HERMITE—BIRKHOFF INTERPOLATION OF SCATTERED DATA BY RADIAL BASIS FUNCTIONS

摘要

For Hermite-Birkhoff interpolation of scattered multidumensional data by radial basisfunction ,existence and characterization theorems and a variational principle are proved.Examples include (r)=r^b,Duchon’s thin-plate splines,Hardy’s multiquadrics,and inversemultiquadrics.