On polynomial approximation of circular arcs and helices

DOI10.1016/J.CAMWA.2011.12.036zbMath1247.65010OpenAlexW2068546124MaRDI QIDQ453848

Li-Zheng Lu

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.036

zbMATH Keywords

polynomial approximationcircular arcHermite interpolanthelix

Mathematics Subject Classification ID

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

Related Items (7)

On \(k\)-type pseudo null Darboux helices in Minkowski 3-space ⋮ Optimal parameter values for approximating conic sections by the quartic Bézier curves ⋮ Construction of approximation functionals for minimal splines ⋮ \(G^1\) approximation of conic sections by quartic Bézier curves ⋮ Approximation of conic section by quartic Bézier curve with endpoints continuity condition ⋮ Quintic polynomial approximation of log-aesthetic curves by curvature deviation ⋮ An approximation method to circular arcs

Cites Work

• Unnamed Item
• Circle approximation using integral B-splines
• An approximation of circular arcs by quartic Bézier curves
• The best \(G^{1}\) cubic and \(G^{2}\) quartic Bézier approximations of circular arcs
• Circular arc approximation by quintic polynomial curves
• Approximating a helix segment with a rational Bézier curve
• An \(O(h^{2n})\) Hermite approximation for conic sections
• Approximating the helix with rational cubic Bézier curves
• High accuracy approximation of helices by quintic curves
• Helix approximations with conic and quadratic Bézier curves
• Two‐Point Taylor Expansions of Analytic Functions

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