The eccentricity of conic sections formulated as rational Bézier quadratics

DOI10.1016/J.CAGD.2010.04.001zbMath1210.65048OpenAlexW2045442863MaRDI QIDQ631043

Chendong Xu, Tae-Wan Kim, Gerald Farin

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.04.001

zbMATH Keywords

eccentricityconic sectionsCAGDcontrol-pointsrational quadratic Bézier curves

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Least eccentric ellipses for geometric Hermite interpolation ⋮ Determining tension parameters in rational gamma-spline interpolation ⋮ Simple determination via complex arithmetic of geometric characteristics of Bézier conics ⋮ Circle reproduction with interpolatory curves at local maximal curvature points

Cites Work

• Curvatures of the quadratic rational Bézier curves
• Curvature continuity and offsets for piecewise conics

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