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On geometric Lagrange interpolation by quadratic parametric patchesGašper Jaklič,
Jernej Kozak,
Marjetka Knez,
Vito Vitrih,
Emil Žagar, 2008, original scientific article
Abstract: 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.
Keywords: numerična analiza, interpolacija, aproksimacija, parametrična ploskev, numerical analysis, interpolation, approximation, parametric surface
Published in RUP: 03.04.2017; Views: 2255; Downloads: 138
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