at first I assumed this simple and I've thought through it a few times.
This is just something I'd like to experiment with.

I figured a plane with UV's would allow rasterizing post transformations in the pixel shader.
but that wouldn't really work, efficient rasterizing uses scan-lines. then a problem occured to me, in triangles its easy to know each scan-line can only have 1 start and 1 end. but bezier curve based shapes can very often be concave.
to avoid further confusion I tried doing some research, but when searching 2D rasterizing and the sorts. I only ever saw doing lines at a time, 3D rasterizing (triangles) or no capability of filling shapes.
I could maybe do a software rasterizer, but I've no idea how I could have it hardware accelerated :/

Any help on the subjects, papers, references, experience would be greatly appreciated,
Thanks in advanced,
Bombshell

thank you very much, that is exactly what I was looking for! also the "port transformation" was I was hoping to apply transformations to the vertices of a plane, then use UV coordinates to render the vector graphics, though this was a stupid idea, so I scraped that from the start.

Anyway thank you loads