The best uniform quadratic approximation of circular arcs with high accuracy

DOI10.1515/math-2016-0012zbMath1347.41008OpenAlexW2314644317MaRDI QIDQ317840

Abedallah Rababah

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0012

zbMATH Keywords

circular arcBézier curvesapproximation orderhigh accuracyequioscillationquadratic best uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

• Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves
• High-order approximation of conic sections by quadratic splines
• High order approximation method for curves
• Good approximation of circles by curvature-continuous Bézier curves
• High accuracy Hermite approximation for space curves in \(\mathbb {R}^d\)
• High accuracy geometric Hermite interpolation
• Approximation of circular arcs by cubic polynomials
• Bézier and B-spline techniques
• Taylor Theorem for Planar Curves
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