A rational quartic Bézier representation for conics

DOI10.1016/S0167-8396(02)00096-1zbMath0995.68139OpenAlexW2062606066MaRDI QIDQ1603810

Lian Fang

Publication date: 15 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(02)00096-1

zbMATH Keywords

homogeneous spaceconic sectionsrational Bézier curveskinned surfaces

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (9)

High accuracy approximation of helices by quintic curves ⋮ \(G^1\) approximation of conic sections by quartic Bézier curves ⋮ Necessary and sufficient conditions for rational quartic representation of conic sections ⋮ Approximation of conic section by quartic Bézier curve with endpoints continuity condition ⋮ Approximation of conic sections by curvature continuous quartic Bézier curves ⋮ Approximating conic sections by constrained Bézier curves of arbitrary degree ⋮ The representation of circular arc by using rational cubic Timmer curve ⋮ Rational cubic/quartic Said-Ball conics ⋮ \(C^{1}\) NURBS representations of \(G^{1}\) composite rational Bézier curves

Cites Work

• Improperly parametrized rational curves
• The rational cubic Bézier representation of conics
• Higher order Bézier circles
• Skinning rational B-spline curves to construct an interpolatory surface
• Reparameterization of piecewise rational Bezier curves and its applications

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