We present a recently developed method to interpolate functions with poles by quotients of two radial basis functions (RBF) expansions. This method combines rational function's ability to approximate function with poles with RBF interpolation's flexibility for scattered data interpolation in any space dimension. The method is tested on an approximation problem for antenna data
Abstract—Radial basis functions (RBF) provide powerful meshfree methods for multivariate interpolati...
AbstractAn efficient method for the multivariate interpolation of very large scattered data sets is ...
Abstract. If additional smoothness requirements and boundary conditions are met, the well–known appr...
AbstractFunctions with poles occur in many branches of applied mathematics which involve resonance p...
Functions with poles occur in many branches of applied mathematics which involve resonance phenomena...
For radial basis function interpolation of scattered data in IR d the approximative reproduction of ...
Interpolation or approximation of scattered data is very often task in engineering problems. The Rad...
Radial Basis Functions (RBF) interpolation is primarily used for interpolation of scattered data in ...
Interpolation based on radial basis functions (RBF) is a standard data map- ping method used in mul...
Radial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” i...
In this paper we propose two fast localized radial basis function fitting algorithms for solving lar...
Abstract. Radial basis function interpolation refers to a method of interpolation which writes the i...
We combine the theory of radial basis function interpolation with a partition of unity method to so...
. We study the computational complexity, the error behavior, and the numerical stability of interpol...
We discuss the problem of constrained approximation and interpolation of scattered data by using com...
Abstract—Radial basis functions (RBF) provide powerful meshfree methods for multivariate interpolati...
AbstractAn efficient method for the multivariate interpolation of very large scattered data sets is ...
Abstract. If additional smoothness requirements and boundary conditions are met, the well–known appr...
AbstractFunctions with poles occur in many branches of applied mathematics which involve resonance p...
Functions with poles occur in many branches of applied mathematics which involve resonance phenomena...
For radial basis function interpolation of scattered data in IR d the approximative reproduction of ...
Interpolation or approximation of scattered data is very often task in engineering problems. The Rad...
Radial Basis Functions (RBF) interpolation is primarily used for interpolation of scattered data in ...
Interpolation based on radial basis functions (RBF) is a standard data map- ping method used in mul...
Radial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” i...
In this paper we propose two fast localized radial basis function fitting algorithms for solving lar...
Abstract. Radial basis function interpolation refers to a method of interpolation which writes the i...
We combine the theory of radial basis function interpolation with a partition of unity method to so...
. We study the computational complexity, the error behavior, and the numerical stability of interpol...
We discuss the problem of constrained approximation and interpolation of scattered data by using com...
Abstract—Radial basis functions (RBF) provide powerful meshfree methods for multivariate interpolati...
AbstractAn efficient method for the multivariate interpolation of very large scattered data sets is ...
Abstract. If additional smoothness requirements and boundary conditions are met, the well–known appr...