Construction of rational curves with rational rotation-minimizing frames via Möbius transformations

Michael Bartoň*, Bert Jüttler, Wenping Wang

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    15 Scopus citations

    Abstract

    We show that Möbius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on these observations we derive an algorithm for G 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames.

    Original languageEnglish (US)
    Title of host publicationMathematical Methods for Curves and Surfaces - 7th International Conference, MMCS 2008, Revised Selected Papers
    Pages15-25
    Number of pages11
    DOIs
    StatePublished - 2010
    Event7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008 - Tonsberg, Norway
    Duration: Jun 26 2008Jul 1 2008

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume5862 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008
    Country/TerritoryNorway
    CityTonsberg
    Period06/26/0807/1/08

    Keywords

    • Möbius transformations
    • Pythagorean-hodograph curve
    • Rational rotation-minimizing frame

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science

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