We apply network flow techniques to a problem arising
in the computer aided design of cars, planes, ships,
trains, and the like: Refine a mesh of spheric
polygones, which approximates the surface of a
workpiece, so that the resulting mesh is suitable for a
numerical analysis. In commercial CAD systems, this
problem is usually solved in a greedy-like fashion,
which leaves the user a lot of patchwork to do
afterwards. The global approach introduced here avoids
those local traps and yields solutions that require
significantly less additional patchwork.