Shape Analysis and Borderline Computing of a Free-Form Surface Based on Gauss Map
Determining convex or hyperbolic area of free-form surface and computing its borderlines is one of basic contents in analysis and control shape of free-form surface. At present, the research is limited in some special surface as developable surface, the research in free-form surface has no success in theory and method. Some geometric conclusions with respect to shape analysis of the complex free-form surface is put forward. Through computing Gauss parabolic lines, the convex area of a free-form surface was determined, and divided up, and its borderlines was computed.Convexness of a whole free-form surface was commanded. At last, two example's running results with the algorithm was provided.