Looking for existing algorithm

Hi all. Im looking for algoritm of building list of triangles from list of convex/convey polygons (self-intersecting, one polygon cuts hole in another e.t.c.). If someone familiar with Win32, its if you call Win32 function for CDC:olyPolygon - I need to produce same result except drawing triangles. Sounds like hard task but Im pretty sure its old problem and must have a solution. Thank you. Andrei