FMF in IMFM, Matematična knjižnica, Ljubljana (MAKLJ)
  • Interpolation scheme for planar cubic ▫$G^2$▫ spline curves
    Krajnc, Marjetka, 1978-
    In this paper a method for interpolating planar data points by cubic ▫$G^2$▫ splines is presented. A spline is composed of polynomial segments that interpolate two data points, tangent directions and ... curvatures at these points. Necessary and sufficient, purely geometric conditions for the existence of such a polynomial interpolant are derived. The obtained results are extended to the case when the derivative directions and curvatures are not prescribed as data, but are obtained by some local approximation or implied by shape requirements. As a result, the ▫$G^2$▫ spline is constructed entirely locally.
    Vir: Acta applicandae mathematicae. - ISSN 0167-8019 (Vol. 113, no. 2, 2011, str. 129-143)
    Vrsta gradiva - članek, sestavni del
    Leto - 2011
    Jezik - angleški
    COBISS.SI-ID - 16215385

    Povezava(-e):

    http://dx.doi.org/10.1007/s10440-010-9589-z

vir: Acta applicandae mathematicae. - ISSN 0167-8019 (Vol. 113, no. 2, 2011, str. 129-143)

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