Multivariate Smoothing and Interpolating Splines
Copyright policy )Multivariate Smoothing and Interpolating Splines
A theorem that characterizes spline functions that both smooth and interpolate is given. A bivariate generalization is presented which permits interpolation and smoothing of information which is not necessarily on a rectangular grid. A theorem which involves reproducing kernels for Hilbert spaces unifies this theory.
Spline approximation, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical interpolation, Numerical integration, Numerical smoothing, curve fitting, Multidimensional problems
Spline approximation, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical interpolation, Numerical integration, Numerical smoothing, curve fitting, Multidimensional problems
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