Minimizing the maximal ratio of weights of rational Bézier curves and surfaces

DOI10.1016/j.cagd.2010.08.001zbMath1210.65035OpenAlexW2036847821MaRDI QIDQ631531

Guo-Jin Wang, Hong-Jie Cai

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.08.001

zbMATH Keywords

numerical examplescontrol pointsdegree reductionMöbius transformationrational Bézier curverational Bézier surfacebounds of derivatives

Mathematics Subject Classification ID

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

Related Items (5)

New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces ⋮ Bounds on partial derivatives of NURBS surfaces ⋮ Degenerations of rational Bézier surface with weights in the form of exponential function ⋮ The invariant functions and invariant-image conditions of the rational Bézier triangles ⋮ Judging or setting weight steady-state of rational Bézier curves and surfaces

Cites Work

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• The bound on derivatives of rational Bézier curves
• Surface algorithms using bounds on derivatives
• Derivatives of rational Bézier curves
• Partial derivatives of rational Bézier surfaces
• Constrained multi-degree reduction of rational Bézier curves using reparameterization
• On the convergence of hybrid polynomial approximation to higher derivatives of rational curves
• Some improvements on the derivative bounds of rational Bézier curves and surfaces
• 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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