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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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A method for interpolating scattered data based upon a minimum norm network
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by Gregory M. Nielson PDF
Math. Comp. 40 (1983), 253-271 Request permission


A method for interpolating scattered data is described. Given $({x_i},{y_i},{z_i}),i = 1, \ldots , N$, a bivariate function S with continuous first order partial derivatives is defined which has the property that $S({x_i},{y_i}) = {z_i},i = 1, \ldots ,N$. The method is based upon a triangulation of the domain and a curve network which has certain minimum pseudonorm properties. Algorithms and examples are included.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 253-271
  • MSC: Primary 65D05; Secondary 41A05, 65D07
  • DOI:
  • MathSciNet review: 679444