Aahh right you are. I guess I meant a Polygon is a tangible representation of a 3D form on a screen. Similar to how a pixel is an accurate representation of a pixel screen. A NURBS curve, and a 2D vector are not really properly represented on a screen, and need to be converted to Polygons/Pixels to be represented.
I used to be a NURBS modeller back when it was Alias PowerAnimator on an SGI Octane2 back in the 90's. But the truth is, it's basically the same as drawing with Vectors in illustrator. I see the value when you're doing surgically precise objects that vectors might be good at (fonts?), but 99.99999% of the time, I find…
I believe the exact advantage of NURBS over polygons, was actually that it was projected, and therefore had infinite levels of resolution. Just like Vector graphics has over Pixels. You can scale up an Illustrator document a few hundreds times and it never loses its resolution. Just like NURBS you could zoom in as close as…