RBF Interpolation with CSRBF of Large Data Sets

摘要

This contribution presents a new analysis of properties of the interpolationusing Radial Bases Functions (RBF) related to large data sets interpolation.The RBF application is convenient method for scattered d-dimensionalinterpolation. The RBF methods lead to a solution of linear system of equationsand computational complexity of solution is nearly independent of adimensionality. However, the RBF methods are usually applied for small datasets with a small span geometric coordinates. This contribution exploresproperties of the RBF interpolation for large data sets and large span ofgeometric coordinates of the given data sets with regard to expectablenumerical stability of computation.