Discrete Coons patches

Gerald Farin, Dianne Hansford

Research output: Contribution to journalArticlepeer-review

138 Scopus citations


We investigate surfaces which interpolate given boundary curves. We show that the discrete bilinearly blended Coons patch can be defined as the solution of a linear system. With the goal of producing better shape than the Coons patch, this idea is generalized, resulting in a new method based on a blend of variational principles. We show that no single blend of variational principles can produce 'good' shape for all boundary curve geometries. We also discuss triangular Coons patches and point out the connections to the rectangular case.

Original languageEnglish (US)
Pages (from-to)691-700
Number of pages10
JournalComputer Aided Geometric Design
Issue number7
StatePublished - Aug 1999

ASJC Scopus subject areas

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


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