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UV for a polyfill quadrilateral grid


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I have a curve that needs to be polyfilled using a quadrilateral grid, but I don't know the dimensions of the resulting grid.

I'm using the uv on the resulting patch to copy some geometry on it, and I need to set the uv along the rows and columns. It is guaranteed to be a NxM grid, but I don't see a clean way to compute N and M from the geometrty.

In my tests, if the dimensions are fixed or can be predicted, I was able to Match Topology the patch with a known grid which has the UV set the way I want; then I copy the UV with Attribute Copy.

But in general, I can't find a way to do it. Any ideas ?

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