Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves

DOI10.1016/j.cagd.2020.101930zbMath1450.65006OpenAlexW3088122561WikidataQ114202303 ScholiaQ114202303MaRDI QIDQ2005172

Kai Hormann, Federico Nudo, Rida T. Farouki

Publication date: 7 October 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2020.101930

zbMATH Keywords

algebraic equationsquaternionsHermite interpolationPythagorean-hodograph curvescomplex numbers

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (5)

Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves ⋮ Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames ⋮ \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines

Cites Work

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