Lagrange Interpolations by Bivariate C-1 Cubic Splines on Powell-Sabin's Triangulations
hi this paper, by treating Powell-Sabin's type-1 refined triangulation Delta(PS1) as a triangulated quadrangulation phis a few triangles near the boundary wid treating Powell-Sabin's type-2 refined traiangulation Delta(PS2) as a triangulated quadrangulation, Lagrange interpolation schemes for both bivariate C-1 cubic spline spaces S-3(1)(Delta(PS1)) and S-3(1)(Delta(PS2)) are respectively constructed and Lagrange interpolation sets are given.
bivariate c-1 cubic splines lagrange interpolation schemes lagrange interpolation set powell-sabin's refined triangulations