For more information see Introduction to the graduate work. Polyhedron is a repository for correcttion spatial polyhedra that arrises from 3D-modeling of diamonds. Current methods for creating of 3D-models cause great calculation errors. So we need to have algorithms to correct them.
1). Some auxuliary techniques:
1.1). Intersection of polyhedron with plane (done)
2). Local correction
2.1). Joining nearest facets which have almost the same plane (done).
2.2). Moving one point and then the correction of polyhedron, because after movement flatness of some facets is corrupted (done).
3). Global correction.
3.1). Minimization of summary error of approximation (we are approximating shadow contours which appear during photographing the diamond) -- in progess.