Research on New Subdivision Scheme for Quadrilateral Meshes

In this paper,using the method of duplication average subdivision surfaces smoothing Subdivision,a new stationary subdivision scheme is presented for quadrilateral meshes.Once this algorithm subdivides a time of Quadrilateral Meshes,the number of the Quadrilateral Meshes increases for original two times.The simplicity in geometric operation and the slow topological refinement make the subdivision scheme more suitable for many applications,such as 3D image reconstruction and network transmission.The resulting surface is C2 continuous for regular vertices and C1continuous for extraordinary vertices.