How do I put faces on this so I can apply a image texture?

[Brontobyte]

So I am trying to find a way to put faces on this ngon – Solidify remesh ? make quads ? Use it to cookie cut a mesh ?
I need to be able to UV unwrap it and place a image texture on it and be able to bend it to a curve. So it needs to have a nice mesh but I am not sure how to go about it.
Thank you (1.5 MB)

[Brontobyte]

So i have some confusion about faces. I think each face needs to be within a quad. When I try to grid fill it makes a mess.
this kinda goes with this other Post:

Use of a object to cut on a mesh

[methodetocreatsillhuetttes] 3SlihuettObject.blend (2.0 MB) So I am trying to figure out a way to select the inverse of this weird shaped object and use it to delete out the parts of this mesh that I do not want so I can have a object that will be able to place a texture on. I am looking for a methode to use the a shape for knife cut maybe. The weird shaped object is really just an example.

Where I basically asked the same question but in a different way. It just seam like there would be a way to create this without manually retracing it.
see solution in link