\(G^1\) interpolation with a single Cornu spiral segment

DOI10.1016/j.cam.2007.12.022zbMath1155.65013OpenAlexW2019976810MaRDI QIDQ953373

D. J. Walton, D. S. Meek

Publication date: 20 November 2008

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.2007.12.022

zbMATH Keywords

numerical examplesHermite interpolationCornu spiralEuler spiralclothoid\(G^1\) interpolation

Mathematics Subject Classification ID

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

Related Items

Interpolation of two-dimensional curves with Euler spirals ⋮ 3D Euler spirals for 3D curve completion ⋮ Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals ⋮ On the \(G^2\) Hermite interpolation problem with clothoids ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ G¹ fitting with clothoids

Cites Work

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• Offset curves of clothoidal splines
• The use of Cornu spirals in drawing planar curves of controlled curvature
• Curve fitting with arc splines for NC toolpath generation
• Euler spiral for shape completion
• The family of biarcs that matches planar, two-point \(G^{1}\) Hermite data
• Clothoid Spline Transition Spirals
• Mathematical typography
• Shape-preserving interpolation by G1 and G2 PH quintic splines