An improvement to a C-2 quintic spline interpolation scheme on triangulations

摘要

Wang in [1] solved an open problem described by Farin in [2], lie constructed a C-2 quintic spline interpolation scheme on a refined triangulation. In this paper., we would like to improve Wang's study by enforcing some additional smoothness conditions across the interior edges of Wang's refinement of triangulation Delta. The results imply that our improvement interpolation scheme is more effective than other counterparts.