Hermite interpolation with Tschirnhausen cubic spirals

DOI10.1016/S0167-8396(96)00050-7zbMath0896.65004OpenAlexW1968718214MaRDI QIDQ1391157

D. S. Meek, D. J. Walton

Publication date: 22 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00050-7

zbMATH Keywords

Hermite interpolationspiralsTschirnhausen cubics

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (9)

Geometric Hermite curves with minimum strain energy ⋮ Geometric Hermite interpolation with Tschirnhausen cubics ⋮ \(G^{1}\) Hermite interpolation by PH cubics revisited ⋮ \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs ⋮ An approach to geometric interpolation by Pythagorean-hodograph curves ⋮ On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves ⋮ Offset-rational sinusoidal spirals in bézier form ⋮ Planar \(G^{1}\) Hermite interpolation with spirals ⋮ Coaxing a planar curve to comply

Cites Work

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• Shape determination of planar uniform cubic B-spline segments
• Shape preserving interpolation by curvature continuous parametric curves
• Controlling the curvature of a quadratic Bézier curve
• Approximation of discrete data by \(G^ 1\) arc splines
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Some Plane Curvature Approximations
• A geometric characterization of parametric cubic curves

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