Minimizing the maximal ratio of weights of a rational Bézier curve

DOI10.1016/j.cagd.2004.12.003zbMath1090.65021OpenAlexW2023300822MaRDI QIDQ2573855

Jianmin Zheng

Publication date: 25 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2004.12.003

zbMATH Keywords

weightsderivativeMöbius transformationrational Bezier curves

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 ⋮ Minimizing the maximal ratio of weights of rational Bézier curves and surfaces ⋮ Constrained multi-degree reduction of rational Bézier curves using reparameterization ⋮ 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

• Hodographs and normals of rational curves and surfaces
• Surface algorithms using bounds on derivatives
• Derivatives of rational Bézier curves
• Optimal parameterizations
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