High order approximation of degree nine and order eighteen

DOI10.1186/s13660-019-2103-xzbMath1499.65050OpenAlexW2946862479WikidataQ127811227 ScholiaQ127811227MaRDI QIDQ2067898

Abedallah Rababah

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2103-x

zbMATH Keywords

Bézier curveshigh order approximationnonic polynomials

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) 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) Approximation by other special function classes (41A30)

Cites Work

• The best uniform quadratic approximation of circular arcs with high accuracy
• Approximation of circular arcs and offset curves by Bézier curves of high degree
• An approximation of circular arcs by quartic Bézier curves
• Good approximation of circles by curvature-continuous Bézier curves
• High accuracy Hermite approximation for space curves in \(\mathbb {R}^d\)
• Approximation of circular arcs by cubic polynomials
• Taylor Theorem for Planar Curves
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