In order to realize the accurate deformation of the parametric surface

a special vector extension function was established to realize the interpolation deformation for parametric surface

in the course of the deformation.First

some deformation auxiliary data on the surface is chosen to construct the extension vector function

which is used to make the surface deform based on vector addition and ensures the deformed surface passing through the given position data.The deformation results show that the method can not only control the deformation region accurately but also make the deformation domain and the undiformation domain of the surface connect to C2 continuity.