A modified Clough-Tocher interpolant

Gerald Farin

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


Clough-Tocher schemes are used to create surfaces that interpolate to positional and gradient values that may be arbitrarily located. A standard and a modified version of the Clough-Tocher interpolation scheme are described in terms of Bernstein-Bézier polynomials over triangles. Both methods are compared by a method that simulates reflection lines.

Original languageEnglish (US)
Pages (from-to)19-27
Number of pages9
JournalComputer Aided Geometric Design
Issue number1-3
StatePublished - Sep 1985


  • Bernstein-Bézier polynomials
  • Surfaces
  • reflection lines
  • triangular interpolants

ASJC Scopus subject areas

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


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