As you can see in the image above, I want to trim off the lines and combine all the bezier curves into a mesh so that I can construct the rest of the building and give it a futuristic look. I chose “futuristic” for a lack of a better “down-to-earth” word, if you know what I mean.
So my question is, how am I going to approach what I’m trying to do?
You’ll want to use the knife project tool. Make a plane, make a curve, select the curve, shift select the plane, edit mode, knife project (toolbar).
Knife project depends on view, but remember you can use a shrinkwrap modifier on curves, at which point it pretty much won’t care about view. Will require some mesh cleanup afterwards. Use low-res curves to save yourself some headaches.
Alternatively, if you need to preserve your objects as curves, you can do the intersections with free handles, snapping them to grid or cursor or whatever.