Scattered data interpolation based upon generalized minimum norm networks

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A generalization of G. M. Nielson's method for bivariate scattered data interpolation based upon a minimum norm network is presented. The essential part of the new method is the use of a variational principle for definition of function values as well as cross-boundary derivatives over the edges of a triangulation of the data points. We mainly discuss the case of C2 interpolants and present some examples including quality control with systems of isophotes.

Original languageEnglish (US)
Pages (from-to)247-256
Number of pages10
JournalConstructive Approximation
Issue number1
StatePublished - Dec 1991
Externally publishedYes


  • AMS classification: Primary 65D05, Secondary 41A15
  • Minimum norm
  • Multivariate approximation
  • Scattered data interpolation
  • Surface fitting

ASJC Scopus subject areas

  • Analysis
  • General Mathematics
  • Computational Mathematics


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