Determining the Separate Surfaces
First, we compute (an approximation to) the C1 discontinuitites in the surface and use this information to partition the surface. This is done using topological computations in the Chains algebraic-topological computer language.
Chains is a computer language developed by Rick Palmer as part of the SimLab Project. The basic data structures are geometric and topological objects such as vertices, cells, cell complexes, chains, and cochains.