摘要
将B样条曲线转换为Bézier曲线,基于Bézier曲线间的光滑拼接的理论,研究了带多形状参数的Bézier曲线(CE-Bézier曲线)与均匀B样条曲线的拼接问题,得出均匀B样条曲线与CE-Bézier曲线的G0,G1,G2光滑拼接条件.在达到拼接条件的前提下,通过改变CE-Bézier曲线的形状参数的数值大小,可以灵活调整拼接曲线的形状.
Based on the theory of curvessmooth connection,the paper researched the connection problem between Bézier curves with multiple shape parameters（CE-Bézier）and uniform B-spline curves,through converting B-spline curves to Bézier representation.The necessary and sufficient conditions of G0,G1,G2 splicing between CE-Bézier curves and uniform B-spline curves were proposed.After meeting the splicing conditions,by changing the shape parameters of CE-Bézier curve,the shape of the stitching curve can be adjusted flexibly.
出处
《大学数学》
2015年第1期26-30,共5页
College Mathematics
基金
国家自然科学基金青年基金(61100126)
安徽省自然科学基金(1308085MA09)
合肥工业大学横向课题(JY13-014)
