Point centered inside random curve

Hi everyone, I’m trying to create a point centered inside a group of different closed curves to add a tag for each one, like in the image. if possible it should be the red one, but any of the blues can also work
Hope someone can help.
Thank you so much


This might be harder than you might think. You can for instance divide the problem into three.
First you want to subdivide the polygonal shape into regions. Then you can get the area centroid for each region like in your sketch, and select the desired point with some rules.
The first part might be the most challenging one.

Maybe the midpoint of the medial axis could work

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Uh, that’s a nice idea too!

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