An arc spline approximation to a clothoid

DOI10.1016/j.cam.2003.12.038zbMath1050.65016OpenAlexW2009620679MaRDI QIDQ596179

D. S. Meek, D. J. Walton

Publication date: 10 August 2004

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.2003.12.038

zbMATH Keywords

spline approximationclothoidsarc spline

Mathematics Subject Classification ID

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

Related Items (11)

Geometric Hermite interpolation by logarithmic arc splines ⋮ Smooth polynomial approximation of spiral arcs ⋮ Circular spline fitting using an evolution process ⋮ A note on finding clothoids ⋮ Quintic polynomial approximation of log-aesthetic curves by curvature deviation ⋮ Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves ⋮ The family of biarcs that matches planar, two-point \(G^{1}\) Hermite data ⋮ Second order spiral splines ⋮ Fat Arcs for Implicitly Defined Curves ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ Mathematical design of a highway exit curve

Cites Work

• The use of Cornu spirals in drawing planar curves of controlled curvature
• Approximation of discrete data by \(G^ 1\) arc splines
• Approximating smooth planar curves by arc splines
• The Curve of Least Energy
• Rational Approximations for the Fresnel Integrals
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