A guided clothoid spline

DOI10.1016/0167-8396(91)90042-AzbMath0829.65005OpenAlexW2065368470MaRDI QIDQ1175519

R. S. D. Thomas, D. S. Meek

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90042-a

zbMATH Keywords

curve modelinginterpolating clothoid splinepiecewise linear curvature

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (12)

Generation of log-aesthetic curves using adaptive Runge-Kutta methods ⋮ A note on Pythagorean hodograph quartic spiral ⋮ Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin ⋮ Approximation of logarithmic spirals ⋮ Curvature of planar aesthetic curves ⋮ Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves ⋮ A two-point \(G^1\) Hermite interpolating family of spirals ⋮ Efficient intersection between splines of clothoids ⋮ Second order spiral splines ⋮ Clothoid Spline Transition Spirals ⋮ Closed form parametrisation of 3D clothoids by arclength with both linear varying curvature and torsion ⋮ Planar spirals that match \(G^2\) Hermite data

Cites Work

• Unnamed Item
• The use of Cornu spirals in drawing planar curves of controlled curvature
• Curve Fitting with Clothoidal Splines
• Rational Approximations for the Fresnel Integrals

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