Interpolation with spatial rational Pythagorean-hodograph curves of class 4

DOI10.1016/j.cagd.2017.07.001zbMath1377.65023OpenAlexW2736994018WikidataQ114202341 ScholiaQ114202341MaRDI QIDQ1680954

Marjeta Krajnc

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2017.07.001

zbMATH Keywords

numerical examplesarc-lengthgeometric interpolationquaternion polynomialsdual coordinatesrational Pythagorean-hodograph curves

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

A new method to construct polynomial minimal surfaces ⋮ Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ \( C^1\) and \(G^1\) continuous rational motions using a conformal geometric algebra ⋮ Interpolation with spatial rational Pythagorean-hodograph curves of class 4 ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ On \(G^1\) and \(G^2\) Hermite interpolation by spatial algebraic-trigonometric Pythagorean hodograph curves with polynomial parametric speed ⋮ Partial fraction decomposition for rational Pythagorean hodograph curves ⋮ \(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length ⋮ Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths ⋮ Unnamed Item ⋮ Rational framing motions and spatial rational Pythagorean hodograph curves

Cites Work

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• Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
• Interpolation with spatial rational Pythagorean-hodograph curves of class 4
• Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
• Dual representation of spatial rational Pythagorean-hodograph curves

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