Lagrange interpolations using bivariate C2C2 quintic supersplines on double Clough–Tocher refinements

In this paper, a local Lagrange interpolation set for a bivariate quintic superspline space defined on the triangulation △¯DCT is constructed, where △¯DCT can be gained through refining certain triangles in an arbitrary regular triangulation △△ by double Clough–Tocher refinements.