Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves

DOI10.4208/nmtma.2014.1314nmzbMath1324.65011OpenAlexW4240876927WikidataQ114021158 ScholiaQ114021158MaRDI QIDQ5260343

Emil Žagar, Gašper Jaklič, Vito Vitrih, Jernej Kozak, Marjeta Krajnc

Publication date: 29 June 2015

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2014.1314nm

zbMATH Keywords

algorithmnumerical examplessplineHermite interpolationgeometric continuityhomotopy continuation methodPythagorean-hodograph curve

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths ⋮ Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ Geometric characteristics of planar quintic Pythagorean-hodograph curves ⋮ \(G^1\) interpolation of \(v\)-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines ⋮ Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints ⋮ \(\mathrm{G}^2\) Hermite interpolation with quartic regular linear normal curves ⋮ Partial fraction decomposition for rational Pythagorean hodograph curves ⋮ \(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length ⋮ \( G^2 \slash C^1\) Hermite interpolation by planar PH B-spline curves with shape parameter ⋮ Identification of two classes of planar septic Pythagorean hodograph curves

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