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

Author:

Zhang Ren-Jiang,Ma Weiyin

Publisher

Elsevier BV

Subject

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

Reference8 articles.

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

2. Algorithms for rational Bézier curves;Farin;Computer-Aided Design,1983

3. On the derivatives of second and third degree rational Bézier curves;Hermann;Computer Aided Geometric Design,1999

4. Rational hodographs;Sederberg;Computer Aided Geometric Design,1987

5. New bounds on the magnitude of the derivative of rational Bézier curves and surfaces;Selimovic;Computer Aided Geometric Design,2005

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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

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

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

4. Improved derivative bounds of the rational quadratic Bézier curves;Applied Mathematics and Computation;2015-01

5. Derivative bound estimations on rational conic Bézier curves;Applied Mathematics and Computation;2014-12

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