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  • Parametric curves with Pythagorean binormal
    Kozak, Jernej ; Knez, Marjetka, 1978- ; Vitrih, Vito, 1981-
    In this paper, a class of rational spatial curves that have a rational binormal is introduced . Such curves (called PB curves) play an important role in the derivation of rational rotation-minimizing ... osculating frames. The PB curve construction proposed is based upon the dual curve representation and the Euler-Rodrigues frame obtained from quaternion polynomials. The construction significantly simplifies if the curve is a polynomial one. Further, polynomial PB curves of the degree ▫$\ge 7$▫ and rational PB curves of the degree ▫$\ge 6$▫ that possess rational rotation-minimizing osculating frames are derived, and it is shown that no lower degree curves, constructed from quadratic quaternion polynomials, with such a property exist.
    Vir: Advances in computational mathematics. - ISSN 1019-7168 (Vol. 41, iss. 4, 2015, str. 813-832)
    Vrsta gradiva - članek, sestavni del
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 1537835204

    Povezava(-e):

    http://dx.doi.org/10.1007/s10444-014-9387-7
    Repozitorij Univerze na Primorskem - RUP
    DOI

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