Earth mesh rendering

I am trying to make a earth(spherical) mesh out of lat/long coordinates.

I have got a list of lat/long coordinates which together make landpolygons. I then convert these lat/long coordinates to Cartesian XYZ vectors. Then i build my mesh with these points, and use the Triangulator script from the wiki.

The results are in the screenshots below.

http://img171.imageshack.us/i/eartha.png/

http://img826.imageshack.us/i/earth3.png/

http://img39.imageshack.us/i/earth2r.png/

The results are as expected. I need a way to somehow fill the 'middle' of the poly. As i only have vertices at the edges of the poly, there will be triangles which slice through the surface of the earth. So i will either need to add vertices or find some other way to achieve this.

Am i taking the right approach? Any help is appreciated.