Derivative bound estimations on rational conic Bézier curves

DOI10.1016/J.AMC.2014.09.121zbMath1338.65047OpenAlexW2079289875MaRDI QIDQ298420

Chongyang Deng, Jianzhen Liu, Wenbiao Jin, Ya-Juan Li

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.121

zbMATH Keywords

derivativeboundrational conic Bézier curves

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces
• Improved bounds on partial derivatives of rational triangular Bézier surfaces
• Improved bounds on the magnitude of the derivative of rational Bézier curves
• The bound on derivatives of rational Bézier curves
• On the derivative formula of a rational Bézier curve at a corner
• Derivatives of rational Bézier curves
• On the derivatives of second and third degree rational Bézier curves
• 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
• An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces
• On the bounds of the derivative of rational Bézier curves
• New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

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