High-order parametric polynomial approximation of conic sections
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Publication:359597
DOI10.1007/s00365-013-9189-zzbMath1276.41003OpenAlexW2070574693MaRDI QIDQ359597
Marjeta Krajnc, Vito Vitrih, Gašper Jaklič, Emil Žagar, Jernej Kozak
Publication date: 12 August 2013
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-013-9189-z
Numerical smoothing, curve fitting (65D10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (9)
Uniform approximation of a circle by a parametric polynomial curve ⋮ Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness ⋮ Circular arc approximation by hexic polynomial curves ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Unnamed Item ⋮ On characteristic polynomials for a generalized chiral random matrix ensemble with a source ⋮ On parametric polynomial circle approximation ⋮ A general framework for the optimal approximation of circular arcs by parametric polynomial curves ⋮ A property of parametric polynomial approximants of half circles
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- Approximation of circular arcs by Bézier curves
- An \(O(h^{2n})\) Hermite approximation for conic sections
- \(G^3\) approximation of conic sections by quintic polynomial curves
- Pell's equation
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