The Computer Journal · 1974 · 443 citations · 9 references
ComputingComputer ScienceComputational GeometryComputer GraphicsDrawingContour DrawingContour GenerationCurve ModelingGeometric ApproximationGeometry ProcessingAnalytic ApproximationsContour ModelingLeast Squares Approximation
This paper describes a computer method for drawing, on an incremental plotter, a set of contours when the height is available only for some arbitrary collection of points. The method is based on a distance-weighted, least-squares approximation technique, with the weights varying with the distance of the data points. It is suitable not only for mathematically derived data, but also for data of geographical and other non-mathematical origins, for which numerical approximations are not usually appropriate. The paper includes a comparison with other approximation techniques.
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A two-dimensional interpolation function for irregularly-spaced data
Donald S. Shepard · 1968 · 5K citations
<i>Mathematical Methods for Digital Computers</i>
Anthony Ralston, Herbert S. Wilf, Peter L. Balise · Physics Today · 1961 · 951 citations
An Introduction to the Approximation of Functions
Joseph W. Jerome, T. J. Rivlin · Technometrics · 1970 · 737 citations
Carl de Boor · Journal of Mathematics and Physics · 1962 · 293 citations