Computing real inflection points of cubic algebraic curves

DOI10.1016/S0167-8396(03)00022-0zbMath1069.65512OpenAlexW2115760608MaRDI QIDQ2388498

Wenping Wang, Falai Chen

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(03)00022-0

zbMATH Keywords

singular pointinvariantalgebraic curveinflection pointHessian curve

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Auxetic deformations and elliptic curves ⋮ Rational quadratic approximation to real algebraic curves

Cites Work

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• Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids
• Parametrizing and graphing nonsingular cubic curves
• Parametric cubics as algebraic curves
• Geometric control of \(G^{2}\)-cubic A-splines
• Detecting cusps and inflection points in curves
• Identification of inflection points and cusps on rational curves
• A geometric characterization of parametric cubic curves
• Computing quadric surface intersections based on an analysis of plane cubic curves
• On the Problem of Runs

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