For Hermite-Birkhoff interpolation of scattered multidimensional data by ra-dial basis functions φ, existence and characterization theorems and a varia-tional principle are proved. Examples include φ(r) = rb, Duchon’s thin-plate splines, Hardy’s multiquadrics, and inverse multiquadrics. Keywords
AbstractIn this paper we investigate those radial basis functions h associated with functions whose ...
plate splines. Introducing a suitable variational formulation for the local error of scattered data ...
In this dissertation, it is first shown that, when the radial basis function is a $p$-norm and $1 2...
AbstractWe study the scattered Hermite interpolation problem and find several classes of radial basi...
AbstractWe study the scattered Hermite interpolation problem and find several classes of radial basi...
Radial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” i...
. We show how conditionally negative definite functions on spheres can be used for Hermite interpola...
Abstract—We present the Hermite radial basis function (HRBF) implicits method to compute a global im...
Interpolation or approximation of scattered data is very often task in engineering problems. The Rad...
Abstract. Radial basis functions (RBFs) form a primary tool for multivariate interpolation, and they...
Introducing a suitable variational formulation for the local error of scattered data interpolation b...
AbstractA hierarchical scheme is presented for smoothly interpolating scattered data with radial bas...
AbstractMultivariate Birkhoff interpolation is the most complex polynomial interpolation problem and...
. We study the computational complexity, the error behavior, and the numerical stability of interpol...
AbstractInterpolation problems for analytic radial basis functions like the Gaussian and inverse mul...
AbstractIn this paper we investigate those radial basis functions h associated with functions whose ...
plate splines. Introducing a suitable variational formulation for the local error of scattered data ...
In this dissertation, it is first shown that, when the radial basis function is a $p$-norm and $1 2...
AbstractWe study the scattered Hermite interpolation problem and find several classes of radial basi...
AbstractWe study the scattered Hermite interpolation problem and find several classes of radial basi...
Radial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” i...
. We show how conditionally negative definite functions on spheres can be used for Hermite interpola...
Abstract—We present the Hermite radial basis function (HRBF) implicits method to compute a global im...
Interpolation or approximation of scattered data is very often task in engineering problems. The Rad...
Abstract. Radial basis functions (RBFs) form a primary tool for multivariate interpolation, and they...
Introducing a suitable variational formulation for the local error of scattered data interpolation b...
AbstractA hierarchical scheme is presented for smoothly interpolating scattered data with radial bas...
AbstractMultivariate Birkhoff interpolation is the most complex polynomial interpolation problem and...
. We study the computational complexity, the error behavior, and the numerical stability of interpol...
AbstractInterpolation problems for analytic radial basis functions like the Gaussian and inverse mul...
AbstractIn this paper we investigate those radial basis functions h associated with functions whose ...
plate splines. Introducing a suitable variational formulation for the local error of scattered data ...
In this dissertation, it is first shown that, when the radial basis function is a $p$-norm and $1 2...