Algorithms for rational Bézier curves

Gerald Farin

Research output: Contribution to journalArticlepeer-review

142 Scopus citations


A recursive algorithm for the evaluation of rational Bézier curves is presented; it consists of a construction that works with a constant cross ratio. This geometric principle is carried over to other algorithms.

Original languageEnglish (US)
Pages (from-to)73-77
Number of pages5
JournalComputer-Aided Design
Issue number2
StatePublished - Mar 1983


  • Bézier curves
  • rational curves
  • recursion

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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