NEW GEOMETRIC INTERPOLATION METHOD BASED ON VORONOI DIAGRAM AND THE COMPARISON WITH TRADITIONAL ALGEBRAIC METHOD
基于Voronoi图的新型几何插值及其与传统代数插值方法的比较

The natural neighbour interpolation based on Voronoi diagram is the mathematical base of natural element method (NEM). It is a new geometric interpolation method and to be constructed by a special procedure different from traditional method,meanwhile it does have some advantages. The Sibson interpolation and non-Sibnian interpolation based on natural neighbour relation are introduced,then the comparison with FEM and EFG interpolation about discrete scheme,mesh property,calculation cost and so on is conducted.