Curvature approximation of circular arcs by low-degree parametric polynomials

DOI10.1515/JNMA-2014-0046zbMath1338.65029OpenAlexW2439040355MaRDI QIDQ299002

Boštjan Kovač, Emil Žagar

Publication date: 22 June 2016

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2014-0046

zbMATH Keywords

geometric continuityHausdorff distancecurvature approximationBézier curvecircular arcs approximation

Mathematics Subject Classification ID

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

Related Items (2)

Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials

Cites Work

• Curvature variation minimizing cubic Hermite interpolants
• The best \(G^{1}\) cubic and \(G^{2}\) quartic Bézier approximations of circular arcs
• Good approximation of circles by curvature-continuous Bézier curves
• Approximation of circular arcs by cubic polynomials
• Circular arc approximation by quintic polynomial curves
• Approximation of circular arcs by Bézier curves
• An approximation method to circular arcs
• Unnamed Item

This page was built for publication: Curvature approximation of circular arcs by low-degree parametric polynomials