Plea for help from the coding gurus

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Ok, it's not that kind of tesselation :) Heck, it's hard explaining stuff like this when English isn't your native language. So here is a small sketch to show it:

So basically what I get from AC3D is the outline of a polygon and I need to tesselate/triangulate it into a regular triangle mesh. AC3D uses the GLUT tesselate function to do this internally, so a function similar to that is what I'm looking for. I haven't tested the PolyTry one yet, but I think that will do it.