De Casteljau-type subdivision is peculiar to Bézier curves

P. J. Barry, R. N. Goldman

Research output: Contribution to journalArticlepeer-review

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One nice property of Bézier curves is that not only can the de Casteljau algorithm be used for evaluation, it can also be used for subdivision. It is shown here that this property is not shared with other members of the wide class of curves which possess evaluation algorithms similar in kind to the de Casteljau algorithm.

Original languageEnglish (US)
Pages (from-to)114-116
Number of pages3
JournalComputer-Aided Design
Issue number3
StatePublished - Apr 1988

Bibliographical note

Funding Information:
The research reported here was partially funded by the Natural Sciences and Engineering Council of Canada, the University of Waterloo and Control Data Corporation.


  • Bézier curve
  • de Casteljau algorithm
  • geometry
  • recursive curve scheme
  • subdivision

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