New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces

DOI10.1016/j.amc.2013.09.039zbMath1334.65040OpenAlexW2023853757MaRDI QIDQ275775

F. Blanchet-Sadri, M. Dambrine

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/12291200/MinimalBounds_revisedsubmitted.pdf

zbMATH Keywords

derivative boundsrational Bezier parametrisation

Mathematics Subject Classification ID

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

Related Items (2)

Derivative bound estimations on rational conic Bézier curves ⋮ Improved derivative bounds of the rational quadratic Bézier curves

Cites Work

• Minimizing the maximal ratio of weights of rational Bézier curves and surfaces
• Improved bounds on the magnitude of the derivative of rational Bézier curves
• The bound on derivatives of rational Bézier curves
• Derivatives of rational Bézier curves
• On the derivatives of second and third degree rational Bézier curves
• Partial derivatives of rational Bézier surfaces
• The proof of Hermann's conjecture.
• A new bound on the magnitude of the derivative of rational Bézier curve
• On derivative bounds for the rational quadratic Bézier paths
• Some improvements on the derivative bounds of rational Bézier curves and surfaces
• On the bounds of the derivative of rational Bézier curves
• Minimizing the maximal ratio of weights of a rational Bézier curve
• New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

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