\(G^3\) approximation of conic sections by quintic polynomial curves

DOI10.1016/S0167-8396(99)00017-5zbMath0997.65024OpenAlexW1963925618WikidataQ127884603 ScholiaQ127884603MaRDI QIDQ1605751

Lian Fang

Publication date: 23 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(99)00017-5

zbMATH Keywords

shape preservinggeometric continuityconic sectionsgeometric Hermite interpolantquintic polynomial curves

Mathematics Subject Classification ID

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

Related Items (15)

Constrained polynomial approximation of quadric surfaces ⋮ Optimal parameter values for approximating conic sections by the quartic Bézier curves ⋮ Uniform approximation of a circle by a parametric polynomial curve ⋮ High-order parametric polynomial approximation of conic sections ⋮ \(G^1\) approximation of conic sections by quartic Bézier curves ⋮ Approximation of conic section by quartic Bézier curve with endpoints continuity condition ⋮ Approximation of conic sections by curvature continuous quartic Bézier curves ⋮ Approximating conic sections by constrained Bézier curves of arbitrary degree ⋮ High order approximation of rational curves by polynomial curves ⋮ Explicit \(G^1\) approximation of conic sections using Bézier curves of arbitrary degree ⋮ On parametric polynomial circle approximation ⋮ Circle approximation using LN Bézier curves of even degree and its application ⋮ Piecewise quartic polynomial curves with a local shape parameter ⋮ Sequence of \(G^n\) LN polynomial curves approximating circular arcs ⋮ On geometric interpolation of circle-like curves

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