摘要
在对C-Bézier基函数及曲线端点特性分析的基础上,选择C-Bézier曲线中的控制参数,构造一条C-Bézier曲线来逼近船型曲线(平面三次分段曲线),结果表明C-Bézier曲线是局部存在的,并且增强了C-Bézier曲线的控制及逼近曲线形状的能力,此法直观、简明,易于操作,也能满足放样要求,并可进一步推广到其它曲线或曲面的逼近。
Based on the analysis of C - Bezier basis functions and terminal properties, the control parameter of C-Bezier would be choiced. A 3 - dimension C - Bezier curve is constructed to approximate the ship line - plane cubic piecewise curve. Study shows thai the solution exists locally, the C - Bezier capacity of control and approximation curve shape would be strengthened. The method was direct and simple, and it is easy to operate, The approximation could be satisfied with ship lofting. The results can also be extended to approximate other curve and surface modeling with C-Bezier.
出处
《杭州电子科技大学学报（自然科学版）》
2005年第5期88-91,共4页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
杭州电子科技大学科学研究基金资助(KYF09150423)
关键词
船体放样
三次曲线
逼近
ship lofting
cubic curve
approximation
