Computer Aided Geometric Design; Proceedings of a Conference Held at the University of Utah, Salt Lake City, Utah, March 18-21, 1974
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
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Shepard developed a method for the interpolation of arbitrarily spaced discrete data points of two variables. We extend this scheme to approximate, by a smooth function, discrete sets of multivariate data points. No regularity is assumed for the data distribution, and we allow the dependent variable to contain error. The method presented here can be applied to the statistical analysis of experimental data as well as to the compression of data in computer graphics and computer aided design.