Computing with Radial Basic Functions the Beatson-Light Way!

Abstract : In this paper we discuss a number of recent developments in the practice of how to compute with radial basic functions. The two main problems addressed are how to develop fast evaluation schemes for radial basic functions, and how to efficiently carry out the solution of the interpolation problem. The approach is to mainly describe work which has involved the author and Professor Rick Beatson as contributors, and to include an idiosyncratic selection of works by other researchers which have attracted the attention of the author.