Bernstein based arithmetic featuring de casteljau

Dominique Michelucci, Sebti Foufou, Loïc Lamarque, David Ménegaux

Research output: Contribution to conferencePaperpeer-review


Bernstein based interval analysis permits to trace alge- braic curves and surfaces. In this paper, we propose to use the classical de Casteljau algorithm to improve the efficiency of the Bernstein based method. The proposed tracing method gives significant results with functions of high degree. These results are illustrated and com- pared with other interval analysis approaches.

Original languageEnglish (US)
Number of pages4
StatePublished - 2005
Event17th Canadian Conference on Computational Geometry, CCCG 2005 - Windsor, Canada
Duration: Aug 10 2005Aug 12 2005


Conference17th Canadian Conference on Computational Geometry, CCCG 2005

ASJC Scopus subject areas

  • Geometry and Topology
  • Computational Mathematics


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