Uniform approximation of a circle by a parametric polynomial curve
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Publication:1632394
DOI10.1016/j.cagd.2015.10.004zbMath1417.65081OpenAlexW2175722673MaRDI QIDQ1632394
Publication date: 14 December 2018
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2015.10.004
Related Items (12)
Construction of approximation functionals for minimal splines ⋮ Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness ⋮ Optimal parametric interpolants of circular arcs ⋮ Circular arc approximation by hexic polynomial curves ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials ⋮ Unnamed Item ⋮ On parametric polynomial circle approximation ⋮ On optimal polynomial geometric interpolation of circular arcs according to the Hausdorff distance ⋮ A general framework for the optimal approximation of circular arcs by parametric polynomial curves ⋮ A property of parametric polynomial approximants of half circles ⋮ A totally positive basis for circle approximations
Cites Work
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- High-order parametric polynomial approximation of conic sections
- An approximation of circular arcs by quartic Bézier curves
- The best \(G^{1}\) cubic and \(G^{2}\) quartic Bézier approximations of circular arcs
- High order parametric polynomial approximation of quadrics in \(\mathbb{R}^d\)
- High-order approximation of conic sections by quadratic splines
- On geometric interpolation of circle-like curves
- Good approximation of circles by curvature-continuous Bézier curves
- Approximation of circular arcs by parametric polynomial curves
- Approximation of circular arcs by cubic polynomials
- Circular arc approximation by quintic polynomial curves
- 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
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