摘要
用一个较简单的逼近格式去逼近Bzier曲线的offset曲线 ,即用一个三次参数曲线去逼近offset曲线 .通过分析逼近误差而由此给出了offset曲线的区间多项式逼近 ,即得到了一个包含offset曲线的区间Bzier曲线 .同时给出了区间Bzier曲线的区间控制点的大小与Bzier曲线控制顶点之间的关系 .
This paper is devoted to the study of an approximation algorithm of offset curves for the parametric Bzier curves. By considering the error of approximation, we give an interval polynomial approximation of the offset curve and obtain an interval Bzier curve only containing one interval point, the others are degenerate ones. We also develop a relation among the interval control points of the interval Bzier curve. Some examples show that such approximation coupled with the subdivision leads to better approximation effects.
基金
SupportedbyNNSFC(1 0 2 0 1 0 30 )
