An involute spiral that matches \(G^{2}\) Hermite data in the plane

DOI10.1016/j.cagd.2009.03.009zbMath1205.65083OpenAlexW2090146861MaRDI QIDQ625222

D. S. Meek, D. J. Walton, Tim N. T. Goodman

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.03.009

zbMATH Keywords

\(G^{2}\) Hermite interpolationrational spirals

Mathematics Subject Classification ID

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

Related Items

Planar interpolation with a pair of rational spirals ⋮ 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

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• Prescribing the length of parametric curves
• Rational curves and surfaces with rational offsets
• A generalisation of the Pythagorean hodograph quintic spiral
• \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• Planar interpolation with a pair of rational spirals
• Specifying the arc length of Bézier curves
• Planar spirals that match \(G^2\) Hermite data
• Curve design with rational Pythagorean-hodograph curves
• Clothoid Spline Transition Spirals

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