Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles

DOI10.1016/j.cam.2014.10.005zbMath1304.65101OpenAlexW2068648122WikidataQ114202140 ScholiaQ114202140MaRDI QIDQ475658

Luc Biard, Rachid Ait-Haddou, Zhong Li

Publication date: 27 November 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.10.005

zbMATH Keywords

algorithmnumerical examplespath planning\(G^3\) Hermite interpolationhighway designingPH curvespiecewise rational Pythagorean hodograph convex spiralrational spiral

Mathematics Subject Classification ID

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

Related Items (2)

A note on Pythagorean hodograph quartic spiral ⋮ Sparse Pythagorean hodograph curves

Cites Work

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• Specifying the arc length of Bézier curves
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• Planar spirals that match \(G^2\) Hermite data
• Curve design with rational Pythagorean-hodograph curves
• Pythagorean Triples in Uniquef Factorization Domains

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