A two-point \(G^1\) Hermite interpolating family of spirals

DOI10.1016/j.cam.2007.12.027zbMath1156.65016OpenAlexW1999421029MaRDI QIDQ953374

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.2007.12.027

zbMATH Keywords

numerical examplesfamily of spiralstwo-point Hermite interpolation

Mathematics Subject Classification ID

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

Related Items (5)

Hermite parametric surface interpolation based on Argyris element ⋮ Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals ⋮ Error inequalities for quintic and biquintic discrete Hermite interpolation ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ Point-Clothoid Distance and Projection Computation

Cites Work

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• A note on finding clothoids
• An involute spiral that matches \(G^{2}\) Hermite data in the plane
• Rational curves and surfaces with rational offsets
• High accuracy geometric Hermite interpolation
• Interpolation with piecewise quadratic visually \(C^ 2\) Bézier polynomials
• A guided clothoid spline
• Euler spiral for shape completion
• Planar spirals that match \(G^2\) Hermite data
• The family of biarcs that matches planar, two-point \(G^{1}\) Hermite data

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