An effective mesh parameterization approach is proposed for the meshes which contain holes and ir
regular boundaries could not be parameterized well by the convex combination approaches. The whole holes would be filled by fitting variational implicit surfaces and a simple additional boundary is constructed for the mesh,and then the parameterization result will be obtained by a convex combination parameterization method. The experimental results in dicate that the new introduced vertices can be used as the supplementary data to fit surface smoothly. Furthermore, the proposed method has been used to the parameterized surface construction during the fast design of composite mold.