Complex surface modeling using perturbation functions

Freeforms synthesized by means of perturbation functions are considered. A special feature of the freeforms based on the scalar perturbation functions and the method of their visualization is that the time of geometrical processing and the amount of data required for modeling the surface do not depend on its geometry. The freeforms based on the analytical perturbation functions have an advantage of spline representation of surfaces, that is, a high degree of smoothness, and an advantage of arbitrary form for a small number of perturbation functions.