Controlling the curvature of a quadratic Bézier curve

DOI10.1016/0167-8396(92)90008-DzbMath0756.65012OpenAlexW1998705234MaRDI QIDQ1195067

Nickolas S. Sapidis, William H. Frey

Publication date: 13 October 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(92)90008-d

zbMATH Keywords

geometric characterizationmonotone curvaturequadratic Bézier curvessymmetric Bézier curve

Mathematics Subject Classification ID

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

Related Items

Shape control of Bézier surfaces with iso-parametric monotone curvature constraints, Designing fair curves using monotone curvature pieces, New method for distinguishing planar rational cubic B-spline curve segments as monotone curvature variation, Curvatures of the quadratic rational Bézier curves, Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin, Hermite interpolation with Tschirnhausen cubic spirals, Constructing Bézier curves with monotone curvature, Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions, Planar class A Bézier curves: the case of real eigenvalues, A sufficient condition for 3D typical curves

Cites Work

• Automatic fairing algorithm for B-spline curves
• A survey of curve and surface methods in CAGD
• Fairing cubic B-spline curves
• Shape preservation and the fairness of curves
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