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有理Bézier曲线高阶导矢界的计算
A method for estimating higher derivative bounds of rational Bézier curves
【摘要】 由一个简单不等式出发,采用函数分解之后再归类综合的方法,提出一种有理Bézier曲线高阶导矢界的计算方法。当有理Bézier曲线的权因子都退化为1时,高阶导矢界就退化成Bézier曲线的高阶导矢界。
【Abstract】 Based on a simple inequality, this paper presents a method for estimating higher derivative bounds of rational Bézier curves by using the method of function decomposition and classification synthesis. If all the weights of rational Bezier curves are degenerated into 1, the higher derivative bounds are reduced to those of Bézier curves.
【关键词】 有理Bézier曲线;
高阶导矢;
导矢界;
【Key words】 rational Bézier curve; higher derivative; derivative bounds;
【Key words】 rational Bézier curve; higher derivative; derivative bounds;
【基金】 浙江省自然科学基金资助项目(LQ17A010009,LGF20G010005)
- 【文献出处】 杭州电子科技大学学报(自然科学版) ,Journal of Hangzhou Dianzi University(Natural Sciences) , 编辑部邮箱 ,2021年01期
- 【分类号】TP391.72
- 【被引频次】1
- 【下载频次】38