How to map curves. Procedural textures?

Hello:

I want to map over a plane the curves that represent a polar stereographic projection of a sphere. If I use an image like the next one as an image texture, the result looks ugly. Is there a way to “draw” smoothly these curves using a kind of procedural texture or python script?

http://www.alesoft.net/fig3a.png

Thank you for any help.

Alex

why can’t you use a mesh, with a draw wire material, possibly with a z offset?