Conversion of Dupin cyclide patches into rational biquadratic Bézier form

Sebti Foufou, Lionel Garnier, Michael J. Pratt

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bézier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bézier form. A set of conversion examples illustrates the use of this algorithm.

    Original languageEnglish (US)
    Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Pages201-218
    Number of pages18
    DOIs
    StatePublished - Dec 1 2005
    Event11th IMA International Conference - Mathematics of Surfaces XI - Loughborough, United Kingdom
    Duration: Sep 5 2005Sep 7 2005

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume3604 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other11th IMA International Conference - Mathematics of Surfaces XI
    CountryUnited Kingdom
    CityLoughborough
    Period9/5/059/7/05

    Fingerprint

    Dupin cyclide
    Patch
    Centrobaric
    Bernstein Polynomials
    Robust Algorithm
    Polynomials
    Circle
    Symmetry
    Series
    Form

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Computer Science(all)

    Cite this

    Foufou, S., Garnier, L., & Pratt, M. J. (2005). Conversion of Dupin cyclide patches into rational biquadratic Bézier form. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 201-218). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3604 LNCS). https://doi.org/10.1007/11537908_12

    Conversion of Dupin cyclide patches into rational biquadratic Bézier form. / Foufou, Sebti; Garnier, Lionel; Pratt, Michael J.

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. p. 201-218 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3604 LNCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Foufou, S, Garnier, L & Pratt, MJ 2005, Conversion of Dupin cyclide patches into rational biquadratic Bézier form. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3604 LNCS, pp. 201-218, 11th IMA International Conference - Mathematics of Surfaces XI, Loughborough, United Kingdom, 9/5/05. https://doi.org/10.1007/11537908_12
    Foufou S, Garnier L, Pratt MJ. Conversion of Dupin cyclide patches into rational biquadratic Bézier form. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. p. 201-218. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/11537908_12
    Foufou, Sebti ; Garnier, Lionel ; Pratt, Michael J. / Conversion of Dupin cyclide patches into rational biquadratic Bézier form. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. pp. 201-218 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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