@MISC{Skala_fastinterpolation, author = {Vaclav Skala}, title = {Fast Interpolation and Approximation of Scattered Multidimensional and Dynamic Data Using Radial Basis Functions}, year = {} }
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Abstract
Abstract: Interpolation or approximation of scattered data is very often task in engineering problems. The Radial Basis Functions (RBF) interpolation is convenient for scattered (un-ordered) data sets in k-dimensional space, in general. This approach is convenient especially for a higher dimension k> 2 as the conversion to an ordered data set, e.g. using tessellation, is computationally very expensive. The RBF interpolation is not separable and it is based on distance of two points. It leads to a solution of a Linear System of Equations (LSE)