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  • Spline surfaces with ▫$C^1$▫ quintic PH isoparametric curves
    Knez, Marjetka, 1978- ; Pelosi, Francesca ; Sampoli, Maria Lucia
    Given two spatial ▫$C^1$▫ PH spline curves, aim of this paper is to study the construction of a tensor-product spline surface which has the two curves as assigned boundaries and which in addition ... incorporates a single family of isoparametric PH spline curves. Such a construction is carried over in two steps. In the first step a bi-patch is determined in a "Coons-like" way having as boundaries two quintic PH curves forming a single section of given spline curves, and two polynomial quartic curves. In the second step the bi-patches are put together to form a globally ▫$C^1$▫ continuous surface. In order to determine the final shape of the resulting surface, some free parameters are set by minimizing suitable shape functionals. The method can be extended to general boundary curves by preliminary approximating them with quintic PH splines.
    Vir: Computer Aided Geometric Design. - ISSN 0167-8396 (Vol. 79, May 2020, art. 101839 (19 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 21570563

    Povezava(-e):

    https://doi.org/10.1016/j.cagd.2020.101839
    DOI

vir: Computer Aided Geometric Design. - ISSN 0167-8396 (Vol. 79, May 2020, art. 101839 (19 str.))

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