Quintic polynomial approximation of log-aesthetic curves by curvature deviation

DOI10.1016/J.CAM.2015.10.002zbMath1342.65096OpenAlexW1812955259MaRDI QIDQ898963

Xueyan Xiang, Li-Zheng Lu

Publication date: 21 December 2015

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.2015.10.002

zbMATH Keywords

polynomial approximationlog-aesthetic curvemonotone curvature\(G^2\) interpolationquintic Bézier curve

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (1)

Log-aesthetic curves: similarity geometry, integrable discretization and variational principles

Cites Work

• Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions
• Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals
• On polynomial approximation of circular arcs and helices
• An arc spline approximation to a clothoid
• The best \(G^{1}\) cubic and \(G^{2}\) quartic Bézier approximations of circular arcs
• Approximation of logarithmic spirals
• Super space clothoids
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