Planar spirals that match \(G^2\) Hermite data

DOI10.1016/S0167-8396(97)00020-4zbMath0996.65009OpenAlexW1985879428MaRDI QIDQ1605710

D. J. Walton, D. S. Meek

Publication date: 23 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)00020-4

zbMATH Keywords

circular arcsTschirnhausen cubicclothoidHermite dataplanar spirals

Mathematics Subject Classification ID

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

Related Items (9)

Interpolation with cubic spirals ⋮ \(C^{2}\) pseudo rolling ball filleting ⋮ Construction of spirals with prescribed boundary conditions ⋮ An involute spiral that matches \(G^{2}\) Hermite data in the plane ⋮ Applying inversion to construct planar, rational spirals that satisfy two-point \(G^{2}\) Hermite data ⋮ Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme ⋮ Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles ⋮ A two-point \(G^1\) Hermite interpolating family of spirals ⋮ On the \(G^2\) Hermite interpolation problem with clothoids

Cites Work

• A guided clothoid spline
• Clothoid Spline Transition Spirals
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