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Lagrange polynomials of a complex variable for two-dimensional interpolation

✍ Scribed by R. H. T. Bates; M. O. Milner

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
458 KB
Volume
11
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We recognize that established techniques permit two‐dimensional interpolation to be accomplished efficiently as well as accurately when the grid of points, on which the data is available, is regular. Existing methods suitable for irregular grids are computationally protracted. We show that by using Lagrange polynomials of a complex variable we can interpolate, almost as conveniently as in one dimension, from an irregular grid onto particular points lying on parallel lines. Standard one‐dimensional interpolation schemes can then be used to complete the two‐dimensional interpolation. We discuss how, in any particular instance, the order of the Lagrange polynomials is chosen, and we present the results of a computational test of our method.

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