两条连续的有理Bézier曲线的逼近合并

Approximate Merging of a Pair of Rational Bézier Curves by a Rational Bézier Curve

目前多项式 Bézier曲线的逼近合并问题已研究得比较深入 ,而有理 Bézier情形主要还是通过两类多项式 h<r,p>和 H<r,p>来降阶逼近 ,但是在工业制造中有重要意义的有理 Bézier曲线的合并问题一直缺乏研究 .本文通过控制点的优化扰动将两连续的满足权约束条件的有理 Bézier曲线转化成新的两有理Bézier曲线 ,使它们符合精确合并条件 ;并将合并得到的同阶有理

Approximate merging of polynomial Bézier curves has been studied deeply, while rational case is still be dealed with h〈r,p〉 polynomial approximation. But in industry of production, the same important study of merging of a pair of rational Bézier curves is absent. In this paper, an approximation approach is presented for merging two adjacent rational Bézier curves which satisfy a equtation about the weight.