New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces

作者：

Highlights：

• New minimal bounds are derived for the magnitudes of the derivatives of rational Bézier paths and surfaces.

• The derived minimal bounds are for a generic and well-known type of pointwise bound.

• Simple, explicit closed-form expressions are obtained for the minimal bounds.

摘要

•New minimal bounds are derived for the magnitudes of the derivatives of rational Bézier paths and surfaces.•The derived minimal bounds are for a generic and well-known type of pointwise bound.•Simple, explicit closed-form expressions are obtained for the minimal bounds.

论文关键词：Rational Bezier parametrisation,Derivative bounds

论文评审过程：Available online 26 October 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.09.039