Abstract:

We present a method of algebraic curve and surface deformations based on extension factor. We first construct  the extension factors for algebraic curve and surface deformations, which then  act on the algebraic curves and surfaces to be deformed. Deformation on the algebraic curves and surfaces can be realized by changing the values of the extension factors. Examples show that the proposed method is convenient to operate, easy to control and achieves rich deformation effect, which is therefore a simple and effective method for algebraic curve and surface deformations.

Key words: algebraic curves and surfaces;deformation;extension factor