Multivariate data modelling by metric approximants

  • Authors:
  • M. Brannigan

  • Affiliations:
  • Department of Statistics and Computer Science, University of Georgia, Athens. GA30602, USA

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 1985

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Abstract

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.