Bernstein based arithmetic featuring de casteljau

Dominique Michelucci, Sebti Foufou, Loïc Lamarque, David Ménegaux

    Research output: Contribution to conferencePaper

    Abstract

    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)
    Pages215-218
    Number of pages4
    StatePublished - Jan 1 2005
    Event17th Canadian Conference on Computational Geometry, CCCG 2005 - Windsor, Canada
    Duration: Aug 10 2005Aug 12 2005

    Conference

    Conference17th Canadian Conference on Computational Geometry, CCCG 2005
    CountryCanada
    CityWindsor
    Period8/10/058/12/05

    Fingerprint

    Interval Analysis
    De Casteljau Algorithm
    Algebraic Surfaces
    Curves and Surfaces
    Algebraic curve
    Tracing
    Trace

    ASJC Scopus subject areas

    • Geometry and Topology
    • Computational Mathematics

    Cite this

    Michelucci, D., Foufou, S., Lamarque, L., & Ménegaux, D. (2005). Bernstein based arithmetic featuring de casteljau. 215-218. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.

    Bernstein based arithmetic featuring de casteljau. / Michelucci, Dominique; Foufou, Sebti; Lamarque, Loïc; Ménegaux, David.

    2005. 215-218 Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.

    Research output: Contribution to conferencePaper

    Michelucci, D, Foufou, S, Lamarque, L & Ménegaux, D 2005, 'Bernstein based arithmetic featuring de casteljau' Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada, 8/10/05 - 8/12/05, pp. 215-218.
    Michelucci D, Foufou S, Lamarque L, Ménegaux D. Bernstein based arithmetic featuring de casteljau. 2005. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.
    Michelucci, Dominique ; Foufou, Sebti ; Lamarque, Loïc ; Ménegaux, David. / Bernstein based arithmetic featuring de casteljau. Paper presented at 17th Canadian Conference on Computational Geometry, CCCG 2005, Windsor, Canada.4 p.
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