Awesome, thanks! I'll give this a try and let you know how it goes.
One question - does it deal with shapes that have holes in them? Unfortunately I think tye is right, that will happen. Perhaps it can explain some of the spurious edges? I'm skeptical of blaming them on the underlying Voronoi code - that's some very old, well tested code and it doesn't show any anomalies when you graph the results without joining. Happy to be proven wrong, of course, but I'd need proof based on the original data to believe it.
-sam
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