摘要
为了有效地改进Bézier曲线的形状,给出了带局部形状参数的广义Bézier曲线,该曲线的表示式以一种函数的高阶逼近式为依据.通过对目标导矢和目标二阶导矢的系数的调整,生成满意的多项式曲线.所给曲线以Bézier曲线为特殊情形,能对较高次的B啨zier曲线进行有效地修改,也能方便地进行曲线段的拼接.
In order to adjust effectively the shape of the Bézier curves, generalized Bézier curves with local shape parameters are given in this paper. Based on a kind of higher approximate polynomials of a function, satisfying curves can be generated by changing the given object derivative vectors. Taking the Bézier curve as a special case, the given curve is an effective modification for the Bézier curve of higher degree and curve segments can be joined up conveniently.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2006年第3期406-409,共4页
Journal of Computer-Aided Design & Computer Graphics
