Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces

Robert E. Barnhill, Karsten Opitz*, Helmut Pottmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We present a new technique for interpolation of scattered data on arbitrary surfaces. The interpolant is obtained as the restriction of a trivariate function and is piecewise defined over triangular surface patches. The smoothness of the resulting function over the domain surface is visualized by application of interrogation tools for surfaces on surfaces.

Original languageEnglish (US)
Pages (from-to)365-378
Number of pages14
JournalComputer Aided Geometric Design
Issue number5
StatePublished - Nov 1992
Externally publishedYes


  • Scattered data interpolation
  • multivariate approximation
  • surfaces on surfaces
  • triangulations.

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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