Lagrange interpolations using bivariate C~2 quintic supersplines on double Clough-Tocher refinements

摘要

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