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Finding a plane between splines

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Hello
I’m trying to do the following : I have a plane that I “criss-cross” with splines.  Imagine a wall with a bunch of hooks, and there are “ropes” connected to these hooks.
My “wall” is represented by a plane, and my ropes are represented by splines.  What I’m trying to do is texture the areas on the wall that are “inside” a set of splines.  I’ve attached an illustration as it is probably not clear…The red shape would be one of the “fills” between splines.

I’m not sure how to approach this, how can I select or create geometry between specific splines?  I tried using an extrude, but it’s method of producing geometry is too messy.

Thanks!

C4d file
https://www.dropbox.com/s/up8bbogpmtms6ma/SplineShapeSelect.c4d?dl=0

Illustration
https://www.dropbox.com/s/4i1y3vq6jlhkkxo/2020-06-22_17h42_39.png?dl=0


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