A new scheme for constructing a Catmull-Clark subdivision surface that interpolates the vertices of a quadrilateral mesh with arbitrary topology. Firstly,given a method of two-phase Catmull-Clark subdivision base on vertices,based on the method,the proposed interpolation subdivision method progressively modify the vertices of an original mesh to generate a new control mesh,making the mesh by two-phase Catmull-Clark subdivision whose limit surface interpolates all vertices in the original mesh. The modified ...