Clothoid Spline Transition Spirals

DOI10.2307/2152983zbMath0756.65005OpenAlexW4251162168MaRDI QIDQ4012386

D. S. Meek, D. J. Walton

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2152983

zbMATH Keywords

algorithmscentre lines of highways and railwaysclothoid splineclothoid spline transition spiral

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (22)

Generation of log-aesthetic curves using adaptive Runge-Kutta methods ⋮ Geometric Hermite interpolation by logarithmic arc splines ⋮ Generalized Fresnel integrals and fractal properties of related spirals ⋮ Smooth polynomial approximation of spiral arcs ⋮ Planar interpolation with a pair of rational spirals ⋮ A note on finding clothoids ⋮ Approximation of logarithmic spirals ⋮ Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves ⋮ An involute spiral that matches \(G^{2}\) Hermite data in the plane ⋮ Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves ⋮ 3D Euler spirals for 3D curve completion ⋮ Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme ⋮ \(G^1\) interpolation with a single Cornu spiral segment ⋮ Curvature extrema of planar parametric polynomial cubic curves ⋮ On the \(G^2\) Hermite interpolation problem with clothoids ⋮ Planar \(G^2\) Hermite interpolation with some fair, \(C\)-shaped curves ⋮ Efficient robust approximation of the generalised Cornu spiral ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ Planar \(G^{1}\) Hermite interpolation with spirals ⋮ The generalised Cornu spiral and its application to span generation ⋮ Hermite interpolation with a pair of spirals ⋮ Planar spirals that match \(G^2\) Hermite data

Cites Work

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• The use of Cornu spirals in drawing planar curves of controlled curvature
• A guided clothoid spline
• Curve Fitting with Clothoidal Splines
• Rational Approximations for the Fresnel Integrals
• Spherical curves and quadratic relationships for special functions
• The Hilbert Model of Hyperbolic Geometry

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