Algorithms for rational Bézier curves

Gerald Farin

Research output: Contribution to journalArticle

113 Citations (Scopus)

Abstract

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
Volume15
Issue number2
DOIs
StatePublished - 1983
Externally publishedYes

Fingerprint

Cross ratio
Rational Curves
Recursive Algorithm
Evaluation

Keywords

  • Bézier curves
  • rational curves
  • recursion

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering
  • Geometry and Topology

Cite this

Algorithms for rational Bézier curves. / Farin, Gerald.

In: Computer-Aided Design, Vol. 15, No. 2, 1983, p. 73-77.

Research output: Contribution to journalArticle

Farin, Gerald. / Algorithms for rational Bézier curves. In: Computer-Aided Design. 1983 ; Vol. 15, No. 2. pp. 73-77.
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