How would you rectangulate a polygon?

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Given a closed curve (or polygon), how would you break it up into rectangles? I don't need to fill the entire space, I just want the rectangles to each touch the edge of the original polygon. (see first image)

Further, it would be great if this could work with some more difficult shapes and create some more interesting quads other than just rectangles. (see second image)

Does anyone have some ideas on how to approach this?

Thanks!

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I'd give a go with the Voronoi fracturing.
You can cluster pieces following specific rules so you can basically achieve most quad-based flat shapes with it!

Another method I would try is trying to use cops, create your plane curve, create UVs and then recreate the pattern you're looking for in COPs going crazy with layers of geometric noises and splat it on top of your curve, and use that to create your shapes.

My 2 cents
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