On derivative bounds for the rational quadratic Bezier paths

H.E. Bez; N. Bez

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On derivative bounds for the rational quadratic Bezier paths

机译：关于有理二次Bezier路径的导数界

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摘要

New derivative bounds for the rational quadratic Bezier paths are obtained, both for particular weight vectors and for classes of equivalent parametrisations. A comprehensive analysis of our bounds against existing bounds is made.

机译：对于特定的权重矢量和等效参数类别，都获得了有理二次贝塞尔曲线的新导数界。对我们的界限与现有界限进行了综合分析。

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来源
《Computer Aided Geometric Design》 |2013年第2期|254-261|共8页
作者
H.E. Bez; N. Bez;
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作者单位

Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK;

School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
derivative bounds; quadratic bezier paths; rational parametrisation; optimal parametrisation;

机译：导数界二次贝塞尔曲线合理的参数化;最佳参数化;

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专利

1. Improved derivative bounds of the rational quadratic Bezier curves [J] . Zhang Ren-Jiang Applied mathematics and computation . 2015,第Null期

机译：有理二次贝塞尔曲线的改进的导数界
2. A conjecture on the derivative bounds of rational Bezier curves [J] . Ren-Jiang Zhang, Lei Jiang International Journal Of Modelling & Simulation . 2016,第1a2期

机译：关于有理贝塞尔曲线的导数界的一个猜想
3. An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bezier surfaces [J] . Yanhong Liu, Xiaoming Zeng, Juan Cao Computer Aided Geometric Design . 2014,第5期

机译：有理三角Bezier曲面导数的大小上限的改进
4. Bounding interval rational Bezier curves with interval polynomial Bezier curves [C] . Falai Chen, Sederberg, T.W. Geometric Modeling and Processing 2000. Theory and Applications. Proceedings . 2000

机译：具有区间多项式Bezier曲线的有界区间有理Bezier曲线
5. Adaptive bounding algorithms for the arclength and surface area of Bezier curves and surfaces. [D] . Png, Teck Tian. 1991

机译：贝塞尔曲线和曲面的弧长和表面积的自适应边界算法。
6. Robot Path Planning Based on Genetic Algorithm Fused with Continuous Bezier Optimization [O] . Jianwei Ma, Yang Liu, Shaofei Zang, 2020

机译：基于遗传算法融合连续Bezier优化的机器人路径规划
7. On derivative bounds for the rational quadratic Bézier paths [O] . Bez Helmut E., Bez Neal 2013

机译：关于有理二次Bézier路径的导数界
8. Lower Bounds for Eigenvalues of a Quadratic Form Relative to a Positive Quadratic Form [R] . Fox, D. W., Bazley, N. W., Borsch-Supan, W. 1965

机译：相对于正二次型的二次型特征值的下界

On derivative bounds for the rational quadratic Bezier paths

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