20.500.12556/RUP-7726 On geometric Lagrange interpolation by quadratic parametric patches In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly interpolated by a cubic patch. At least asymptotically, the existence of a quadratic geometric interpolant is confirmed for data taken on a parametric surface with locally nonzero Gaussian curvature and interpolation points based upon a three-pencil lattice. Also, the asymptotic approximation order 4 is established. numerična analiza interpolacija aproksimacija parametrična ploskev numerical analysis interpolation approximation parametric surface true true false Angleški jezik Neznan jezik Delo ni kategorizirano 2016-04-08 16:46:33 2017-04-03 08:13:00 2024-03-01 13:33:24 0000-00-00 00:00:00 2008 0 0 str. 373-384 iss. 6 Vol. 25 2008 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0167-8396 519.651 25266176 10.1016/j.cagd.2007.09.002 14637657 http://dx.doi.org/10.1016/j.cagd.2007.09.002 1 https://repozitorij.upr.si/Dokument.php?lang=slv&id=7726 Inštitut Andrej Marušič 0 0 0