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

Author:

Cai Hong-Jie,Wang Guo-Jin

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modeling and Simulation

Reference10 articles.

1. Constrained multi-degree reduction of rational Bézier curves using reparameterization;Cai;Journal of Zhejiang University Science A,2007

2. Surface algorithms using bounds on derivatives;Filip;Computer Aided Geometric Design,1986

3. Derivatives of rational Bézier curves;Floater;Computer Aided Geometric Design,1992

4. The bound of derivatives of rational Bézier curves;Huang;Computer Aided Geometric Design,2006

5. Analytical Geometry;Pogorelov,1984

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1. Shape factors and shoulder points for shape control of rational Bézier curves;Computer-Aided Design;2023-04

2. An Improvement on the Upper Bounds of the Partial Derivatives of NURBS Surfaces;Mathematics;2020-08-18

3. Bounds on partial derivatives of NURBS surfaces;Applied Mathematics-A Journal of Chinese Universities;2017-09

4. Degenerations of rational Bézier surface with weights in the form of exponential function;Applied Mathematics-A Journal of Chinese Universities;2017-06

5. A conjecture on the derivative bounds of rational Bézier curves;International Journal of Modelling and Simulation;2016-01-02

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