Some improvements on the derivative bounds of rational Bézier curves and surfaces

DOI10.1016/j.cagd.2006.01.006zbMath1114.65307OpenAlexW2077836454MaRDI QIDQ2506952

Weiyin Ma, Ren-Jiang Zhang

Publication date: 10 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.01.006

zbMATH Keywords

derivative boundsrational Bézier curveratinal Bézier surface

Mathematics Subject Classification ID

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

Related Items (9)

New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces ⋮ Derivative bound estimations on rational conic Bézier curves ⋮ Bounds on partial derivatives of NURBS surfaces ⋮ Improved derivative bounds of the rational quadratic Bézier curves ⋮ Minimizing the maximal ratio of weights of rational Bézier curves and surfaces ⋮ Improved bounds on the magnitude of the derivative of rational Bézier curves ⋮ 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 ⋮ On the derivative formula of a rational Bézier curve at a corner

Cites Work

• Rational hodographs
• 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.
• New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

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