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  • Construction of ▫$G^3$▫ rational motion of degree eight
    Ferjančič, Karla ; Knez, Marjetka, 1978- ; Vitrih, Vito, 1981-
    The paper presents a construction of a rigid body motion with point trajectories being rational spline curves of degree eight joining together with ▫$G^3$▫ smoothness. The motion is determined ... through interpolation of positions and derivative data up to order three in the geometric sense. Nonlinearity in the spherical part of construction results in a single univariate quartic equation which yields solutions in a closed form. Sufficient conditions on the regions for the curvature data are derived, implying the existence of a real admissible solution. The algorithm how to choose appropriate data is proposed too. The theoretical results are substantiated with numerical examples.
    Vir: Applied mathematics and computation. - ISSN 0096-3003 (Vol. 272, part 1, 2016, str. 127-138)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 1537829572

    Povezava(-e):

    http://dx.doi.org/10.1016/j.amc.2015.08.073
    Repozitorij Univerze na Primorskem - RUP
    DOI

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