Cubic spline approximation of a circle with maximal smoothness and accuracy

DOI10.1016/j.cagd.2017.05.001zbMath1377.65019OpenAlexW2618765866MaRDI QIDQ1680952

A. Dieterich, Klaus Höllig, Christian Apprich, Esfandiar Nava-Yazdani

Publication date: 17 November 2017

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2017.05.001

zbMATH Keywords

cubic splineBézier curvegeometric smoothnesshigh accuracy approximation of circles

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Construction of approximation functionals for minimal splines ⋮ Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials

Cites Work

• Geometric Hermite interpolation with maximal order and smoothness
• Good approximation of circles by curvature-continuous Bézier curves
• High accuracy geometric Hermite interpolation
• Approximation of circular arcs by cubic polynomials
• Approximation of circular arcs by Bézier curves
• Geometric Hermite interpolation -- in memoriam Josef Hoschek

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