Akademska digitalna zbirka SLovenije - logo
FMF in IMFM, Matematična knjižnica, Ljubljana (MAKLJ)
  • Dual representation of spatial rational Pythagorean-hodograph curves
    Kozak, Jernej ; Krajnc, Marjetka, 1978- ; Vitrih, Vito, 1981-
    In this paper, the dual representation of spatial parametric curves and its properties are studied. In particular, rational curves have a polynomial dual representation, which turns out to be both ... theoretically and computationally appropriate to tackle the main goal of the paper: spatial rational Pythagorean-hodograph curves (PH curves). The dual representation of a rational PH curve is generated here by a quaternion polynomial which defines the Euler-Rodrigues frame of a curve. Conditions which imply low degree dual form representation are considered in detail. In particular, a linear quaternion polynomial leads to cubic or reparameterized cubic polynomial PH curves. A quadratic quaternion polynomial generates a wider class of rational PH curves, and perhaps the most useful is the ten-parameter family of cubic rational PH curves, determined here in the closed form.
    Vir: Computer Aided Geometric Design. - ISSN 0167-8396 (Vol. 31, no. 1, 2014, str. 43-56)
    Vrsta gradiva - članek, sestavni del
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 1536233156

    Povezava(-e):

    http://dx.doi.org/10.1016/j.cagd.2013.12.001
    DOI

vir: Computer Aided Geometric Design. - ISSN 0167-8396 (Vol. 31, no. 1, 2014, str. 43-56)

loading ...
loading ...
loading ...

Vnos na polico