Method of Polynomial Factor for Free-Form Deformation of Parametric Curves and Surfaces

In order to obtain ideal modeling effects,a new technique for free-form deformation of space parametric curves and surfaces is presented.First,a polynomial scaling factor is introduced and a space deformation matrix is constructed.Then the deformation of a curve or surface is achieved through multiplying the equation of the curve or surface by the deformation matrix or scaling factor.Experiments show that the method is simple,intuitive and easy to control,and desired deformations can be easily achieved.