A general framework for the optimal approximation of circular arcs by parametric polynomial curves
From MaRDI portal
Publication:1789695
DOI10.1016/j.cam.2018.06.020zbMath1401.65021arXiv1711.04523OpenAlexW2770175418WikidataQ129636598 ScholiaQ129636598MaRDI QIDQ1789695
Publication date: 10 October 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.04523
Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ Geometric approximation of the sphere by triangular polynomial spline patches ⋮ Optimal parametric interpolants of circular arcs ⋮ Circular arc approximation by hexic polynomial curves ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Unnamed Item ⋮ Circle approximation by \(G^2\) Bézier curves of degree \(n\) with \(2 n - 1\) extreme points ⋮ On optimal polynomial geometric interpolation of circular arcs according to the Hausdorff distance ⋮ A totally positive basis for circle approximations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some new \(G^1\) quartic parametric approximants of circular arcs
- 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
- On parametric polynomial circle approximation
- On geometric interpolation of circle-like curves
- 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
- Uniform approximation of a circle by a parametric polynomial curve
- An approximation method to circular arcs
- CIRCLE APPROXIMATION BY QUARTIC G2SPLINE USING ALTERNATION OF ERROR FUNCTION
- Applications of the Hahn-Banach Theorem in Approximation Theory
- Uniform Generalized Weight Function Polynomial Approximation with Interpolation
