Wrapping a Pattern over an object I am trying to build some arches in blender, and I want to find a way to apply a pattern to an object in a similar way as using a texture, however instead of having a texture applied to the model I want the model to be the pattern. I am afraid I am missing the knowledge to name precisely what I want.


A view of the 3D models and the UV mapping of one of the arches

A few things that hopefully clear things up:


The darker shapes to the left are the models that I have. They already have the pattern I want applied to them as a texture. This can be seen on the right where the UV map of the selected middle shape can be seen.
At the moment however this is only a texture wrapped around a flat model. I want the pattern to not be just a texture but to be a true part of the model itself, so that I can extrude the pattern and the model is no longer flat but has a thickness.
I tried to find a way to wrap a flat and square object along the models but I can not figure out how to do it. The object I want to use is the white pattern next to the darker models. This is not a textured plane but the same pattern layed out in vertices and not an image.


So:


Either I am looking for a way to use the Alpha layer of my (darker pattern) texture to somehow be removed from the models, so that only the pattern remains. 
Or to wrap the (lighter pattern) shape along the models not unlike a UV map so that the result is the pattern in the shape of the models.


I hope someone with more skills in Blender can help me out!
Just for fun, you can achieve this using displacement.
It works on any BW image texture, but requires a heavily subdivided mesh.
01) Displacement Node

Subdivide your mesh enough
Connect texture through Displacement Node
Enable true displacement in material settings



02) Displacement modifier

Use your image to create a texture
You can apply the modifier to turn the displacement into real geometry