aug 19 '21 at 08:50
  • @Henry maybe you know alternatives to voronoi? Or some mutation of it? As you see in 2nd image it possible to alter the voronoi. – Janis Taranda Aug 19 '21 at 08:52
  • What if you use a classical voronoi partition (with perhaps smaller partitions, sampling more generator points $p_1,p_2,\dots$ in the space), but in a later step you group some partitions together to form new cells with those non-regular shapes? For each partition you can decide which neighbors to merge in a random fashion. – FeedbackLooper Aug 20 '21 at 11:32

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